

 --------------------------------------------------------------------
 Least-Squares Test Problem      P(  200  100    4    2    0.00E+00 )
 Condition no. =  6.2500E+02     Residual function =  1.000000000E+01
 --------------------------------------------------------------------


 Enter Acheck.
 Aprod1, Aprod2 seem OK.  Relative error =   5.6E-16


 Enter LSMR.       Least-squares solution of  Ax = b
 The matrix  A  has    200 rows   and    100 columns
 damp   =  0.00000000000000E+00
 atol   =  3.18E-16               conlim =  6.25E+05
 btol   =  3.18E-16               itnlim =      1400
 localSize (no. of vectors for local reorthogonalization) =      0

   Itn   abs(x(1))           norm r         A'r    Compatible    LS      norm A    cond A
     0  0.000000000E+00  0.000000000E+00  5.69E+01  4.62E+01  1.00E+00  1.43E-02
     1  2.211758769E+00  2.294881581E+01  1.23E+01  4.03E-01  6.06E-01  8.85E-01  1.13E+00
     2  1.170776123E-01  1.485042760E+01  5.05E+00  2.61E-01  2.89E-01  1.18E+00  1.41E+00
     3  7.007029699E-01  1.214016643E+01  2.54E+00  2.13E-01  1.50E-01  1.39E+00  1.65E+00
     4  4.669049501E-01  1.107322795E+01  1.44E+00  1.95E-01  8.35E-02  1.56E+00  1.88E+00
     5  9.604571650E-02  1.059262870E+01  8.91E-01  1.86E-01  4.94E-02  1.70E+00  2.11E+00
     6  6.276423316E-01  1.035063837E+01  5.84E-01  1.82E-01  3.09E-02  1.83E+00  2.36E+00
     7  1.010511982E+00  1.021772883E+01  3.98E-01  1.80E-01  2.02E-02  1.93E+00  2.63E+00
     8  1.231255637E+00  1.013975768E+01  2.79E-01  1.78E-01  1.37E-02  2.02E+00  2.91E+00
     9  1.312888527E+00  1.009169475E+01  2.00E-01  1.77E-01  9.47E-03  2.09E+00  3.22E+00
    10  1.287225095E+00  1.006095072E+01  1.45E-01  1.77E-01  6.68E-03  2.15E+00  3.57E+00
    20  2.281337413E-01  1.000075940E+01  4.84E-03  1.76E-01  1.90E-04  2.55E+00  1.31E+01
    30  3.502620115E-01  1.000000321E+01  1.34E-04  1.76E-01  4.26E-06  3.15E+00  2.03E+01
    40  2.802151592E-01  1.000000002E+01  9.04E-07  1.76E-01  2.47E-08  3.66E+00  1.81E+01
    50  1.414340534E-01  1.000000000E+01  8.62E-09  1.76E-01  2.09E-10  4.12E+00  1.81E+01
    60  1.414213562E-01  1.000000000E+01  6.05E-13  1.76E-01  1.34E-14  4.50E+00  1.81E+01
    66  1.414213562E-01  1.000000000E+01  1.14E-14  1.76E-01  2.42E-16  4.72E+00  1.81E+01

 Exit  LSMR.       istop  = 2               itn    =      66
 Exit  LSMR.       normA  = 4.71503E+00     condA  = 1.81487E+01
 Exit  LSMR.       normb  = 5.68748E+01     normx  = 8.22618E+01
 Exit  LSMR.       normr  = 1.00000E+01     normAr = 1.14189E-14
 Exit  LSMR.       The least-squares solution is good enough, given atol


 Enter xcheck.     Does x solve Ax = b, etc?
    damp            = 0.000E+00
    norm(x)         = 8.226E+01
    norm(r)         = 1.00000000E+01 = rho1
    norm(A'r)       = 2.299E-14      = sigma1

    inform          = 2
    tol             = 1.490E-08
    test1           = 2.248E-02 (Ax = b)
    test2           = 4.877E-16 (least-squares)
    test3           = 4.877E-16 (damped least-squares)

 Solution  abs(x):
     1  0.141421         2  0.282843         3  0.424264         4  0.565685    
     5  0.707107         6  0.848528         7  0.989949         8   1.13137    

 LSMR  appears to be successful.
 Relative error in  x  =  1.49E-12


 --------------------------------------------------------------------
 Least-Squares Test Problem      P(  200  100    4    3    1.00E-03 )
 Condition no. =  9.9796E+02     Residual function =  1.000000246E+01
 --------------------------------------------------------------------


 Enter Acheck.
 Aprod1, Aprod2 seem OK.  Relative error =   6.4E-16


 Enter LSMR.       Least-squares solution of  Ax = b
 The matrix  A  has    200 rows   and    100 columns
 damp   =  1.00000004749745E-03
 atol   =  3.18E-16               conlim =  9.98E+05
 btol   =  3.18E-16               itnlim =      1400
 localSize (no. of vectors for local reorthogonalization) =      0

   Itn   abs(x(1))          norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
     0  0.000000000E+00  0.000000000E+00  5.12E+01  4.09E+01  1.00E+00  1.56E-02
     1  2.788981913E+00  2.273539190E+01  1.16E+01  4.44E-01  5.72E-01  8.88E-01  1.13E+00
     2  1.180133418E+00  1.534276508E+01  4.97E+00  3.00E-01  2.76E-01  1.17E+00  1.44E+00
     3  3.236924376E-01  1.255834159E+01  2.57E+00  2.45E-01  1.48E-01  1.38E+00  1.73E+00
     4  1.048113433E+00  1.133889180E+01  1.47E+00  2.21E-01  8.43E-02  1.54E+00  2.01E+00
     5  1.157849268E+00  1.074814754E+01  8.97E-01  2.10E-01  5.03E-02  1.66E+00  2.32E+00
     6  8.994865450E-01  1.043832361E+01  5.71E-01  2.04E-01  3.11E-02  1.76E+00  2.67E+00
     7  4.572079169E-01  1.026524779E+01  3.73E-01  2.00E-01  1.98E-02  1.83E+00  3.08E+00
     8  4.825522058E-02  1.016372033E+01  2.47E-01  1.98E-01  1.29E-02  1.89E+00  3.57E+00
     9  5.393859299E-01  1.010197179E+01  1.65E-01  1.97E-01  8.44E-03  1.93E+00  4.17E+00
    10  9.654716247E-01  1.006348686E+01  1.10E-01  1.97E-01  5.55E-03  1.96E+00  4.92E+00
    20  7.455279116E-01  1.000130010E+01  3.09E-03  1.95E-01  1.27E-04  2.44E+00  1.96E+01
    30  2.059421896E-01  1.000037817E+01  1.91E-04  1.95E-01  6.42E-06  2.98E+00  9.11E+01
    40  3.842415408E-01  1.000034173E+01  8.17E-06  1.95E-01  2.33E-07  3.51E+00  8.14E+01
    50  2.907173387E-01  1.000034087E+01  1.19E-06  1.95E-01  3.05E-08  3.92E+00  3.25E+02
    60  1.616857843E-01  1.000034081E+01  6.01E-08  1.95E-01  1.41E-09  4.26E+00  9.19E+01
    70  1.426108078E-01  1.000034081E+01  1.29E-08  1.95E-01  2.83E-10  4.55E+00  9.19E+01
    80  1.414213539E-01  1.000034081E+01  6.51E-12  1.95E-01  1.34E-13  4.85E+00  9.19E+01
    86  1.414213561E-01  1.000034081E+01  6.36E-15  1.95E-01  1.25E-16  5.09E+00  9.19E+01

 Exit  LSMR.       istop  = 3               itn    =      86
 Exit  LSMR.       normA  = 5.09162E+00     condA  = 9.18786E+01
 Exit  LSMR.       normb  = 5.12085E+01     normx  = 8.22618E+01
 Exit  LSMR.       normr  = 1.00003E+01     normAr = 6.36274E-15
 Exit  LSMR.       The estimate of cond(Abar) has exceeded conlim       


 Enter xcheck.     Does x solve Ax = b, etc?
    damp            = 1.000E-03
    norm(x)         = 8.226E+01
    norm(r)         = 1.00000025E+01 = rho1
    norm(A'r)       = 8.226E-05      = sigma1

    norm(s)         = 1.000E+04
    norm(x,s)       = 1.000E+04
    norm(rbar)      = 1.00003408E+01 = rho2
    norm(Abar'rbar) = 2.421E-14      = sigma2

    inform          = 3
    tol             = 1.490E-08
    test1           = 2.127E-02 (Ax = b)
    test2           = 1.616E-06 (least-squares)
    test3           = 4.755E-16 (damped least-squares)

 Solution  abs(x):
     1  0.141421         2  0.282843         3  0.424264         4  0.565685    
     5  0.707107         6  0.848528         7  0.989949         8   1.13137    

 LSMR  appears to be successful.
 Relative error in  x  =  3.30E-12


 --------------------------------------------------------------------
 Least-Squares Test Problem      P(  200  100    4    4    1.00E-04 )
 Condition no. =  9.9967E+03     Residual function =  1.000000012E+01
 --------------------------------------------------------------------


 Enter Acheck.
 Aprod1, Aprod2 seem OK.  Relative error =   8.5E-16


 Enter LSMR.       Least-squares solution of  Ax = b
 The matrix  A  has    200 rows   and    100 columns
 damp   =  9.99999974737875E-05
 atol   =  3.18E-16               conlim =  1.00E+07
 btol   =  3.18E-16               itnlim =      1400
 localSize (no. of vectors for local reorthogonalization) =      0

   Itn   abs(x(1))          norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
     0  0.000000000E+00  0.000000000E+00  4.73E+01  3.76E+01  1.00E+00  1.68E-02
     1  3.108208348E+00  2.205450854E+01  1.08E+01  4.67E-01  5.47E-01  8.96E-01  1.12E+00
     2  2.178084378E+00  1.527684223E+01  4.68E+00  3.23E-01  2.60E-01  1.18E+00  1.46E+00
     3  6.919542723E-01  1.259643827E+01  2.40E+00  2.67E-01  1.40E-01  1.37E+00  1.80E+00
     4  4.904917731E-01  1.136410616E+01  1.35E+00  2.40E-01  7.89E-02  1.51E+00  2.17E+00
     5  1.206867362E+00  1.074643249E+01  7.97E-01  2.27E-01  4.61E-02  1.61E+00  2.59E+00
     6  1.490559983E+00  1.041825025E+01  4.82E-01  2.20E-01  2.76E-02  1.68E+00  3.11E+00
     7  1.422974129E+00  1.023682913E+01  2.95E-01  2.17E-01  1.66E-02  1.73E+00  3.75E+00
     8  1.092954724E+00  1.013405128E+01  1.80E-01  2.14E-01  1.00E-02  1.76E+00  4.58E+00
     9  5.884750086E-01  1.007515329E+01  1.08E-01  2.13E-01  6.02E-03  1.79E+00  5.67E+00
    10  3.779782320E-03  1.004139415E+01  6.41E-02  2.12E-01  3.54E-03  1.80E+00  7.11E+00
    20  1.477274464E+00  1.000048039E+01  1.20E-03  2.12E-01  4.94E-05  2.43E+00  2.51E+01
    30  4.868146497E-01  1.000003056E+01  1.28E-04  2.12E-01  4.45E-06  2.88E+00  9.13E+01
    40  1.341493419E-01  1.000000574E+01  1.00E-05  2.12E-01  2.98E-07  3.36E+00  5.48E+02
    50  3.496850390E-01  1.000000376E+01  1.46E-06  2.12E-01  3.89E-08  3.76E+00  7.00E+02
    60  4.047831909E-01  1.000000352E+01  1.31E-07  2.12E-01  3.15E-09  4.15E+00  6.63E+02
    70  3.170490834E-01  1.000000350E+01  1.38E-08  2.12E-01  3.09E-10  4.46E+00  2.17E+02
    80  3.169910716E-01  1.000000350E+01  1.36E-08  2.12E-01  2.87E-10  4.72E+00  2.77E+03
    90  1.575136347E-01  1.000000350E+01  4.63E-10  2.12E-01  9.30E-12  4.98E+00  2.17E+02
   100  1.564494489E-01  1.000000350E+01  4.10E-10  2.12E-01  7.79E-12  5.26E+00  1.28E+03
   110  1.414224878E-01  1.000000350E+01  3.56E-12  2.12E-01  6.44E-14  5.52E+00  1.28E+03

   Itn   abs(x(1))          norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
   120  1.414213577E-01  1.000000350E+01  1.40E-13  2.12E-01  2.42E-15  5.78E+00  1.28E+03
   127  1.414213567E-01  1.000000350E+01  1.90E-14  2.12E-01  3.19E-16  5.96E+00  1.28E+03
   128  1.414213567E-01  1.000000350E+01  1.58E-14  2.12E-01  2.64E-16  5.98E+00  1.28E+03

 Exit  LSMR.       istop  = 3               itn    =     128
 Exit  LSMR.       normA  = 5.97545E+00     condA  = 1.27672E+03
 Exit  LSMR.       normb  = 4.72615E+01     normx  = 8.22618E+01
 Exit  LSMR.       normr  = 1.00000E+01     normAr = 1.57586E-14
 Exit  LSMR.       The estimate of cond(Abar) has exceeded conlim       


 Enter xcheck.     Does x solve Ax = b, etc?
    damp            = 1.000E-04
    norm(x)         = 8.226E+01
    norm(r)         = 1.00000001E+01 = rho1
    norm(A'r)       = 8.226E-07      = sigma1

    norm(s)         = 1.000E+05
    norm(x,s)       = 1.000E+05
    norm(rbar)      = 1.00000035E+01 = rho2
    norm(Abar'rbar) = 2.581E-14      = sigma2

    inform          = 2
    tol             = 1.490E-08
    test1           = 1.856E-02 (Ax = b)
    test2           = 1.377E-08 (least-squares)
    test3           = 4.319E-16 (damped least-squares)

 Solution  abs(x):
     1  0.141421         2  0.282843         3  0.424264         4  0.565685    
     5  0.707107         6  0.848528         7  0.989949         8   1.13137    

 LSMR  appears to be successful.
 Relative error in  x  =  1.76E-10


 --------------------------------------------------------------------
 Least-Squares Test Problem      P(  200  100    4    5    1.00E-05 )
 Condition no. =  9.9995E+04     Residual function =  1.000000001E+01
 --------------------------------------------------------------------


 Enter Acheck.
 Aprod1, Aprod2 seem OK.  Relative error =   7.4E-16


 Enter LSMR.       Least-squares solution of  Ax = b
 The matrix  A  has    200 rows   and    100 columns
 damp   =  9.99999974737875E-06
 atol   =  3.18E-16               conlim =  1.00E+08
 btol   =  3.18E-16               itnlim =      1400
 localSize (no. of vectors for local reorthogonalization) =      0

   Itn   abs(x(1))          norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
     0  0.000000000E+00  0.000000000E+00  4.43E+01  3.53E+01  1.00E+00  1.79E-02
     1  3.244104717E+00  2.129719962E+01  1.01E+01  4.80E-01  5.27E-01  9.04E-01  1.11E+00
     2  2.888398798E+00  1.498511881E+01  4.34E+00  3.38E-01  2.46E-01  1.18E+00  1.48E+00
     3  1.660235027E+00  1.244000952E+01  2.17E+00  2.81E-01  1.29E-01  1.35E+00  1.88E+00
     4  3.733082486E-01  1.125261126E+01  1.17E+00  2.54E-01  7.09E-02  1.47E+00  2.35E+00
     5  6.775466613E-01  1.065655269E+01  6.58E-01  2.40E-01  3.98E-02  1.55E+00  2.93E+00
     6  1.381093122E+00  1.034529515E+01  3.72E-01  2.33E-01  2.24E-02  1.60E+00  3.68E+00
     7  1.705061074E+00  1.017989343E+01  2.09E-01  2.30E-01  1.25E-02  1.63E+00  4.68E+00
     8  1.663647308E+00  1.009193478E+01  1.15E-01  2.28E-01  6.90E-03  1.65E+00  6.04E+00
     9  1.308513090E+00  1.004573543E+01  6.19E-02  2.27E-01  3.70E-03  1.66E+00  7.92E+00
    10  7.242400761E-01  1.002200884E+01  3.21E-02  2.26E-01  1.92E-03  1.67E+00  1.06E+01
    20  1.793361126E+00  1.000026406E+01  5.69E-04  2.26E-01  2.49E-05  2.28E+00  4.25E+01
    30  1.216551399E+00  1.000001729E+01  5.54E-05  2.26E-01  2.00E-06  2.77E+00  1.22E+02
    40  3.251530373E-01  1.000000098E+01  3.20E-06  2.26E-01  9.93E-08  3.22E+00  1.31E+02
    50  9.171400257E-02  1.000000015E+01  4.63E-07  2.26E-01  1.26E-08  3.69E+00  3.03E+03
    60  3.424488538E-01  1.000000005E+01  4.13E-08  2.26E-01  1.03E-09  4.02E+00  1.65E+02
    70  4.041357423E-01  1.000000004E+01  1.45E-08  2.26E-01  3.34E-10  4.34E+00  1.46E+02
    80  4.127268759E-01  1.000000004E+01  1.91E-09  2.26E-01  4.15E-11  4.61E+00  4.43E+02
    90  3.776440896E-01  1.000000004E+01  1.43E-09  2.26E-01  2.93E-11  4.89E+00  1.46E+02
   100  3.330050250E-01  1.000000004E+01  1.43E-10  2.26E-01  2.78E-12  5.15E+00  1.60E+02
   110  3.329930818E-01  1.000000004E+01  1.43E-10  2.26E-01  2.65E-12  5.40E+00  9.45E+03

   Itn   abs(x(1))          norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
   120  3.298544403E-01  1.000000004E+01  1.42E-10  2.26E-01  2.52E-12  5.62E+00  1.79E+02
   130  1.532810595E-01  1.000000004E+01  5.85E-12  2.26E-01  9.91E-14  5.90E+00  2.29E+02
   140  1.530632502E-01  1.000000004E+01  3.09E-12  2.26E-01  5.05E-14  6.11E+00  7.05E+04
   150  1.449159703E-01  1.000000004E+01  1.69E-12  2.26E-01  2.67E-14  6.33E+00  2.29E+02
   160  1.445297577E-01  1.000000004E+01  1.60E-12  2.26E-01  2.44E-14  6.54E+00  9.18E+02
   169  1.414216099E-01  1.000000004E+01  7.40E-15  2.26E-01  1.10E-16  6.73E+00  2.29E+02

 Exit  LSMR.       istop  = 3               itn    =     169
 Exit  LSMR.       normA  = 6.72884E+00     condA  = 2.29490E+02
 Exit  LSMR.       normb  = 4.43455E+01     normx  = 8.22618E+01
 Exit  LSMR.       normr  = 1.00000E+01     normAr = 7.40194E-15
 Exit  LSMR.       The estimate of cond(Abar) has exceeded conlim       


 Enter xcheck.     Does x solve Ax = b, etc?
    damp            = 1.000E-05
    norm(x)         = 8.226E+01
    norm(r)         = 1.00000000E+01 = rho1
    norm(A'r)       = 8.226E-09      = sigma1

    norm(s)         = 1.000E+06
    norm(x,s)       = 1.000E+06
    norm(rbar)      = 1.00000000E+01 = rho2
    norm(Abar'rbar) = 2.966E-14      = sigma2

    inform          = 2
    tol             = 1.490E-08
    test1           = 1.673E-02 (Ax = b)
    test2           = 1.223E-10 (least-squares)
    test3           = 4.409E-16 (damped least-squares)

 Solution  abs(x):
     1  0.141422         2  0.282843         3  0.424264         4  0.565685    
     5  0.707107         6  0.848528         7  0.989949         8   1.13137    

 LSMR  appears to be successful.
 Relative error in  x  =  1.10E-08


 --------------------------------------------------------------------
 Least-Squares Test Problem      P(  200  100    4    6    1.00E-06 )
 Condition no. =  9.9999E+05     Residual function =  1.000000000E+01
 --------------------------------------------------------------------


 Enter Acheck.
 Aprod1, Aprod2 seem OK.  Relative error =   8.8E-16


 Enter LSMR.       Least-squares solution of  Ax = b
 The matrix  A  has    200 rows   and    100 columns
 damp   =  9.99999997475243E-07
 atol   =  3.18E-16               conlim =  1.00E+09
 btol   =  3.18E-16               itnlim =      1400
 localSize (no. of vectors for local reorthogonalization) =      0

   Itn   abs(x(1))          norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
     0  0.000000000E+00  0.000000000E+00  4.21E+01  3.37E+01  1.00E+00  1.90E-02
     1  3.269689928E+00  2.057121855E+01  9.57E+00  4.89E-01  5.09E-01  9.13E-01  1.10E+00
     2  3.345691219E+00  1.461010329E+01  3.98E+00  3.47E-01  2.32E-01  1.18E+00  1.51E+00
     3  2.409232335E+00  1.219784929E+01  1.92E+00  2.90E-01  1.18E-01  1.34E+00  1.97E+00
     4  1.169858232E+00  1.108095528E+01  9.85E-01  2.63E-01  6.18E-02  1.44E+00  2.56E+00
     5  3.915066017E-02  1.053345121E+01  5.15E-01  2.50E-01  3.27E-02  1.50E+00  3.35E+00
     6  1.022890184E+00  1.025960830E+01  2.69E-01  2.44E-01  1.71E-02  1.53E+00  4.42E+00
     7  1.659413095E+00  1.012307842E+01  1.37E-01  2.40E-01  8.74E-03  1.55E+00  5.92E+00
     8  1.887733734E+00  1.005634447E+01  6.78E-02  2.39E-01  4.32E-03  1.56E+00  8.08E+00
     9  1.710751632E+00  1.002474727E+01  3.23E-02  2.38E-01  2.06E-03  1.57E+00  1.13E+01
    10  1.195090723E+00  1.001037612E+01  1.46E-02  2.38E-01  9.33E-04  1.57E+00  1.60E+01
    20  1.594957394E+00  1.000017754E+01  3.42E-04  2.38E-01  1.56E-05  2.19E+00  1.31E+02
    30  1.617086975E+00  1.000000657E+01  2.35E-05  2.38E-01  8.26E-07  2.85E+00  1.60E+02
    40  9.231545033E-01  1.000000050E+01  1.41E-06  2.38E-01  4.39E-08  3.21E+00  3.98E+02
    50  3.811921958E-01  1.000000006E+01  2.05E-07  2.38E-01  5.75E-09  3.56E+00  6.53E+02
    60  6.563891234E-02  1.000000001E+01  2.53E-08  2.38E-01  6.51E-10  3.88E+00  6.53E+02
    70  2.841397705E-01  1.000000000E+01  9.03E-09  2.38E-01  2.13E-10  4.24E+00  6.53E+02
    80  3.383423793E-01  1.000000000E+01  1.11E-09  2.38E-01  2.43E-11  4.56E+00  6.53E+02
    90  3.437355937E-01  1.000000000E+01  1.07E-09  2.38E-01  2.21E-11  4.84E+00  8.15E+02
   100  4.160118208E-01  1.000000000E+01  2.74E-11  2.38E-01  5.40E-13  5.07E+00  6.53E+02
   110  4.160114519E-01  1.000000000E+01  2.73E-11  2.38E-01  5.16E-13  5.29E+00  6.06E+03

   Itn   abs(x(1))          norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
   120  4.159960040E-01  1.000000000E+01  2.73E-11  2.38E-01  4.90E-13  5.58E+00  7.72E+02
   130  3.937788090E-01  1.000000000E+01  2.28E-11  2.38E-01  3.92E-13  5.81E+00  7.72E+02
   140  3.435629392E-01  1.000000000E+01  1.47E-12  2.38E-01  2.44E-14  6.00E+00  7.72E+02
   150  3.435601747E-01  1.000000000E+01  1.47E-12  2.38E-01  2.37E-14  6.20E+00  1.68E+04
   160  3.435557275E-01  1.000000000E+01  1.47E-12  2.38E-01  2.30E-14  6.37E+00  2.53E+03
   170  1.559965945E-01  1.000000000E+01  2.69E-13  2.38E-01  4.06E-15  6.64E+00  1.67E+03
   180  1.499412800E-01  1.000000000E+01  7.31E-14  2.38E-01  1.07E-15  6.81E+00  1.67E+03
   190  1.495380299E-01  1.000000000E+01  2.95E-14  2.38E-01  4.21E-16  7.01E+00  3.75E+03
   198  1.495037908E-01  1.000000000E+01  2.25E-14  2.38E-01  3.15E-16  7.15E+00  1.67E+03

 Exit  LSMR.       istop  = 3               itn    =     198
 Exit  LSMR.       normA  = 7.14619E+00     condA  = 1.67022E+03
 Exit  LSMR.       normb  = 4.21016E+01     normx  = 8.22618E+01
 Exit  LSMR.       normr  = 1.00000E+01     normAr = 2.25409E-14
 Exit  LSMR.       The estimate of cond(Abar) has exceeded conlim       


 Enter xcheck.     Does x solve Ax = b, etc?
    damp            = 1.000E-06
    norm(x)         = 8.226E+01
    norm(r)         = 1.00000000E+01 = rho1
    norm(A'r)       = 8.225E-11      = sigma1

    norm(s)         = 1.000E+07
    norm(x,s)       = 1.000E+07
    norm(rbar)      = 1.00000000E+01 = rho2
    norm(Abar'rbar) = 3.881E-14      = sigma2

    inform          = 2
    tol             = 1.490E-08
    test1           = 1.587E-02 (Ax = b)
    test2           = 1.151E-12 (least-squares)
    test3           = 5.431E-16 (damped least-squares)

 Solution  abs(x):
     1  0.149504         2  0.282811         3  0.415861         4  0.548645    
     5  0.708844         6  0.850760         7  0.992584         8   1.13446    

 LSMR  appears to be successful.
 Relative error in  x  =  2.57E-04


 --------------------------------------------------------------------
 Least-Squares Test Problem      P(  200  100    4    6    1.00E-06 )
 Condition no. =  9.9999E+05     Residual function =  1.000000000E+01
 --------------------------------------------------------------------


 Enter Acheck.
 Aprod1, Aprod2 seem OK.  Relative error =   8.8E-16


 Enter LSMR.       Least-squares solution of  Ax = b
 The matrix  A  has    200 rows   and    100 columns
 damp   =  9.99999997475243E-07
 atol   =  3.18E-16               conlim =  1.00E+09
 btol   =  3.18E-16               itnlim =      1400
 localSize (no. of vectors for local reorthogonalization) =     10

   Itn   abs(x(1))          norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
     0  0.000000000E+00  0.000000000E+00  4.21E+01  3.37E+01  1.00E+00  1.90E-02
     1  3.269689928E+00  2.057121855E+01  9.57E+00  4.89E-01  5.09E-01  9.13E-01  1.10E+00
     2  3.345691219E+00  1.461010329E+01  3.98E+00  3.47E-01  2.32E-01  1.18E+00  1.51E+00
     3  2.409232335E+00  1.219784929E+01  1.92E+00  2.90E-01  1.18E-01  1.34E+00  1.97E+00
     4  1.169858232E+00  1.108095528E+01  9.85E-01  2.63E-01  6.18E-02  1.44E+00  2.56E+00
     5  3.915066017E-02  1.053345121E+01  5.15E-01  2.50E-01  3.27E-02  1.50E+00  3.35E+00
     6  1.022890184E+00  1.025960830E+01  2.69E-01  2.44E-01  1.71E-02  1.53E+00  4.42E+00
     7  1.659413095E+00  1.012307842E+01  1.37E-01  2.40E-01  8.74E-03  1.55E+00  5.92E+00
     8  1.887733734E+00  1.005634447E+01  6.78E-02  2.39E-01  4.32E-03  1.56E+00  8.08E+00
     9  1.710784524E+00  1.002474944E+01  3.23E-02  2.38E-01  2.06E-03  1.57E+00  1.13E+01
    10  1.705659562E+00  1.002451248E+01  3.21E-02  2.38E-01  2.04E-03  1.57E+00  1.49E+01
    20  3.169938734E-01  9.999596631E+00  7.22E-04  2.38E-01  2.65E-05  2.73E+00  9.90E+00
    30  3.158100654E-01  9.999596332E+00  1.70E-04  2.38E-01  2.98E-06  5.72E+00  2.15E+01
    40  3.157570877E-01  9.999596229E+00  1.60E-04  2.38E-01  5.14E-08  3.12E+02  2.18E+03
    50  3.148367449E-01  9.999595335E+00  1.05E-04  2.38E-01  3.37E-08  3.12E+02  2.18E+03
    60  3.146785063E-01  9.999595247E+00  9.61E-05  2.38E-01  3.08E-08  3.13E+02  2.18E+03
    70  3.145824170E-01  9.999595221E+00  9.47E-05  2.38E-01  1.70E-08  5.55E+02  3.08E+03
    80  3.132244829E-01  9.999594914E+00  8.09E-05  2.38E-01  1.46E-08  5.55E+02  3.08E+03
    90  3.116305247E-01  9.999594632E+00  6.59E-05  2.38E-01  1.19E-08  5.55E+02  3.08E+03
   100  3.113478990E-01  9.999594584E+00  6.33E-05  2.38E-01  1.14E-08  5.56E+02  3.17E+03
   110  3.101594840E-01  9.999594331E+00  5.18E-05  2.38E-01  9.32E-09  5.56E+02  3.08E+03

   Itn   abs(x(1))          norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
   120  3.096296853E-01  9.999594239E+00  4.62E-05  2.38E-01  8.13E-09  5.68E+02  3.08E+03
   130  3.095070053E-01  9.999594213E+00  4.50E-05  2.38E-01  7.91E-09  5.69E+02  4.46E+03
   140  3.094755154E-01  9.999594204E+00  4.47E-05  2.38E-01  4.76E-09  9.39E+02  7.62E+03
   150  3.094717462E-01  9.999594202E+00  4.47E-05  2.38E-01  3.63E-09  1.23E+03  7.03E+03
   160  3.094479518E-01  9.999594180E+00  4.44E-05  2.38E-01  3.60E-09  1.23E+03  7.90E+03
   170  3.093996603E-01  9.999594113E+00  4.36E-05  2.38E-01  6.49E-10  6.72E+03  4.61E+04
   180  3.093970396E-01  9.999594108E+00  4.36E-05  2.38E-01  1.91E-10  2.28E+04  1.53E+05
   190  3.093968872E-01  9.999594105E+00  4.36E-05  2.38E-01  1.89E-10  2.30E+04  1.58E+05
   200  3.094071861E-01  9.999594079E+00  4.33E-05  2.38E-01  1.73E-10  2.51E+04  1.85E+05
   210  3.095169544E-01  9.999593888E+00  4.17E-05  2.38E-01  1.66E-10  2.51E+04  1.78E+05
   220  3.095218675E-01  9.999593883E+00  4.16E-05  2.38E-01  1.39E-10  2.99E+04  1.54E+05
   230  3.095348478E-01  9.999593869E+00  4.15E-05  2.38E-01  1.38E-10  3.00E+04  1.90E+05
   240  3.095428427E-01  9.999593861E+00  4.15E-05  2.38E-01  1.38E-10  3.00E+04  1.85E+05
   250  3.095466377E-01  9.999593858E+00  4.15E-05  2.38E-01  1.92E-13  2.16E+07  1.65E+08
   260  3.095779651E-01  9.999593835E+00  4.13E-05  2.38E-01  1.91E-13  2.16E+07  1.92E+08
   270  3.095898584E-01  9.999593826E+00  4.13E-05  2.38E-01  1.91E-13  2.16E+07  2.34E+08
   280  3.096175380E-01  9.999593805E+00  4.12E-05  2.38E-01  1.91E-13  2.16E+07  2.61E+08
   290  3.096244143E-01  9.999593800E+00  4.12E-05  2.38E-01  1.91E-13  2.16E+07  1.72E+08
   300  3.096431112E-01  9.999593786E+00  4.11E-05  2.38E-01  1.90E-13  2.16E+07  1.81E+08
   310  3.104481621E-01  9.999593220E+00  3.85E-05  2.38E-01  1.78E-13  2.16E+07  1.53E+08

   Itn   abs(x(1))          norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
   320  3.108674559E-01  9.999592924E+00  3.70E-05  2.38E-01  1.71E-13  2.16E+07  2.24E+08
   330  3.109464871E-01  9.999592832E+00  3.65E-05  2.38E-01  1.69E-13  2.16E+07  2.46E+08
   340  3.109414433E-01  9.999592767E+00  3.62E-05  2.38E-01  1.68E-13  2.16E+07  2.63E+08
   350  3.107770976E-01  9.999592662E+00  3.57E-05  2.38E-01  1.65E-13  2.16E+07  2.29E+08
   360  3.101139416E-01  9.999592359E+00  3.43E-05  2.38E-01  1.59E-13  2.16E+07  1.51E+08
   370  3.100407375E-01  9.999592330E+00  3.42E-05  2.38E-01  1.58E-13  2.16E+07  1.77E+08
   380  3.100233734E-01  9.999592323E+00  3.42E-05  2.38E-01  1.29E-13  2.65E+07  1.89E+08
   390  3.097009603E-01  9.999592215E+00  3.37E-05  2.38E-01  1.27E-13  2.65E+07  2.48E+08
   400  3.074933589E-01  9.999591552E+00  3.05E-05  2.38E-01  1.15E-13  2.65E+07  1.51E+08
   410  3.045500763E-01  9.999590801E+00  2.50E-05  2.38E-01  9.43E-14  2.65E+07  1.51E+08
   420  3.013676043E-01  9.999590255E+00  1.48E-05  2.38E-01  5.60E-14  2.65E+07  1.51E+08
   430  3.009641727E-01  9.999590227E+00  1.34E-05  2.38E-01  5.05E-14  2.65E+07  1.51E+08
   440  3.003110729E-01  9.999590195E+00  1.09E-05  2.38E-01  4.13E-14  2.65E+07  1.51E+08
   450  3.001093263E-01  9.999590188E+00  1.01E-05  2.38E-01  3.83E-14  2.65E+07  1.51E+08
   460  3.000386857E-01  9.999590186E+00  9.91E-06  2.38E-01  3.74E-14  2.65E+07  1.51E+08
   470  2.997071198E-01  9.999590178E+00  8.78E-06  2.38E-01  3.32E-14  2.65E+07  1.51E+08
   480  2.994788468E-01  9.999590174E+00  7.99E-06  2.38E-01  3.02E-14  2.65E+07  1.51E+08
   490  2.992622077E-01  9.999590170E+00  7.18E-06  2.38E-01  2.71E-14  2.65E+07  1.51E+08
   500  2.992504718E-01  9.999590170E+00  7.15E-06  2.38E-01  2.70E-14  2.65E+07  1.51E+08
   510  2.992321888E-01  9.999590170E+00  7.10E-06  2.38E-01  2.68E-14  2.65E+07  1.95E+08

   Itn   abs(x(1))          norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
   520  2.992220362E-01  9.999590170E+00  7.09E-06  2.38E-01  2.68E-14  2.65E+07  2.18E+08
   530  2.992106344E-01  9.999590170E+00  7.08E-06  2.38E-01  2.67E-14  2.65E+07  2.80E+08
   540  2.991789254E-01  9.999590169E+00  7.06E-06  2.38E-01  2.67E-14  2.65E+07  2.48E+08
   550  2.991347642E-01  9.999590169E+00  7.03E-06  2.38E-01  2.66E-14  2.65E+07  2.38E+08
   560  2.990120125E-01  9.999590167E+00  6.98E-06  2.38E-01  2.63E-14  2.66E+07  2.37E+08
   570  2.989742141E-01  9.999590167E+00  6.97E-06  2.38E-01  2.62E-14  2.66E+07  2.71E+08
   580  2.989710421E-01  9.999590167E+00  6.97E-06  2.38E-01  7.31E-15  9.54E+07  9.74E+08
   581  2.989530408E-01  9.999590167E+00  6.96E-06  2.38E-01  7.30E-15  9.54E+07  1.04E+09

 Exit  LSMR.       istop  = 3               itn    =     581
 Exit  LSMR.       normA  = 9.53623E+07     condA  = 1.03933E+09
 Exit  LSMR.       normb  = 4.21016E+01     normx  = 7.66019E+01
 Exit  LSMR.       normr  = 9.99959E+00     normAr = 6.96355E-06
 Exit  LSMR.       The estimate of cond(Abar) has exceeded conlim       


 Enter xcheck.     Does x solve Ax = b, etc?
    damp            = 1.000E-06
    norm(x)         = 7.660E+01
    norm(r)         = 1.00144766E+01 = rho1
    norm(A'r)       = 2.486E-01      = sigma1

    norm(s)         = 1.001E+07
    norm(x,s)       = 1.001E+07
    norm(rbar)      = 1.00144766E+01 = rho2
    norm(Abar'rbar) = 2.486E-01      = sigma2

    inform          = 1
    tol             = 1.490E-08
    test1           = 1.371E-09 (Ax = b)
    test2           = 2.603E-10 (least-squares)
    test3           = 2.603E-10 (damped least-squares)

 Solution  abs(x):
     1  0.298953         2  0.291862         3  0.280169         4  0.264057    
     5  0.243780         6  0.219660         7  0.192074         8  0.161460    

 LSMR  appears to be successful.
 Relative error in  x  =  3.41E-01


 --------------------------------------------------------------------
 Least-Squares Test Problem      P(  100  100    4    2    0.00E+00 )
 Condition no. =  6.2500E+02     Residual function =  0.000000000E+00
 --------------------------------------------------------------------


 Enter Acheck.
 Aprod1, Aprod2 seem OK.  Relative error =   4.3E-16


 Enter LSMR.       Least-squares solution of  Ax = b
 The matrix  A  has    100 rows   and    100 columns
 damp   =  0.00000000000000E+00
 atol   =  3.18E-16               conlim =  6.25E+05
 btol   =  3.18E-16               itnlim =      1000
 localSize (no. of vectors for local reorthogonalization) =      0

   Itn   abs(x(1))           norm r         A'r    Compatible    LS      norm A    cond A
     0  0.000000000E+00  0.000000000E+00  5.60E+01  4.62E+01  1.00E+00  1.47E-02
     1  2.211758769E+00  2.065546288E+01  1.23E+01  3.69E-01  6.74E-01  8.85E-01  1.13E+00
     2  1.170776123E-01  1.097885240E+01  5.05E+00  1.96E-01  3.91E-01  1.18E+00  1.41E+00
     3  7.007029699E-01  6.883577629E+00  2.54E+00  1.23E-01  2.65E-01  1.39E+00  1.65E+00
     4  4.669049501E-01  4.755667912E+00  1.44E+00  8.49E-02  1.94E-01  1.56E+00  1.88E+00
     5  9.604571650E-02  3.493391309E+00  8.91E-01  6.24E-02  1.50E-01  1.70E+00  2.11E+00
     6  6.276423316E-01  2.671275852E+00  5.84E-01  4.77E-02  1.20E-01  1.83E+00  2.36E+00
     7  1.010511982E+00  2.098090178E+00  3.98E-01  3.75E-02  9.84E-02  1.93E+00  2.63E+00
     8  1.231255637E+00  1.677702546E+00  2.79E-01  3.00E-02  8.26E-02  2.02E+00  2.91E+00
     9  1.312888527E+00  1.357314630E+00  2.00E-01  2.42E-02  7.04E-02  2.09E+00  3.22E+00
    10  1.287225095E+00  1.105770977E+00  1.45E-01  1.97E-02  6.08E-02  2.15E+00  3.57E+00
    20  2.301740473E-01  1.227709185E-01  4.78E-03  2.19E-03  1.53E-02  2.55E+00  1.37E+01
    30  3.689450571E-01  1.510130942E-02  2.41E-04  2.70E-04  5.06E-03  3.15E+00  5.38E+01
    40  2.802146379E-01  5.627084322E-04  9.00E-07  1.01E-05  4.38E-04  3.66E+00  4.08E+01
    50  1.414227293E-01  2.339086151E-08  2.84E-09  4.18E-10  2.92E-02  4.15E+00  3.23E+01
    60  1.414213563E-01  1.811298988E-11  1.77E-12  3.24E-13  2.17E-02  4.50E+00  3.23E+01
    65  1.414213562E-01  5.175726107E-14  4.91E-15  9.24E-16  2.03E-02  4.67E+00  3.23E+01

 Exit  LSMR.       istop  = 1               itn    =      65
 Exit  LSMR.       normA  = 4.67153E+00     condA  = 3.22986E+01
 Exit  LSMR.       normb  = 5.59888E+01     normx  = 8.22618E+01
 Exit  LSMR.       normr  = 5.17573E-14     normAr = 4.91331E-15
 Exit  LSMR.       Ax - b is small enough, given atol, btol             


 Enter xcheck.     Does x solve Ax = b, etc?
    damp            = 0.000E+00
    norm(x)         = 8.226E+01
    norm(r)         = 5.81936004E-14 = rho1
    norm(A'r)       = 2.306E-14      = sigma1

    inform          = 1
    tol             = 1.490E-08
    test1           = 1.322E-16 (Ax = b)
    test2           = 8.482E-02 (least-squares)
    test3           = 8.482E-02 (damped least-squares)

 Solution  abs(x):
     1  0.141421         2  0.282843         3  0.424264         4  0.565685    
     5  0.707107         6  0.848528         7  0.989949         8   1.13137    

 LSMR  appears to be successful.
 Relative error in  x  =  2.53E-14


 --------------------------------------------------------------------
 Least-Squares Test Problem      P(  100  100    4    3    1.00E-09 )
 Condition no. =  1.5625E+04     Residual function =  7.021001467E-15
 --------------------------------------------------------------------


 Enter Acheck.
 Aprod1, Aprod2 seem OK.  Relative error =   5.8E-16


 Enter LSMR.       Least-squares solution of  Ax = b
 The matrix  A  has    100 rows   and    100 columns
 damp   =  9.99999971718069E-10
 atol   =  3.18E-16               conlim =  1.56E+07
 btol   =  3.18E-16               itnlim =      1000
 localSize (no. of vectors for local reorthogonalization) =      0

   Itn   abs(x(1))          norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
     0  0.000000000E+00  0.000000000E+00  5.02E+01  4.09E+01  1.00E+00  1.62E-02
     1  2.788984483E+00  2.041786315E+01  1.16E+01  4.07E-01  6.37E-01  8.88E-01  1.13E+00
     2  1.180139098E+00  1.163582602E+01  4.97E+00  2.32E-01  3.63E-01  1.17E+00  1.44E+00
     3  3.236888744E-01  7.596334893E+00  2.57E+00  1.51E-01  2.45E-01  1.38E+00  1.73E+00
     4  1.048116354E+00  5.344437449E+00  1.47E+00  1.06E-01  1.79E-01  1.54E+00  2.01E+00
     5  1.157859920E+00  3.938951112E+00  8.97E-01  7.84E-02  1.37E-01  1.66E+00  2.32E+00
     6  8.995028929E-01  2.991879463E+00  5.71E-01  5.96E-02  1.09E-01  1.76E+00  2.67E+00
     7  4.572248042E-01  2.316920269E+00  3.73E-01  4.61E-02  8.78E-02  1.83E+00  3.08E+00
     8  4.824619268E-02  1.814957722E+00  2.47E-01  3.61E-02  7.20E-02  1.89E+00  3.57E+00
     9  5.393969358E-01  1.429244767E+00  1.65E-01  2.85E-02  5.96E-02  1.93E+00  4.17E+00
    10  9.655195536E-01  1.125484247E+00  1.10E-01  2.24E-02  4.96E-02  1.96E+00  4.92E+00
    20  7.468475806E-01  1.383374292E-01  3.08E-03  2.75E-03  9.00E-03  2.48E+00  1.76E+01
    30  2.059331892E-01  2.706355058E-02  1.89E-04  5.39E-04  2.35E-03  2.98E+00  1.02E+02
    40  4.051353141E-01  3.833061815E-03  6.52E-06  7.63E-05  4.86E-04  3.50E+00  4.97E+01
    50  3.593223777E-01  6.865387043E-04  3.51E-07  1.37E-05  1.34E-04  3.81E+00  9.30E+01
    60  2.899618981E-01  2.409676781E-05  1.41E-08  4.80E-07  1.38E-04  4.23E+00  9.30E+01
    70  2.898507098E-01  2.407091260E-05  1.54E-09  4.79E-07  1.41E-05  4.55E+00  1.11E+03
    80  2.861376143E-01  2.346875597E-05  1.52E-09  4.67E-07  1.33E-05  4.86E+00  3.80E+02
    90  1.414216528E-01  8.226184021E-08  2.18E-12  1.64E-09  5.12E-06  5.16E+00  1.17E+02
   100  1.414213564E-01  8.226177578E-08  4.81E-14  1.64E-09  1.08E-07  5.43E+00  1.70E+02
   110  1.414213562E-01  8.226177495E-08  1.63E-16  1.64E-09  3.46E-10  5.74E+00  1.11E+02

   Itn   abs(x(1))          norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
   120  1.414213562E-01  8.226177495E-08  2.52E-17  1.64E-09  5.16E-11  5.95E+00  4.36E+02
   130  1.414213562E-01  8.226177495E-08  8.54E-20  1.64E-09  1.67E-13  6.21E+00  4.36E+02
   140  1.414213562E-01  8.226177495E-08  2.00E-22  1.64E-09  3.81E-16  6.39E+00  4.36E+02
   145  1.414213562E-01  8.226177495E-08  1.90E-22  1.64E-09  3.49E-16  6.60E+00  4.36E+02
   146  1.414213562E-01  8.226177495E-08  1.88E-22  1.64E-09  3.47E-16  6.60E+00  4.36E+02
   147  1.414213562E-01  8.226177495E-08  1.88E-22  1.64E-09  3.46E-16  6.61E+00  4.36E+02
   148  1.414213562E-01  8.226177495E-08  1.87E-22  1.64E-09  3.44E-16  6.63E+00  4.36E+02
   149  1.414213562E-01  8.226177495E-08  1.86E-22  1.64E-09  3.40E-16  6.64E+00  4.36E+02
   150  1.414213562E-01  8.226177495E-08  1.86E-22  1.64E-09  3.40E-16  6.64E+00  4.36E+02
   151  1.414213562E-01  8.226177495E-08  1.83E-22  1.64E-09  3.33E-16  6.67E+00  4.36E+02
   152  1.414213562E-01  8.226177495E-08  1.83E-22  1.64E-09  3.33E-16  6.68E+00  8.58E+02
   153  1.414213562E-01  8.226177495E-08  1.83E-22  1.64E-09  3.29E-16  6.74E+00  1.42E+03
   154  1.414213562E-01  8.226177495E-08  1.83E-22  1.64E-09  3.28E-16  6.76E+00  1.35E+04
   155  1.414213562E-01  8.226177495E-08  1.83E-22  1.64E-09  3.28E-16  6.77E+00  7.57E+03
   156  1.414213562E-01  8.226177495E-08  1.83E-22  1.64E-09  3.26E-16  6.81E+00  1.28E+03
   157  1.414213562E-01  8.226177495E-08  1.83E-22  1.64E-09  3.25E-16  6.83E+00  4.92E+02
   158  1.414213562E-01  8.226177495E-08  1.83E-22  1.64E-09  3.23E-16  6.87E+00  8.18E+02
   159  1.414213562E-01  8.226177495E-08  1.83E-22  1.64E-09  3.23E-16  6.87E+00  4.36E+02
   160  1.414213562E-01  8.226177495E-08  1.83E-22  1.64E-09  3.23E-16  6.88E+00  5.47E+02
   161  1.414213562E-01  8.226177495E-08  6.97E-23  1.64E-09  1.23E-16  6.90E+00  4.36E+02

 Exit  LSMR.       istop  = 3               itn    =     161
 Exit  LSMR.       normA  = 6.89777E+00     condA  = 4.35871E+02
 Exit  LSMR.       normb  = 5.02225E+01     normx  = 8.22618E+01
 Exit  LSMR.       normr  = 8.22618E-08     normAr = 6.96673E-23
 Exit  LSMR.       The estimate of cond(Abar) has exceeded conlim       


 Enter xcheck.     Does x solve Ax = b, etc?
    damp            = 1.000E-09
    norm(x)         = 8.226E+01
    norm(r)         = 3.28154958E-14 = rho1
    norm(A'r)       = 2.772E-14      = sigma1

    norm(s)         = 3.282E-05
    norm(x,s)       = 8.226E+01
    norm(rbar)      = 8.22617749E-08 = rho2
    norm(Abar'rbar) = 2.772E-14      = sigma2

    inform          = 1
    tol             = 1.490E-08
    test1           = 5.313E-17 (Ax = b)
    test2           = 1.225E-01 (least-squares)
    test3           = 4.886E-08 (damped least-squares)

 Solution  abs(x):
     1  0.141421         2  0.282843         3  0.424264         4  0.565685    
     5  0.707107         6  0.848528         7  0.989949         8   1.13137    

 LSMR  appears to be successful.
 Relative error in  x  =  1.29E-13


 --------------------------------------------------------------------
 Least-Squares Test Problem      P(  100  100    4    4    1.00E-10 )
 Condition no. =  3.9062E+05     Residual function =  1.547565696E-15
 --------------------------------------------------------------------


 Enter Acheck.
 Aprod1, Aprod2 seem OK.  Relative error =   6.5E-16


 Enter LSMR.       Least-squares solution of  Ax = b
 The matrix  A  has    100 rows   and    100 columns
 damp   =  1.00000001335143E-10
 atol   =  3.18E-16               conlim =  3.91E+08
 btol   =  3.18E-16               itnlim =      1000
 localSize (no. of vectors for local reorthogonalization) =      0

   Itn   abs(x(1))          norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
     0  0.000000000E+00  0.000000000E+00  4.62E+01  3.76E+01  1.00E+00  1.76E-02
     1  3.108208375E+00  1.965709157E+01  1.08E+01  4.26E-01  6.14E-01  8.96E-01  1.12E+00
     2  2.178084457E+00  1.154910475E+01  4.68E+00  2.50E-01  3.44E-01  1.18E+00  1.46E+00
     3  6.919543654E-01  7.659645785E+00  2.40E+00  1.66E-01  2.30E-01  1.37E+00  1.80E+00
     4  4.904917285E-01  5.398409736E+00  1.35E+00  1.17E-01  1.66E-01  1.51E+00  2.17E+00
     5  1.206867432E+00  3.935191485E+00  7.97E-01  8.52E-02  1.26E-01  1.61E+00  2.59E+00
     6  1.490560222E+00  2.922303951E+00  4.82E-01  6.33E-02  9.82E-02  1.68E+00  3.11E+00
     7  1.422974562E+00  2.189199365E+00  2.95E-01  4.74E-02  7.78E-02  1.73E+00  3.75E+00
     8  1.092955321E+00  1.642838844E+00  1.80E-01  3.56E-02  6.20E-02  1.76E+00  4.58E+00
     9  5.884756332E-01  1.228266516E+00  1.08E-01  2.66E-02  4.93E-02  1.79E+00  5.67E+00
    10  3.779456361E-03  9.107809583E-01  6.41E-02  1.97E-02  3.91E-02  1.80E+00  7.11E+00
    20  1.477339250E+00  9.765619845E-02  1.20E-03  2.11E-03  5.10E-03  2.41E+00  3.13E+01
    30  2.419597190E-01  1.599128612E-02  5.33E-05  3.46E-04  1.15E-03  2.89E+00  1.36E+02
    40  1.324403195E-01  6.718506339E-03  1.00E-05  1.45E-04  4.43E-04  3.36E+00  3.23E+02
    50  3.519111202E-01  2.206140095E-03  1.42E-06  4.78E-05  1.72E-04  3.75E+00  2.35E+02
    60  4.123445418E-01  5.247467877E-04  1.08E-07  1.14E-05  5.11E-05  4.03E+00  1.85E+03
    70  3.644125759E-01  5.885906804E-05  2.41E-09  1.27E-06  9.36E-06  4.38E+00  7.01E+02
    80  3.644112029E-01  5.885803846E-05  2.41E-09  1.27E-06  8.71E-06  4.70E+00  2.42E+04
    90  2.943270190E-01  2.232287014E-06  4.45E-10  4.83E-08  4.01E-05  4.97E+00  7.01E+02
   100  2.918532980E-01  9.758501122E-07  1.12E-11  2.11E-08  2.17E-06  5.26E+00  7.01E+02
   110  2.918515196E-01  9.758442976E-07  2.50E-12  2.11E-08  4.64E-07  5.52E+00  8.68E+04

   Itn   abs(x(1))          norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
   120  2.918505586E-01  9.758380641E-07  2.50E-12  2.11E-08  4.43E-07  5.78E+00  2.17E+04
   130  2.910953774E-01  9.709395341E-07  2.49E-12  2.10E-08  4.26E-07  6.03E+00  1.14E+03
   140  1.466047875E-01  3.462228216E-08  4.64E-13  7.50E-10  2.15E-06  6.23E+00  7.01E+02
   150  1.414213750E-01  8.226177928E-09  8.80E-16  1.78E-10  1.66E-08  6.46E+00  7.01E+02
   160  1.414213578E-01  8.226177926E-09  2.52E-16  1.78E-10  4.58E-09  6.68E+00  9.30E+02
   170  1.414213575E-01  8.226177895E-09  2.25E-16  1.78E-10  3.99E-09  6.86E+00  7.01E+02
   180  1.414213562E-01  8.226177837E-09  6.59E-20  1.78E-10  1.13E-12  7.06E+00  7.01E+02
   190  1.414213562E-01  8.226177837E-09  9.62E-21  1.78E-10  1.61E-13  7.25E+00  7.25E+02
   200  1.414213562E-01  8.226177837E-09  9.61E-21  1.78E-10  1.57E-13  7.43E+00  7.01E+02
   210  1.414213562E-01  8.226177837E-09  3.37E-24  1.78E-10  5.37E-17  7.63E+00  7.01E+02

 Exit  LSMR.       istop  = 3               itn    =     210
 Exit  LSMR.       normA  = 7.62506E+00     condA  = 7.01014E+02
 Exit  LSMR.       normb  = 4.61915E+01     normx  = 8.22618E+01
 Exit  LSMR.       normr  = 8.22618E-09     normAr = 3.36733E-24
 Exit  LSMR.       The estimate of cond(Abar) has exceeded conlim       


 Enter xcheck.     Does x solve Ax = b, etc?
    damp            = 1.000E-10
    norm(x)         = 8.226E+01
    norm(r)         = 3.45342413E-14 = rho1
    norm(A'r)       = 2.558E-14      = sigma1

    norm(s)         = 3.453E-04
    norm(x,s)       = 8.226E+01
    norm(rbar)      = 8.22617784E-09 = rho2
    norm(Abar'rbar) = 2.558E-14      = sigma2

    inform          = 1
    tol             = 1.490E-08
    test1           = 5.128E-17 (Ax = b)
    test2           = 9.714E-02 (least-squares)
    test3           = 4.078E-07 (damped least-squares)

 Solution  abs(x):
     1  0.141421         2  0.282843         3  0.424264         4  0.565685    
     5  0.707107         6  0.848528         7  0.989949         8   1.13137    

 LSMR  appears to be successful.
 Relative error in  x  =  2.43E-12


 --------------------------------------------------------------------
 Least-Squares Test Problem      P(  100  100    4    5    1.00E-11 )
 Condition no. =  9.7656E+06     Residual function =  3.767702805E-16
 --------------------------------------------------------------------


 Enter Acheck.
 Aprod1, Aprod2 seem OK.  Relative error =   6.0E-16


 Enter LSMR.       Least-squares solution of  Ax = b
 The matrix  A  has    100 rows   and    100 columns
 damp   =  9.99999996004197E-12
 atol   =  3.18E-16               conlim =  9.77E+09
 btol   =  3.18E-16               itnlim =      1000
 localSize (no. of vectors for local reorthogonalization) =      0

   Itn   abs(x(1))          norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
     0  0.000000000E+00  0.000000000E+00  4.32E+01  3.53E+01  1.00E+00  1.89E-02
     1  3.244104718E+00  1.880347602E+01  1.01E+01  4.35E-01  5.97E-01  9.04E-01  1.11E+00
     2  2.888398799E+00  1.116036669E+01  4.34E+00  2.58E-01  3.30E-01  1.18E+00  1.48E+00
     3  1.660235028E+00  7.399583499E+00  2.17E+00  1.71E-01  2.17E-01  1.35E+00  1.88E+00
     4  3.733082500E-01  5.159579359E+00  1.17E+00  1.19E-01  1.55E-01  1.47E+00  2.35E+00
     5  6.775466610E-01  3.682677586E+00  6.58E-01  8.52E-02  1.15E-01  1.55E+00  2.93E+00
     6  1.381093124E+00  2.650496330E+00  3.72E-01  6.13E-02  8.75E-02  1.60E+00  3.68E+00
     7  1.705061080E+00  1.905316091E+00  2.09E-01  4.41E-02  6.70E-02  1.63E+00  4.68E+00
     8  1.663647319E+00  1.359097717E+00  1.15E-01  3.15E-02  5.13E-02  1.65E+00  6.04E+00
     9  1.308513107E+00  9.574964486E-01  6.19E-02  2.22E-02  3.88E-02  1.66E+00  7.92E+00
    10  7.242401929E-01  6.638224651E-01  3.21E-02  1.54E-02  2.90E-02  1.67E+00  1.06E+01
    20  1.793360963E+00  7.266582597E-02  5.69E-04  1.68E-03  3.44E-03  2.28E+00  5.42E+01
    30  1.257123183E+00  1.983962477E-02  5.80E-05  4.59E-04  1.05E-03  2.77E+00  9.17E+01
    40  3.251807760E-01  4.333401832E-03  3.20E-06  1.00E-04  2.29E-04  3.22E+00  1.07E+02
    50  9.168664815E-02  1.503571322E-03  4.62E-07  3.48E-05  8.34E-05  3.69E+00  9.55E+02
    60  3.426700348E-01  3.959855115E-04  4.10E-08  9.17E-06  2.58E-05  4.02E+00  7.77E+02
    70  3.510569864E-01  3.519020136E-04  3.85E-08  8.15E-06  2.52E-05  4.34E+00  7.77E+02
    80  4.155157007E-01  6.679293380E-05  1.66E-09  1.55E-06  5.39E-06  4.61E+00  7.77E+02
    90  4.125072088E-01  6.273218694E-05  1.61E-09  1.45E-06  5.23E-06  4.89E+00  7.77E+02
   100  3.663332189E-01  4.832277203E-06  1.68E-11  1.12E-07  6.74E-07  5.14E+00  7.77E+02
   110  3.663324068E-01  4.832258469E-06  1.58E-11  1.12E-07  6.06E-07  5.40E+00  2.86E+03

   Itn   abs(x(1))          norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
   120  3.663322116E-01  4.832245714E-06  1.58E-11  1.12E-07  5.82E-07  5.63E+00  8.48E+04
   130  3.658682051E-01  4.801950577E-06  1.58E-11  1.11E-07  5.55E-07  5.92E+00  7.77E+02
   140  2.923189692E-01  3.916213691E-08  7.32E-14  9.06E-10  3.06E-07  6.12E+00  7.77E+02
   150  2.923175984E-01  3.916198877E-08  2.69E-14  9.06E-10  1.08E-07  6.33E+00  7.77E+02
   160  2.923173663E-01  3.916190011E-08  4.01E-15  9.06E-10  1.58E-08  6.49E+00  1.88E+03
   170  2.923173660E-01  3.916190003E-08  4.01E-15  9.06E-10  1.53E-08  6.71E+00  5.85E+03
   180  2.923172232E-01  3.916186301E-08  4.01E-15  9.06E-10  1.49E-08  6.87E+00  2.26E+04
   190  2.923172203E-01  3.916186226E-08  4.01E-15  9.06E-10  1.45E-08  7.06E+00  3.15E+06
   200  2.921452204E-01  3.911724300E-08  4.01E-15  9.05E-10  1.41E-08  7.26E+00  1.60E+03
   210  2.873874296E-01  3.788301237E-08  3.94E-15  8.77E-10  1.39E-08  7.48E+00  1.60E+03
   220  1.420548525E-01  8.388866287E-10  2.60E-16  1.94E-11  4.04E-08  7.66E+00  1.60E+03
   230  1.414894276E-01  8.228144550E-10  8.52E-17  1.90E-11  1.32E-08  7.82E+00  1.74E+03
   240  1.414217729E-01  8.226177769E-10  6.66E-18  1.90E-11  1.02E-09  7.97E+00  1.60E+03
   250  1.414213747E-01  8.226177695E-10  1.38E-18  1.90E-11  2.07E-10  8.12E+00  1.60E+03
   260  1.414213569E-01  8.226177695E-10  6.58E-20  1.90E-11  9.65E-12  8.29E+00  1.60E+03
   270  1.414213569E-01  8.226177695E-10  3.94E-20  1.90E-11  5.67E-12  8.45E+00  5.41E+03
   280  1.414213569E-01  8.226177695E-10  3.94E-20  1.90E-11  5.55E-12  8.63E+00  1.00E+05
   290  1.414213568E-01  8.226177695E-10  3.71E-20  1.90E-11  5.12E-12  8.79E+00  1.60E+03
   300  1.414213568E-01  8.226177694E-10  2.00E-20  1.90E-11  2.72E-12  8.94E+00  7.01E+03
   310  1.414213568E-01  8.226177694E-10  1.94E-20  1.90E-11  2.59E-12  9.08E+00  1.60E+03

   Itn   abs(x(1))          norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
   320  1.414213567E-01  8.226177694E-10  8.91E-24  1.90E-11  1.18E-15  9.21E+00  1.60E+03
   325  1.414213567E-01  8.226177694E-10  7.01E-26  1.90E-11  9.16E-18  9.30E+00  1.60E+03

 Exit  LSMR.       istop  = 3               itn    =     325
 Exit  LSMR.       normA  = 9.30029E+00     condA  = 1.59947E+03
 Exit  LSMR.       normb  = 4.32033E+01     normx  = 8.22618E+01
 Exit  LSMR.       normr  = 8.22618E-10     normAr = 7.00577E-26
 Exit  LSMR.       The estimate of cond(Abar) has exceeded conlim       


 Enter xcheck.     Does x solve Ax = b, etc?
    damp            = 1.000E-11
    norm(x)         = 8.226E+01
    norm(r)         = 5.19954325E-14 = rho1
    norm(A'r)       = 4.630E-14      = sigma1

    norm(s)         = 5.200E-03
    norm(x,s)       = 8.226E+01
    norm(rbar)      = 8.22617771E-10 = rho2
    norm(Abar'rbar) = 4.630E-14      = sigma2

    inform          = 1
    tol             = 1.490E-08
    test1           = 6.433E-17 (Ax = b)
    test2           = 9.574E-02 (least-squares)
    test3           = 6.051E-06 (damped least-squares)

 Solution  abs(x):
     1  0.141421         2  0.282843         3  0.424264         4  0.565685    
     5  0.707107         6  0.848528         7  0.989949         8   1.13137    

 LSMR  appears to be successful.
 Relative error in  x  =  4.01E-11


 --------------------------------------------------------------------
 Least-Squares Test Problem      P(  100  100    4    6    1.00E-12 )
 Condition no. =  2.4414E+08     Residual function =  9.362245246E-17
 --------------------------------------------------------------------


 Enter Acheck.
 Aprod1, Aprod2 seem OK.  Relative error =   5.4E-16


 Enter LSMR.       Least-squares solution of  Ax = b
 The matrix  A  has    100 rows   and    100 columns
 damp   =  9.99999996004197E-13
 atol   =  3.18E-16               conlim =  2.44E+11
 btol   =  3.18E-16               itnlim =      1000
 localSize (no. of vectors for local reorthogonalization) =      0

   Itn   abs(x(1))          norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
     0  0.000000000E+00  0.000000000E+00  4.09E+01  3.37E+01  1.00E+00  2.01E-02
     1  3.269689928E+00  1.797706963E+01  9.57E+00  4.40E-01  5.83E-01  9.13E-01  1.10E+00
     2  3.345691219E+00  1.065153125E+01  3.98E+00  2.60E-01  3.18E-01  1.18E+00  1.51E+00
     3  2.409232335E+00  6.984806894E+00  1.92E+00  1.71E-01  2.05E-01  1.34E+00  1.97E+00
     4  1.169858232E+00  4.773632777E+00  9.85E-01  1.17E-01  1.44E-01  1.44E+00  2.56E+00
     5  3.915066015E-02  3.309621490E+00  5.15E-01  8.09E-02  1.04E-01  1.50E+00  3.35E+00
     6  1.022890184E+00  2.293373596E+00  2.69E-01  5.61E-02  7.65E-02  1.53E+00  4.42E+00
     7  1.659413095E+00  1.573758807E+00  1.37E-01  3.85E-02  5.62E-02  1.55E+00  5.92E+00
     8  1.887733734E+00  1.063044753E+00  6.78E-02  2.60E-02  4.09E-02  1.56E+00  8.08E+00
     9  1.710751643E+00  7.039587051E-01  3.23E-02  1.72E-02  2.93E-02  1.57E+00  1.13E+01
    10  1.195087371E+00  4.556640882E-01  1.46E-02  1.11E-02  2.05E-02  1.57E+00  1.60E+01
    20  1.595005761E+00  5.958143240E-02  3.42E-04  1.46E-03  2.62E-03  2.19E+00  1.37E+02
    30  1.550543885E+00  9.592868281E-03  1.94E-05  2.35E-04  7.11E-04  2.85E+00  7.77E+01
    40  9.231513234E-01  3.164629971E-03  1.41E-06  7.74E-05  1.39E-04  3.21E+00  5.89E+02
    50  3.810593822E-01  1.122856413E-03  2.05E-07  2.75E-05  5.12E-05  3.56E+00  4.57E+02
    60  6.809012299E-02  3.206526596E-04  2.03E-08  7.84E-06  1.63E-05  3.89E+00  4.21E+02
    70  3.365656604E-01  6.653503898E-05  1.98E-09  1.63E-06  7.03E-06  4.24E+00  4.21E+02
    80  3.383965791E-01  6.646970510E-05  1.11E-09  1.63E-06  3.68E-06  4.53E+00  7.65E+02
    90  3.476412124E-01  5.879068124E-05  1.04E-09  1.44E-06  3.66E-06  4.83E+00  4.21E+02
   100  4.170633151E-01  8.251669701E-06  2.47E-11  2.02E-07  5.91E-07  5.07E+00  4.21E+02
   110  4.170631122E-01  8.251604963E-06  2.46E-11  2.02E-07  5.64E-07  5.29E+00  3.54E+03

   Itn   abs(x(1))          norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
   120  4.142796502E-01  7.792741094E-06  2.39E-11  1.91E-07  5.54E-07  5.54E+00  7.21E+03
   130  3.770075542E-01  1.677457682E-06  1.09E-11  4.10E-08  1.14E-06  5.73E+00  7.21E+03
   140  3.671592997E-01  3.907413656E-07  6.78E-13  9.55E-09  2.89E-07  6.01E+00  7.21E+03
   150  3.671221447E-01  3.906908058E-07  1.03E-13  9.55E-09  4.25E-08  6.21E+00  7.21E+03
   160  3.671220679E-01  3.906905329E-07  1.02E-13  9.55E-09  4.10E-08  6.39E+00  1.06E+04
   170  3.662519186E-01  3.861391603E-07  1.02E-13  9.44E-09  4.01E-08  6.58E+00  7.21E+03
   180  3.661310104E-01  3.855067423E-07  1.02E-13  9.43E-09  3.87E-08  6.81E+00  7.21E+03
   190  3.319885803E-01  2.069253704E-07  7.45E-14  5.06E-09  5.16E-08  6.99E+00  1.54E+04
   200  2.924356201E-01  1.569696561E-09  8.53E-16  3.84E-11  7.60E-08  7.15E+00  7.21E+03
   210  2.924304584E-01  1.569462275E-09  5.67E-17  3.84E-11  4.94E-09  7.32E+00  7.21E+03
   220  2.924304421E-01  1.569462266E-09  3.04E-17  3.84E-11  2.57E-09  7.53E+00  7.21E+03
   230  2.924304421E-01  1.569462263E-09  3.04E-17  3.84E-11  2.51E-09  7.70E+00  7.21E+03
   240  2.924304287E-01  1.569461175E-09  6.43E-18  3.84E-11  5.21E-10  7.85E+00  9.79E+03
   250  2.924304287E-01  1.569461174E-09  6.42E-18  3.84E-11  5.10E-10  8.02E+00  7.21E+03
   260  2.924304287E-01  1.569461174E-09  6.42E-18  3.84E-11  5.01E-10  8.17E+00  7.21E+03
   270  2.924304286E-01  1.569461174E-09  6.42E-18  3.84E-11  4.91E-10  8.34E+00  1.89E+07
   280  2.924283845E-01  1.569439986E-09  6.42E-18  3.84E-11  4.80E-10  8.52E+00  2.79E+05
   290  2.924276671E-01  1.569432551E-09  6.42E-18  3.84E-11  4.73E-10  8.66E+00  4.31E+04
   300  2.924276639E-01  1.569432517E-09  6.42E-18  3.84E-11  4.66E-10  8.79E+00  9.15E+06
   310  2.924276122E-01  1.569431982E-09  6.42E-18  3.84E-11  4.57E-10  8.95E+00  7.21E+03

   Itn   abs(x(1))          norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
   320  2.924270482E-01  1.569426136E-09  6.42E-18  3.84E-11  4.49E-10  9.10E+00  1.30E+06
   330  2.923682470E-01  1.568816685E-09  6.42E-18  3.84E-11  4.43E-10  9.23E+00  5.69E+04
   340  2.909797429E-01  1.554425586E-09  6.39E-18  3.80E-11  4.39E-10  9.36E+00  7.21E+03
   350  2.317620204E-01  9.412357463E-10  4.97E-18  2.30E-11  5.56E-10  9.48E+00  7.21E+03
   360  1.414283949E-01  8.226181296E-11  4.38E-20  2.01E-12  5.51E-11  9.66E+00  7.21E+03
   370  1.414216204E-01  8.226178076E-11  8.14E-21  2.01E-12  1.01E-11  9.78E+00  9.59E+03
   380  1.414215351E-01  8.226178073E-11  6.55E-21  2.01E-12  8.04E-12  9.90E+00  7.21E+03
   390  1.414215345E-01  8.226178073E-11  6.54E-21  2.01E-12  7.92E-12  1.00E+01  7.21E+03
   400  1.414215340E-01  8.226178073E-11  6.53E-21  2.01E-12  7.82E-12  1.01E+01  7.21E+03
   410  1.414215340E-01  8.226178073E-11  6.53E-21  2.01E-12  7.70E-12  1.03E+01  3.16E+06
   420  1.414215160E-01  8.226177990E-11  6.14E-21  2.01E-12  7.16E-12  1.04E+01  7.21E+03
   430  1.414213802E-01  8.226177694E-11  1.11E-22  2.01E-12  1.28E-13  1.05E+01  7.21E+03
   440  1.414213802E-01  8.226177694E-11  1.01E-22  2.01E-12  1.15E-13  1.07E+01  7.21E+03
   450  1.414213801E-01  8.226177694E-11  8.75E-24  2.01E-12  9.86E-15  1.08E+01  7.21E+03
   460  1.414213801E-01  8.226177694E-11  3.66E-25  2.01E-12  4.09E-16  1.09E+01  7.21E+03
   470  1.414213801E-01  8.226177694E-11  3.45E-25  2.01E-12  3.81E-16  1.10E+01  7.21E+03
   480  1.414213801E-01  8.226177694E-11  3.44E-25  2.01E-12  3.75E-16  1.12E+01  3.25E+04
   490  1.414213801E-01  8.226177694E-11  3.42E-25  2.01E-12  3.69E-16  1.13E+01  7.21E+03
   500  1.414213801E-01  8.226177694E-11  3.39E-25  2.01E-12  3.62E-16  1.14E+01  7.21E+03
   502  1.414213801E-01  8.226177694E-11  7.54E-26  2.01E-12  8.04E-17  1.14E+01  7.21E+03

 Exit  LSMR.       istop  = 3               itn    =     502
 Exit  LSMR.       normA  = 1.13994E+01     condA  = 7.21244E+03
 Exit  LSMR.       normb  = 4.08967E+01     normx  = 8.22618E+01
 Exit  LSMR.       normr  = 8.22618E-11     normAr = 7.54244E-26
 Exit  LSMR.       The estimate of cond(Abar) has exceeded conlim       


 Enter xcheck.     Does x solve Ax = b, etc?
    damp            = 1.000E-12
    norm(x)         = 8.226E+01
    norm(r)         = 6.63581224E-14 = rho1
    norm(A'r)       = 6.129E-14      = sigma1

    norm(s)         = 6.636E-02
    norm(x,s)       = 8.226E+01
    norm(rbar)      = 8.22618037E-11 = rho2
    norm(Abar'rbar) = 6.129E-14      = sigma2

    inform          = 1
    tol             = 1.490E-08
    test1           = 6.781E-17 (Ax = b)
    test2           = 8.102E-02 (least-squares)
    test3           = 6.536E-05 (damped least-squares)

 Solution  abs(x):
     1  0.141421         2  0.282843         3  0.424264         4  0.565685    
     5  0.707107         6  0.848528         7  0.989949         8   1.13137    

 LSMR  appears to be successful.
 Relative error in  x  =  1.80E-09


 --------------------------------------------------------------------
 Least-Squares Test Problem      P(  100  100    4    6    1.00E-12 )
 Condition no. =  2.4414E+08     Residual function =  9.362245246E-17
 --------------------------------------------------------------------


 Enter Acheck.
 Aprod1, Aprod2 seem OK.  Relative error =   5.4E-16


 Enter LSMR.       Least-squares solution of  Ax = b
 The matrix  A  has    100 rows   and    100 columns
 damp   =  9.99999996004197E-13
 atol   =  3.18E-16               conlim =  2.44E+11
 btol   =  3.18E-16               itnlim =      1000
 localSize (no. of vectors for local reorthogonalization) =     10

   Itn   abs(x(1))          norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
     0  0.000000000E+00  0.000000000E+00  4.09E+01  3.37E+01  1.00E+00  2.01E-02
     1  3.269689928E+00  1.797706963E+01  9.57E+00  4.40E-01  5.83E-01  9.13E-01  1.10E+00
     2  3.345691219E+00  1.065153125E+01  3.98E+00  2.60E-01  3.18E-01  1.18E+00  1.51E+00
     3  2.409232335E+00  6.984806894E+00  1.92E+00  1.71E-01  2.05E-01  1.34E+00  1.97E+00
     4  1.169858232E+00  4.773632777E+00  9.85E-01  1.17E-01  1.44E-01  1.44E+00  2.56E+00
     5  3.915066015E-02  3.309621490E+00  5.15E-01  8.09E-02  1.04E-01  1.50E+00  3.35E+00
     6  1.022890184E+00  2.293373596E+00  2.69E-01  5.61E-02  7.65E-02  1.53E+00  4.42E+00
     7  1.659413095E+00  1.573758807E+00  1.37E-01  3.85E-02  5.62E-02  1.55E+00  5.92E+00
     8  1.887733734E+00  1.063044753E+00  6.78E-02  2.60E-02  4.09E-02  1.56E+00  8.08E+00
     9  1.710751650E+00  7.039587051E-01  3.23E-02  1.72E-02  2.93E-02  1.57E+00  1.13E+01
    10  1.195085775E+00  4.556640529E-01  1.46E-02  1.11E-02  2.05E-02  1.57E+00  1.60E+01
    20  1.594996608E+00  5.958299700E-02  3.42E-04  1.46E-03  2.62E-03  2.19E+00  1.35E+02
    30  1.631844602E+00  1.192318248E-02  2.43E-05  2.92E-04  7.17E-04  2.84E+00  4.84E+01
    40  9.231095128E-01  3.164421690E-03  1.41E-06  7.74E-05  1.39E-04  3.21E+00  2.01E+03
    50  3.811112761E-01  1.122973532E-03  2.05E-07  2.75E-05  5.12E-05  3.56E+00  8.55E+02
    60  6.817866098E-02  3.206452252E-04  2.01E-08  7.84E-06  1.62E-05  3.87E+00  7.61E+02
    70  1.827714667E-01  1.929115338E-04  1.52E-08  4.72E-06  1.89E-05  4.18E+00  7.61E+02
    80  3.383965358E-01  6.646970181E-05  1.11E-09  1.63E-06  3.65E-06  4.56E+00  7.61E+02
    90  3.384155770E-01  6.645402978E-05  1.11E-09  1.62E-06  3.47E-06  4.79E+00  4.57E+03
   100  4.169068547E-01  8.253315081E-06  5.48E-11  2.02E-07  1.30E-06  5.09E+00  2.82E+03
   110  4.170630922E-01  8.251603691E-06  2.46E-11  2.02E-07  5.61E-07  5.31E+00  2.82E+03

   Itn   abs(x(1))          norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
   120  4.170610724E-01  8.251268550E-06  2.46E-11  2.02E-07  5.39E-07  5.54E+00  3.81E+04
   130  4.170278441E-01  8.245755446E-06  2.46E-11  2.02E-07  5.12E-07  5.82E+00  5.65E+04
   140  3.673499605E-01  3.925568109E-07  1.65E-12  9.60E-09  6.99E-07  6.03E+00  2.87E+03
   150  3.673168680E-01  3.920585103E-07  1.53E-12  9.59E-09  6.27E-07  6.23E+00  2.82E+03
   160  3.671217727E-01  3.906907565E-07  1.06E-13  9.55E-09  4.22E-08  6.41E+00  2.82E+03
   170  3.671216280E-01  3.906897059E-07  1.05E-13  9.55E-09  4.06E-08  6.63E+00  2.82E+03
   180  3.671209255E-01  3.906847479E-07  1.03E-13  9.55E-09  3.83E-08  6.86E+00  2.95E+03
   190  3.671208065E-01  3.906839384E-07  1.02E-13  9.55E-09  3.72E-08  7.04E+00  9.94E+04
   200  3.671195957E-01  3.906776046E-07  1.02E-13  9.55E-09  3.62E-08  7.24E+00  2.82E+03
   210  3.624538547E-01  3.662718791E-07  9.92E-14  8.96E-09  3.66E-08  7.40E+00  2.82E+03
   220  3.027769909E-01  5.416973051E-08  3.81E-14  1.32E-09  9.23E-08  7.62E+00  2.82E+03
   230  3.027647210E-01  5.410563781E-08  3.81E-14  1.32E-09  9.06E-08  7.77E+00  2.82E+03
   240  2.925184933E-01  1.635749231E-09  3.52E-15  4.00E-11  2.71E-07  7.92E+00  2.82E+03
   250  2.924424440E-01  1.570735423E-09  1.30E-15  3.84E-11  1.02E-07  8.07E+00  2.82E+03
   260  2.924422717E-01  1.570699168E-09  1.29E-15  3.84E-11  9.99E-08  8.22E+00  2.82E+03
   270  2.924304301E-01  1.569460991E-09  1.54E-17  3.84E-11  1.16E-09  8.43E+00  2.82E+03
   280  2.924304299E-01  1.569460988E-09  1.49E-17  3.84E-11  1.11E-09  8.60E+00  2.82E+03
   290  2.924304280E-01  1.569460969E-09  6.95E-18  3.84E-11  5.07E-10  8.73E+00  2.82E+03
   300  2.924304279E-01  1.569460969E-09  6.42E-18  3.84E-11  4.62E-10  8.87E+00  4.10E+05
   310  2.924304279E-01  1.569460969E-09  6.42E-18  3.84E-11  4.52E-10  9.05E+00  4.46E+05

   Itn   abs(x(1))          norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
   320  2.924304275E-01  1.569460965E-09  6.42E-18  3.84E-11  4.45E-10  9.19E+00  1.79E+05
   330  2.924301431E-01  1.569458014E-09  6.42E-18  3.84E-11  4.39E-10  9.32E+00  3.90E+03
   340  2.924301430E-01  1.569458013E-09  6.42E-18  3.84E-11  4.32E-10  9.47E+00  1.91E+06
   350  2.924301430E-01  1.569458013E-09  6.42E-18  3.84E-11  4.26E-10  9.60E+00  2.00E+06
   360  2.924301429E-01  1.569458012E-09  6.42E-18  3.84E-11  4.21E-10  9.73E+00  2.14E+05
   370  2.924299761E-01  1.569456282E-09  6.42E-18  3.84E-11  4.14E-10  9.89E+00  1.76E+06
   380  2.924299750E-01  1.569456271E-09  6.42E-18  3.84E-11  4.09E-10  1.00E+01  8.53E+06
   390  2.924299740E-01  1.569456261E-09  6.42E-18  3.84E-11  4.04E-10  1.01E+01  8.09E+06
   400  2.924299727E-01  1.569456247E-09  6.42E-18  3.84E-11  3.98E-10  1.03E+01  1.25E+05
   410  2.924299096E-01  1.569455593E-09  6.42E-18  3.84E-11  3.92E-10  1.04E+01  2.79E+07
   420  2.924299033E-01  1.569455528E-09  6.42E-18  3.84E-11  3.88E-10  1.06E+01  2.30E+05
   430  2.924298955E-01  1.569455447E-09  6.42E-18  3.84E-11  3.84E-10  1.07E+01  3.54E+04
   440  2.619545413E-01  1.253757997E-09  5.73E-18  3.07E-11  4.24E-10  1.08E+01  1.94E+05
   450  2.619545340E-01  1.253757921E-09  5.73E-18  3.07E-11  4.19E-10  1.09E+01  1.87E+05
   460  2.619544398E-01  1.253756946E-09  5.73E-18  3.07E-11  4.13E-10  1.11E+01  1.59E+05
   470  2.619534819E-01  1.253747025E-09  5.73E-18  3.07E-11  4.09E-10  1.12E+01  6.69E+04
   480  2.619522093E-01  1.253733845E-09  5.73E-18  3.07E-11  4.05E-10  1.13E+01  4.60E+05
   490  2.619477061E-01  1.253687206E-09  5.73E-18  3.07E-11  4.02E-10  1.14E+01  2.91E+04
   500  1.416210172E-01  8.228787374E-11  2.33E-19  2.01E-12  2.46E-10  1.15E+01  2.82E+03
   510  1.414733213E-01  8.226354455E-11  1.19E-19  2.01E-12  1.24E-10  1.17E+01  2.82E+03

   Itn   abs(x(1))          norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
   520  1.414719100E-01  8.226344984E-11  1.17E-19  2.01E-12  1.21E-10  1.18E+01  1.04E+04
   530  1.414224844E-01  8.226177785E-11  1.75E-20  2.01E-12  1.79E-11  1.19E+01  2.82E+03
   540  1.414224808E-01  8.226177785E-11  1.74E-20  2.01E-12  1.77E-11  1.20E+01  1.74E+04
   550  1.414224800E-01  8.226177785E-11  1.74E-20  2.01E-12  1.75E-11  1.21E+01  5.03E+03
   560  1.414224720E-01  8.226177784E-11  1.74E-20  2.01E-12  1.73E-11  1.22E+01  2.82E+03
   570  1.414218197E-01  8.226177716E-11  1.11E-20  2.01E-12  1.10E-11  1.23E+01  2.82E+03
   580  1.414218183E-01  8.226177716E-11  1.11E-20  2.01E-12  1.09E-11  1.24E+01  2.82E+03
   590  1.414218156E-01  8.226177716E-11  1.11E-20  2.01E-12  1.07E-11  1.26E+01  2.53E+05
   600  1.414213764E-01  8.226177694E-11  1.64E-21  2.01E-12  1.57E-12  1.27E+01  2.82E+03
   610  1.414213685E-01  8.226177694E-11  7.38E-22  2.01E-12  7.03E-13  1.28E+01  2.82E+03
   620  1.414213666E-01  8.226177694E-11  4.40E-23  2.01E-12  4.15E-14  1.29E+01  2.82E+03
   630  1.414213666E-01  8.226177694E-11  1.36E-23  2.01E-12  1.27E-14  1.30E+01  2.82E+03
   640  1.414213666E-01  8.226177694E-11  3.25E-24  2.01E-12  3.02E-15  1.31E+01  2.82E+03
   650  1.414213666E-01  8.226177694E-11  3.22E-24  2.01E-12  2.97E-15  1.32E+01  4.87E+03
   660  1.414213666E-01  8.226177694E-11  4.35E-25  2.01E-12  3.97E-16  1.33E+01  7.96E+03
   670  1.414213666E-01  8.226177694E-11  4.33E-25  2.01E-12  3.92E-16  1.34E+01  7.96E+03
   680  1.414213666E-01  8.226177694E-11  4.33E-25  2.01E-12  3.89E-16  1.35E+01  1.27E+06
   690  1.414213666E-01  8.226177694E-11  4.33E-25  2.01E-12  3.86E-16  1.36E+01  5.70E+04
   700  1.414213666E-01  8.226177694E-11  4.33E-25  2.01E-12  3.84E-16  1.37E+01  7.96E+03
   710  1.414213666E-01  8.226177694E-11  4.33E-25  2.01E-12  3.81E-16  1.38E+01  7.96E+03

   Itn   abs(x(1))          norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
   720  1.414213666E-01  8.226177694E-11  4.32E-25  2.01E-12  3.78E-16  1.39E+01  7.96E+03
   730  1.414213666E-01  8.226177694E-11  4.14E-25  2.01E-12  3.59E-16  1.40E+01  7.96E+03
   740  1.414213666E-01  8.226177694E-11  4.13E-25  2.01E-12  3.56E-16  1.41E+01  7.96E+03
   744  1.414213666E-01  8.226177694E-11  3.76E-25  2.01E-12  3.22E-16  1.42E+01  7.96E+03
   745  1.414213666E-01  8.226177694E-11  3.74E-25  2.01E-12  3.21E-16  1.42E+01  7.96E+03
   746  1.414213666E-01  8.226177694E-11  3.49E-25  2.01E-12  3.00E-16  1.42E+01  7.96E+03

 Exit  LSMR.       istop  = 3               itn    =     746
 Exit  LSMR.       normA  = 1.41693E+01     condA  = 7.95919E+03
 Exit  LSMR.       normb  = 4.08967E+01     normx  = 8.22618E+01
 Exit  LSMR.       normr  = 8.22618E-11     normAr = 3.49445E-25
 Exit  LSMR.       The estimate of cond(Abar) has exceeded conlim       


 Enter xcheck.     Does x solve Ax = b, etc?
    damp            = 1.000E-12
    norm(x)         = 8.226E+01
    norm(r)         = 6.53325453E-14 = rho1
    norm(A'r)       = 5.269E-14      = sigma1

    norm(s)         = 6.533E-02
    norm(x,s)       = 8.226E+01
    norm(rbar)      = 8.22618029E-11 = rho2
    norm(Abar'rbar) = 5.269E-14      = sigma2

    inform          = 1
    tol             = 1.490E-08
    test1           = 5.415E-17 (Ax = b)
    test2           = 5.692E-02 (least-squares)
    test3           = 4.521E-05 (damped least-squares)

 Solution  abs(x):
     1  0.141421         2  0.282843         3  0.424264         4  0.565685    
     5  0.707107         6  0.848528         7  0.989949         8   1.13137    

 LSMR  appears to be successful.
 Relative error in  x  =  1.55E-09


 --------------------------------------------------------------------
 Least-Squares Test Problem      P(  100  200    4    2    0.00E+00 )
 Condition no. =  6.2500E+02     Residual function =  0.000000000E+00
 --------------------------------------------------------------------


 Enter Acheck.
 Aprod1, Aprod2 seem OK.  Relative error =   6.1E-16


 Enter LSMR.       Least-squares solution of  Ax = b
 The matrix  A  has    100 rows   and    200 columns
 damp   =  0.00000000000000E+00
 atol   =  3.18E-16               conlim =  6.25E+05
 btol   =  3.18E-16               itnlim =      1400
 localSize (no. of vectors for local reorthogonalization) =      0

   Itn   abs(x(1))           norm r         A'r    Compatible    LS      norm A    cond A
     0  0.000000000E+00  0.000000000E+00  5.55E+01  4.58E+01  1.00E+00  1.49E-02
     1  3.194357744E+00  2.066440100E+01  1.22E+01  3.72E-01  6.64E-01  8.87E-01  1.13E+00
     2  2.966979999E+00  1.125253982E+01  5.08E+00  2.03E-01  3.83E-01  1.18E+00  1.41E+00
     3  2.236258245E+00  7.163251953E+00  2.60E+00  1.29E-01  2.61E-01  1.39E+00  1.67E+00
     4  1.558307031E+00  4.964737321E+00  1.50E+00  8.94E-02  1.93E-01  1.56E+00  1.90E+00
     5  1.022653771E+00  3.628406232E+00  9.31E-01  6.53E-02  1.51E-01  1.70E+00  2.13E+00
     6  6.178867743E-01  2.747829390E+00  6.09E-01  4.95E-02  1.22E-01  1.82E+00  2.37E+00
     7  3.161072888E-01  2.133162375E+00  4.14E-01  3.84E-02  1.01E-01  1.93E+00  2.62E+00
     8  9.207237064E-02  1.685082036E+00  2.89E-01  3.03E-02  8.50E-02  2.02E+00  2.89E+00
     9  7.368804239E-02  1.347160388E+00  2.05E-01  2.43E-02  7.27E-02  2.09E+00  3.18E+00
    10  1.954878892E-01  1.085262248E+00  1.47E-01  1.95E-02  6.29E-02  2.15E+00  3.52E+00
    20  3.576571613E-01  1.103494631E-01  4.31E-03  1.99E-03  1.53E-02  2.55E+00  1.37E+01
    30  2.120125914E-01  1.489601813E-02  2.28E-04  2.68E-04  4.86E-03  3.15E+00  5.40E+01
    40  1.349878059E-01  5.227336185E-04  8.48E-07  9.41E-06  4.44E-04  3.66E+00  2.85E+01
    50  5.918248028E-04  1.228226700E-06  3.99E-08  2.21E-08  7.86E-03  4.13E+00  2.85E+01
    60  2.849041346E-04  6.874386852E-12  1.11E-12  1.24E-13  3.58E-02  4.50E+00  2.85E+01
    70  2.849041358E-04  1.035167635E-13  4.67E-15  1.86E-15  9.33E-03  4.83E+00  2.85E+01

 Exit  LSMR.       istop  = 1               itn    =      70
 Exit  LSMR.       normA  = 4.83475E+00     condA  = 2.84931E+01
 Exit  LSMR.       normb  = 5.55397E+01     normx  = 8.22618E+01
 Exit  LSMR.       normr  = 1.03517E-13     normAr = 4.67020E-15
 Exit  LSMR.       Ax - b is small enough, given atol, btol             


 Enter xcheck.     Does x solve Ax = b, etc?
    damp            = 0.000E+00
    norm(x)         = 8.226E+01
    norm(r)         = 1.05640047E-13 = rho1
    norm(A'r)       = 2.742E-14      = sigma1

    inform          = 1
    tol             = 1.490E-08
    test1           = 2.331E-16 (Ax = b)
    test2           = 5.368E-02 (least-squares)
    test3           = 5.368E-02 (damped least-squares)

 Solution  abs(x):
     1  0.284904E-03     2  0.142542         3  0.285353         4  0.428713    
     5  0.572613         6  0.717043         7  0.861993         8   1.00745    

 LSMR  appears to be successful.
 Relative error in  x  =  4.77E-14


 --------------------------------------------------------------------
 Least-Squares Test Problem      P(  100  200    4    3    1.00E-09 )
 Condition no. =  1.5625E+04     Residual function =  9.169823291E-15
 --------------------------------------------------------------------


 Enter Acheck.
 Aprod1, Aprod2 seem OK.  Relative error =   7.5E-16


 Enter LSMR.       Least-squares solution of  Ax = b
 The matrix  A  has    100 rows   and    200 columns
 damp   =  9.99999971718069E-10
 atol   =  3.18E-16               conlim =  1.56E+07
 btol   =  3.18E-16               itnlim =      1400
 localSize (no. of vectors for local reorthogonalization) =      0

   Itn   abs(x(1))          norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
     0  0.000000000E+00  0.000000000E+00  4.98E+01  4.07E+01  1.00E+00  1.64E-02
     1  3.101180989E+00  2.019539226E+01  1.14E+01  4.05E-01  6.33E-01  8.90E-01  1.12E+00
     2  3.545183242E+00  1.165907128E+01  4.90E+00  2.34E-01  3.58E-01  1.18E+00  1.44E+00
     3  3.316131155E+00  7.738598280E+00  2.56E+00  1.55E-01  2.40E-01  1.38E+00  1.74E+00
     4  2.897442083E+00  5.522741523E+00  1.48E+00  1.11E-01  1.75E-01  1.53E+00  2.03E+00
     5  2.442364493E+00  4.112537532E+00  9.16E-01  8.26E-02  1.34E-01  1.66E+00  2.35E+00
     6  2.003483666E+00  3.143220666E+00  5.90E-01  6.31E-02  1.07E-01  1.76E+00  2.71E+00
     7  1.598322746E+00  2.440213596E+00  3.89E-01  4.90E-02  8.70E-02  1.83E+00  3.12E+00
     8  1.231531818E+00  1.910158086E+00  2.60E-01  3.84E-02  7.20E-02  1.89E+00  3.60E+00
     9  9.031705925E-01  1.498999770E+00  1.74E-01  3.01E-02  6.01E-02  1.93E+00  4.19E+00
    10  6.119806908E-01  1.173526808E+00  1.16E-01  2.36E-02  5.04E-02  1.96E+00  4.91E+00
    20  4.387466347E-01  1.298346537E-01  2.95E-03  2.61E-03  9.03E-03  2.52E+00  1.48E+01
    30  3.856399390E-01  2.411495392E-02  1.69E-04  4.84E-04  2.35E-03  2.98E+00  2.65E+01
    40  2.533969475E-01  3.418385805E-03  5.80E-06  6.86E-05  4.84E-04  3.51E+00  5.66E+01
    50  1.893360767E-01  6.223151373E-04  3.24E-07  1.25E-05  1.33E-04  3.92E+00  1.36E+02
    60  1.455393665E-01  2.789004586E-05  5.21E-08  5.60E-07  4.40E-04  4.24E+00  1.76E+02
    70  1.443360957E-01  2.236050039E-05  1.43E-09  4.49E-07  1.41E-05  4.55E+00  1.96E+03
    80  1.367177633E-01  2.117796410E-05  1.39E-09  4.25E-07  1.35E-05  4.89E+00  1.76E+02
    90  3.220488366E-04  8.251141395E-08  2.30E-11  1.66E-09  5.39E-05  5.16E+00  1.76E+02
   100  2.849042569E-04  8.226177419E-08  2.67E-14  1.65E-09  5.92E-08  5.49E+00  1.76E+02
   110  2.849041710E-04  8.226177393E-08  1.61E-16  1.65E-09  3.40E-10  5.74E+00  1.76E+02

   Itn   abs(x(1))          norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
   120  2.849041694E-04  8.226177393E-08  4.37E-18  1.65E-09  8.81E-12  6.03E+00  3.30E+02
   130  2.849041694E-04  8.226177393E-08  6.50E-20  1.65E-09  1.26E-13  6.28E+00  5.75E+02
   140  2.849041694E-04  8.226177393E-08  3.57E-20  1.65E-09  6.69E-14  6.48E+00  3.30E+02
   150  2.849041694E-04  8.226177393E-08  2.01E-22  1.65E-09  3.67E-16  6.67E+00  3.30E+02
   151  2.849041694E-04  8.226177393E-08  1.92E-22  1.65E-09  3.47E-16  6.72E+00  3.30E+02
   152  2.849041694E-04  8.226177393E-08  1.59E-22  1.65E-09  2.87E-16  6.75E+00  3.30E+02

 Exit  LSMR.       istop  = 3               itn    =     152
 Exit  LSMR.       normA  = 6.75319E+00     condA  = 3.30324E+02
 Exit  LSMR.       normb  = 4.98069E+01     normx  = 8.22618E+01
 Exit  LSMR.       normr  = 8.22618E-08     normAr = 1.59198E-22
 Exit  LSMR.       The estimate of cond(Abar) has exceeded conlim       


 Enter xcheck.     Does x solve Ax = b, etc?
    damp            = 1.000E-09
    norm(x)         = 8.226E+01
    norm(r)         = 2.84561120E-14 = rho1
    norm(A'r)       = 2.181E-14      = sigma1

    norm(s)         = 2.846E-05
    norm(x,s)       = 8.226E+01
    norm(rbar)      = 8.22617739E-08 = rho2
    norm(Abar'rbar) = 2.183E-14      = sigma2

    inform          = 1
    tol             = 1.490E-08
    test1           = 4.701E-17 (Ax = b)
    test2           = 1.135E-01 (least-squares)
    test3           = 3.929E-08 (damped least-squares)

 Solution  abs(x):
     1  0.284904E-03     2  0.142542         3  0.285353         4  0.428713    
     5  0.572613         6  0.717043         7  0.861993         8   1.00745    

 LSMR  appears to be successful.
 Relative error in  x  =  9.99E-13


 --------------------------------------------------------------------
 Least-Squares Test Problem      P(  100  200    4    4    1.00E-10 )
 Condition no. =  3.9062E+05     Residual function =  2.129571415E-15
 --------------------------------------------------------------------


 Enter Acheck.
 Aprod1, Aprod2 seem OK.  Relative error =   5.5E-16


 Enter LSMR.       Least-squares solution of  Ax = b
 The matrix  A  has    100 rows   and    200 columns
 damp   =  1.00000001335143E-10
 atol   =  3.18E-16               conlim =  3.91E+08
 btol   =  3.18E-16               itnlim =      1400
 localSize (no. of vectors for local reorthogonalization) =      0

   Itn   abs(x(1))          norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
     0  0.000000000E+00  0.000000000E+00  4.58E+01  3.74E+01  1.00E+00  1.78E-02
     1  2.861930782E+00  1.936395649E+01  1.07E+01  4.22E-01  6.13E-01  8.97E-01  1.11E+00
     2  3.613478032E+00  1.142200270E+01  4.59E+00  2.49E-01  3.41E-01  1.18E+00  1.46E+00
     3  3.715572381E+00  7.651906370E+00  2.37E+00  1.67E-01  2.26E-01  1.37E+00  1.80E+00
     4  3.550341089E+00  5.459017137E+00  1.34E+00  1.19E-01  1.63E-01  1.51E+00  2.18E+00
     5  3.259739045E+00  4.028825237E+00  7.97E-01  8.79E-02  1.23E-01  1.61E+00  2.61E+00
     6  2.906296939E+00  3.026575425E+00  4.88E-01  6.60E-02  9.60E-02  1.68E+00  3.14E+00
     7  2.521398060E+00  2.290414855E+00  3.02E-01  5.00E-02  7.62E-02  1.73E+00  3.80E+00
     8  2.123201360E+00  1.732991541E+00  1.86E-01  3.78E-02  6.10E-02  1.76E+00  4.63E+00
     9  1.724191177E+00  1.303142683E+00  1.14E-01  2.84E-02  4.89E-02  1.79E+00  5.71E+00
    10  1.334568392E+00  9.688099228E-01  6.80E-02  2.11E-02  3.90E-02  1.80E+00  7.14E+00
    20  3.150363959E-01  9.555703710E-02  1.20E-03  2.08E-03  5.17E-03  2.43E+00  2.51E+01
    30  4.554247442E-01  1.445861404E-02  4.77E-05  3.15E-04  1.12E-03  2.95E+00  5.48E+01
    40  4.104628726E-01  5.871499418E-03  8.84E-06  1.28E-04  4.48E-04  3.36E+00  5.71E+01
    50  3.428472091E-01  2.006915145E-03  1.28E-06  4.38E-05  1.69E-04  3.76E+00  1.19E+03
    60  2.638378960E-01  4.678348470E-04  9.64E-08  1.02E-05  4.97E-05  4.15E+00  1.83E+03
    70  1.926629233E-01  5.335117201E-05  2.37E-09  1.16E-06  9.97E-06  4.46E+00  2.17E+02
    80  1.926556394E-01  5.335012119E-05  2.18E-09  1.16E-06  8.71E-06  4.70E+00  8.88E+03
    90  1.643406301E-01  2.079498829E-05  1.36E-09  4.54E-07  1.31E-05  5.02E+00  2.17E+02
   100  1.462785461E-01  9.065114696E-07  7.26E-12  1.98E-08  1.52E-06  5.27E+00  2.17E+02
   110  1.462779992E-01  9.065084846E-07  2.32E-12  1.98E-08  4.62E-07  5.54E+00  1.38E+04

   Itn   abs(x(1))          norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
   120  1.462774953E-01  9.065053560E-07  2.32E-12  1.98E-08  4.43E-07  5.77E+00  5.59E+04
   130  1.460922976E-01  9.053555111E-07  2.32E-12  1.98E-08  4.25E-07  6.03E+00  6.63E+02
   140  9.781660268E-04  9.287480910E-09  1.60E-13  2.03E-10  2.76E-06  6.25E+00  1.02E+03
   150  3.900331307E-04  8.252124045E-09  6.23E-14  1.80E-10  1.16E-06  6.52E+00  1.02E+03
   160  2.849133821E-04  8.226178185E-09  5.64E-16  1.79E-10  1.01E-08  6.75E+00  1.02E+03
   170  2.849086689E-04  8.226177839E-09  3.89E-16  1.79E-10  6.79E-09  6.97E+00  1.02E+03
   180  2.849043796E-04  8.226177736E-09  6.58E-19  1.79E-10  1.11E-11  7.18E+00  1.02E+03
   190  2.849043796E-04  8.226177736E-09  1.15E-19  1.79E-10  1.90E-12  7.33E+00  1.02E+03
   200  2.849043796E-04  8.226177736E-09  1.15E-19  1.79E-10  1.86E-12  7.50E+00  1.67E+04
   210  2.849043774E-04  8.226177736E-09  1.68E-20  1.79E-10  2.65E-13  7.69E+00  1.02E+03
   219  2.849043773E-04  8.226177736E-09  1.51E-23  1.79E-10  2.32E-16  7.88E+00  1.02E+03

 Exit  LSMR.       istop  = 3               itn    =     219
 Exit  LSMR.       normA  = 7.87705E+00     condA  = 1.02466E+03
 Exit  LSMR.       normb  = 4.58390E+01     normx  = 8.22618E+01
 Exit  LSMR.       normr  = 8.22618E-09     normAr = 1.50581E-23
 Exit  LSMR.       The estimate of cond(Abar) has exceeded conlim       


 Enter xcheck.     Does x solve Ax = b, etc?
    damp            = 1.000E-10
    norm(x)         = 8.226E+01
    norm(r)         = 2.66353085E-14 = rho1
    norm(A'r)       = 1.900E-14      = sigma1

    norm(s)         = 2.664E-04
    norm(x,s)       = 8.226E+01
    norm(rbar)      = 8.22617774E-09 = rho2
    norm(Abar'rbar) = 1.900E-14      = sigma2

    inform          = 1
    tol             = 1.490E-08
    test1           = 3.839E-17 (Ax = b)
    test2           = 9.057E-02 (least-squares)
    test3           = 2.932E-07 (damped least-squares)

 Solution  abs(x):
     1  0.284904E-03     2  0.142542         3  0.285353         4  0.428713    
     5  0.572613         6  0.717043         7  0.861993         8   1.00745    

 LSMR  appears to be successful.
 Relative error in  x  =  6.17E-12


 --------------------------------------------------------------------
 Least-Squares Test Problem      P(  100  200    4    5    1.00E-11 )
 Condition no. =  9.7656E+06     Residual function =  5.242847292E-16
 --------------------------------------------------------------------


 Enter Acheck.
 Aprod1, Aprod2 seem OK.  Relative error =   8.4E-16


 Enter LSMR.       Least-squares solution of  Ax = b
 The matrix  A  has    100 rows   and    200 columns
 damp   =  9.99999996004197E-12
 atol   =  3.18E-16               conlim =  9.77E+09
 btol   =  3.18E-16               itnlim =      1400
 localSize (no. of vectors for local reorthogonalization) =      0

   Itn   abs(x(1))          norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
     0  0.000000000E+00  0.000000000E+00  4.29E+01  3.52E+01  1.00E+00  1.91E-02
     1  2.615586123E+00  1.851021576E+01  1.00E+01  4.31E-01  5.98E-01  9.06E-01  1.10E+00
     2  3.503863209E+00  1.097307434E+01  4.26E+00  2.56E-01  3.29E-01  1.18E+00  1.48E+00
     3  3.804949686E+00  7.309046298E+00  2.13E+00  1.70E-01  2.15E-01  1.35E+00  1.88E+00
     4  3.821857845E+00  5.138476203E+00  1.15E+00  1.20E-01  1.52E-01  1.47E+00  2.35E+00
     5  3.673084666E+00  3.706451579E+00  6.49E-01  8.64E-02  1.13E-01  1.55E+00  2.94E+00
     6  3.415296354E+00  2.699975015E+00  3.71E-01  6.29E-02  8.56E-02  1.60E+00  3.71E+00
     7  3.080841573E+00  1.966065594E+00  2.11E-01  4.58E-02  6.56E-02  1.63E+00  4.72E+00
     8  2.692191291E+00  1.420575044E+00  1.18E-01  3.31E-02  5.03E-02  1.65E+00  6.09E+00
     9  2.268174287E+00  1.012515506E+00  6.45E-02  2.36E-02  3.83E-02  1.66E+00  7.98E+00
    10  1.826659595E+00  7.082320284E-01  3.40E-02  1.65E-02  2.88E-02  1.67E+00  1.06E+01
    20  4.469674157E-02  7.402665159E-02  5.90E-04  1.73E-03  3.50E-03  2.28E+00  3.34E+01
    30  4.214283802E-01  1.443184953E-02  4.57E-05  3.36E-04  1.14E-03  2.77E+00  1.78E+02
    40  4.661540081E-01  3.931885990E-03  2.91E-06  9.16E-05  2.30E-04  3.22E+00  4.68E+02
    50  4.247211179E-01  1.340493033E-03  4.12E-07  3.12E-05  8.52E-05  3.61E+00  1.47E+03
    60  3.523607668E-01  3.508035148E-04  3.91E-08  8.17E-06  2.77E-05  4.02E+00  4.43E+02
    70  2.728232417E-01  6.223951743E-05  8.30E-09  1.45E-06  3.07E-05  4.34E+00  6.05E+02
    80  2.685619120E-01  5.953381483E-05  1.48E-09  1.39E-06  5.38E-06  4.61E+00  1.21E+03
    90  2.683723671E-01  5.938354316E-05  1.48E-09  1.38E-06  5.09E-06  4.88E+00  6.05E+02
   100  1.938878161E-01  4.380043604E-06  1.51E-11  1.02E-07  6.71E-07  5.15E+00  6.05E+02
   110  1.938868619E-01  4.380026593E-06  1.44E-11  1.02E-07  6.06E-07  5.40E+00  6.05E+02

   Itn   abs(x(1))          norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
   120  1.938388534E-01  4.375568033E-06  1.43E-11  1.02E-07  5.81E-07  5.64E+00  6.05E+02
   130  1.918404747E-01  4.189968406E-06  1.40E-11  9.76E-08  5.73E-07  5.85E+00  6.69E+02
   140  1.467313491E-01  3.638068148E-08  7.86E-14  8.48E-10  3.56E-07  6.07E+00  6.05E+02
   150  1.467300138E-01  3.638043399E-08  1.89E-14  8.48E-10  8.21E-08  6.33E+00  6.05E+02
   160  1.467299237E-01  3.638038831E-08  3.72E-15  8.48E-10  1.57E-08  6.53E+00  2.41E+03
   170  1.467299230E-01  3.638038815E-08  3.72E-15  8.48E-10  1.52E-08  6.73E+00  1.73E+04
   180  1.467298291E-01  3.638036483E-08  3.72E-15  8.48E-10  1.48E-08  6.91E+00  3.37E+04
   190  1.467297803E-01  3.638035273E-08  3.72E-15  8.48E-10  1.44E-08  7.10E+00  1.20E+05
   200  1.461156592E-01  3.622786874E-08  3.72E-15  8.44E-10  1.41E-08  7.28E+00  7.52E+03
   210  1.344536448E-01  3.333230201E-08  3.56E-15  7.77E-10  1.43E-08  7.46E+00  6.84E+02
   220  2.587830338E-03  1.002034084E-09  4.67E-16  2.34E-11  6.10E-08  7.64E+00  6.05E+02
   230  1.479374026E-03  8.745487148E-10  3.36E-16  2.04E-11  4.91E-08  7.83E+00  6.05E+02
   240  2.993457851E-04  8.226255882E-10  3.70E-17  1.92E-11  5.65E-09  7.96E+00  6.05E+02
   250  2.849227888E-04  8.226177593E-10  1.27E-18  1.92E-11  1.88E-10  8.16E+00  6.05E+02
   260  2.849060376E-04  8.226177593E-10  1.19E-19  1.92E-11  1.74E-11  8.33E+00  6.05E+02
   270  2.849058872E-04  8.226177593E-10  2.67E-21  1.92E-11  3.83E-13  8.47E+00  6.05E+02
   280  2.849058872E-04  8.226177593E-10  2.67E-21  1.92E-11  3.76E-13  8.63E+00  6.03E+04
   290  2.849058872E-04  8.226177593E-10  2.66E-21  1.92E-11  3.69E-13  8.78E+00  9.28E+02
   300  2.849058870E-04  8.226177593E-10  2.63E-21  1.92E-11  3.59E-13  8.92E+00  3.82E+03
   310  2.849058870E-04  8.226177593E-10  2.63E-21  1.92E-11  3.53E-13  9.07E+00  1.41E+04

   Itn   abs(x(1))          norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
   320  2.849058796E-04  8.226177593E-10  7.05E-24  1.92E-11  9.29E-16  9.22E+00  6.05E+02
   326  2.849058796E-04  8.226177593E-10  2.36E-24  1.92E-11  3.10E-16  9.28E+00  6.05E+02

 Exit  LSMR.       istop  = 3               itn    =     326
 Exit  LSMR.       normA  = 9.28242E+00     condA  = 6.04800E+02
 Exit  LSMR.       normb  = 4.29122E+01     normx  = 8.22618E+01
 Exit  LSMR.       normr  = 8.22618E-10     normAr = 2.36337E-24
 Exit  LSMR.       The estimate of cond(Abar) has exceeded conlim       


 Enter xcheck.     Does x solve Ax = b, etc?
    damp            = 1.000E-11
    norm(x)         = 8.226E+01
    norm(r)         = 4.77382542E-14 = rho1
    norm(A'r)       = 3.963E-14      = sigma1

    norm(s)         = 4.774E-03
    norm(x,s)       = 8.226E+01
    norm(rbar)      = 8.22617761E-10 = rho2
    norm(Abar'rbar) = 3.963E-14      = sigma2

    inform          = 1
    tol             = 1.490E-08
    test1           = 5.919E-17 (Ax = b)
    test2           = 8.944E-02 (least-squares)
    test3           = 5.190E-06 (damped least-squares)

 Solution  abs(x):
     1  0.284906E-03     2  0.142542         3  0.285353         4  0.428713    
     5  0.572613         6  0.717043         7  0.861993         8   1.00745    

 LSMR  appears to be successful.
 Relative error in  x  =  7.81E-11


 --------------------------------------------------------------------
 Least-Squares Test Problem      P(  100  200    4    6    1.00E-12 )
 Condition no. =  2.4414E+08     Residual function =  1.306072055E-16
 --------------------------------------------------------------------


 Enter Acheck.
 Aprod1, Aprod2 seem OK.  Relative error =   7.0E-16


 Enter LSMR.       Least-squares solution of  Ax = b
 The matrix  A  has    100 rows   and    200 columns
 damp   =  9.99999996004197E-13
 atol   =  3.18E-16               conlim =  2.44E+11
 btol   =  3.18E-16               itnlim =      1400
 localSize (no. of vectors for local reorthogonalization) =      0

   Itn   abs(x(1))          norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
     0  0.000000000E+00  0.000000000E+00  4.07E+01  3.36E+01  1.00E+00  2.03E-02
     1  2.397095752E+00  1.770849869E+01  9.47E+00  4.36E-01  5.85E-01  9.14E-01  1.09E+00
     2  3.344276506E+00  1.045059523E+01  3.91E+00  2.57E-01  3.18E-01  1.18E+00  1.50E+00
     3  3.768204481E+00  6.859319202E+00  1.88E+00  1.69E-01  2.05E-01  1.34E+00  1.97E+00
     4  3.912776302E+00  4.710588048E+00  9.63E-01  1.16E-01  1.42E-01  1.44E+00  2.56E+00
     5  3.873736998E+00  3.292769659E+00  5.06E-01  8.10E-02  1.03E-01  1.50E+00  3.36E+00
     6  3.698111790E+00  2.307304476E+00  2.65E-01  5.68E-02  7.51E-02  1.53E+00  4.44E+00
     7  3.414983343E+00  1.604997139E+00  1.37E-01  3.95E-02  5.51E-02  1.55E+00  5.96E+00
     8  3.047484714E+00  1.100632991E+00  6.90E-02  2.71E-02  4.02E-02  1.56E+00  8.14E+00
     9  2.617811651E+00  7.399273014E-01  3.34E-02  1.82E-02  2.88E-02  1.57E+00  1.13E+01
    10  2.149017727E+00  4.852290938E-01  1.54E-02  1.19E-02  2.03E-02  1.57E+00  1.61E+01
    20  3.557075742E-01  6.273062997E-02  3.65E-04  1.54E-03  2.65E-03  2.19E+00  7.19E+01
    30  2.328788475E-01  1.477210929E-02  2.89E-05  3.63E-04  6.86E-04  2.85E+00  1.97E+02
    40  4.578893166E-01  2.954721759E-03  1.32E-06  7.27E-05  1.39E-04  3.21E+00  1.35E+02
    50  4.717195589E-01  1.020358634E-03  1.86E-07  2.51E-05  5.12E-05  3.56E+00  7.59E+02
    60  4.373720806E-01  3.227630847E-04  7.29E-08  7.94E-06  5.81E-05  3.89E+00  4.21E+03
    70  4.314370833E-01  2.854964098E-04  1.79E-08  7.02E-06  1.45E-05  4.32E+00  4.21E+03
    80  3.572571403E-01  5.887134596E-05  9.80E-10  1.45E-06  3.63E-06  4.59E+00  4.21E+03
    90  3.562424134E-01  5.819043290E-05  9.74E-10  1.43E-06  3.46E-06  4.84E+00  4.21E+03
   100  2.709300058E-01  7.354573062E-06  2.68E-11  1.81E-07  7.18E-07  5.08E+00  4.21E+03
   110  2.709080502E-01  7.354454053E-06  2.20E-11  1.81E-07  5.55E-07  5.38E+00  4.21E+03

   Itn   abs(x(1))          norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
   120  2.709073158E-01  7.354393567E-06  2.19E-11  1.81E-07  5.33E-07  5.60E+00  6.56E+03
   130  2.367490872E-01  4.082090460E-06  1.63E-11  1.00E-07  6.88E-07  5.81E+00  4.21E+03
   140  1.962109021E-01  3.949655171E-07  3.38E-12  9.71E-09  1.43E-06  6.01E+00  4.21E+03
   150  1.943904192E-01  3.541275823E-07  9.29E-14  8.71E-09  4.18E-08  6.28E+00  1.68E+04
   160  1.943904190E-01  3.541275808E-07  9.29E-14  8.71E-09  4.06E-08  6.47E+00  2.32E+04
   170  1.943903217E-01  3.541268638E-07  9.28E-14  8.71E-09  3.94E-08  6.65E+00  2.60E+05
   180  1.938378769E-01  3.500125612E-07  9.23E-14  8.61E-09  3.87E-08  6.81E+00  4.21E+03
   190  1.917437329E-01  3.344166810E-07  9.02E-14  8.23E-09  3.83E-08  7.05E+00  4.21E+03
   200  1.885869922E-01  3.109077648E-07  8.70E-14  7.65E-09  3.87E-08  7.22E+00  4.21E+03
   210  1.468398659E-01  1.458257688E-09  1.93E-16  3.59E-11  1.79E-08  7.38E+00  4.21E+03
   220  1.468397851E-01  1.458257150E-09  1.50E-16  3.59E-11  1.36E-08  7.54E+00  4.21E+03
   230  1.468396636E-01  1.458256835E-09  2.09E-17  3.59E-11  1.85E-09  7.75E+00  4.21E+03
   240  1.468396514E-01  1.458256262E-09  6.17E-18  3.59E-11  5.32E-10  7.95E+00  4.21E+03
   250  1.468396514E-01  1.458256261E-09  5.96E-18  3.59E-11  5.06E-10  8.09E+00  4.21E+03
   260  1.468396514E-01  1.458256261E-09  5.96E-18  3.59E-11  4.97E-10  8.23E+00  3.68E+04
   270  1.468396513E-01  1.458256261E-09  5.96E-18  3.59E-11  4.86E-10  8.42E+00  5.32E+03
   280  1.468396513E-01  1.458256260E-09  5.96E-18  3.59E-11  4.78E-10  8.56E+00  2.97E+05
   290  1.468395263E-01  1.458255021E-09  5.96E-18  3.59E-11  4.70E-10  8.70E+00  5.63E+03
   300  1.468365409E-01  1.458225409E-09  5.96E-18  3.59E-11  4.63E-10  8.84E+00  4.21E+03
   310  1.468365358E-01  1.458225359E-09  5.96E-18  3.59E-11  4.54E-10  9.01E+00  7.80E+04

   Itn   abs(x(1))          norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
   320  1.468365092E-01  1.458225095E-09  5.96E-18  3.59E-11  4.47E-10  9.15E+00  3.85E+07
   330  1.468349759E-01  1.458209887E-09  5.96E-18  3.59E-11  4.40E-10  9.28E+00  4.99E+04
   340  1.468346322E-01  1.458206477E-09  5.96E-18  3.59E-11  4.35E-10  9.40E+00  2.93E+04
   350  1.160773128E-01  1.153266127E-09  5.30E-18  2.84E-11  4.80E-10  9.57E+00  2.93E+04
   360  2.876606266E-04  8.226178089E-11  2.56E-20  2.02E-12  3.21E-11  9.69E+00  2.93E+04
   370  2.849956966E-04  8.226177651E-11  3.10E-21  2.02E-12  3.83E-12  9.84E+00  2.93E+04
   380  2.849952550E-04  8.226177651E-11  3.08E-21  2.02E-12  3.76E-12  9.96E+00  1.04E+05
   390  2.849849635E-04  8.226177651E-11  2.65E-21  2.02E-12  3.18E-12  1.01E+01  2.93E+04
   400  2.849840115E-04  8.226177651E-11  2.60E-21  2.02E-12  3.09E-12  1.02E+01  2.93E+04
   410  2.849827906E-04  8.226177651E-11  2.54E-21  2.02E-12  2.99E-12  1.04E+01  1.01E+05
   420  2.849827905E-04  8.226177651E-11  2.54E-21  2.02E-12  2.95E-12  1.05E+01  6.82E+04
   430  2.849827796E-04  8.226177651E-11  2.54E-21  2.02E-12  2.92E-12  1.06E+01  2.93E+04
   440  2.849627725E-04  8.226177598E-11  1.34E-21  2.02E-12  1.52E-12  1.07E+01  2.93E+04
   450  2.849550636E-04  8.226177593E-11  3.29E-23  2.02E-12  3.69E-14  1.08E+01  2.93E+04
   459  2.849550590E-04  8.226177593E-11  2.65E-25  2.02E-12  2.94E-16  1.10E+01  2.93E+04

 Exit  LSMR.       istop  = 3               itn    =     459
 Exit  LSMR.       normA  = 1.09517E+01     condA  = 2.92808E+04
 Exit  LSMR.       normb  = 4.06573E+01     normx  = 8.22618E+01
 Exit  LSMR.       normr  = 8.22618E-11     normAr = 2.64969E-25
 Exit  LSMR.       The estimate of cond(Abar) has exceeded conlim       


 Enter xcheck.     Does x solve Ax = b, etc?
    damp            = 1.000E-12
    norm(x)         = 8.226E+01
    norm(r)         = 5.47653765E-14 = rho1
    norm(A'r)       = 4.680E-14      = sigma1

    norm(s)         = 5.477E-02
    norm(x,s)       = 8.226E+01
    norm(rbar)      = 8.22617942E-11 = rho2
    norm(Abar'rbar) = 4.680E-14      = sigma2

    inform          = 1
    tol             = 1.490E-08
    test1           = 5.816E-17 (Ax = b)
    test2           = 7.803E-02 (least-squares)
    test3           = 5.195E-05 (damped least-squares)

 Solution  abs(x):
     1  0.284955E-03     2  0.142542         3  0.285354         4  0.428713    
     5  0.572613         6  0.717043         7  0.861993         8   1.00745    

 LSMR  appears to be successful.
 Relative error in  x  =  2.49E-09


 --------------------------------------------------------------------
 Least-Squares Test Problem      P(  100  200    4    6    1.00E-12 )
 Condition no. =  2.4414E+08     Residual function =  1.306072055E-16
 --------------------------------------------------------------------


 Enter Acheck.
 Aprod1, Aprod2 seem OK.  Relative error =   7.0E-16


 Enter LSMR.       Least-squares solution of  Ax = b
 The matrix  A  has    100 rows   and    200 columns
 damp   =  9.99999996004197E-13
 atol   =  3.18E-16               conlim =  2.44E+11
 btol   =  3.18E-16               itnlim =      1400
 localSize (no. of vectors for local reorthogonalization) =     10

   Itn   abs(x(1))          norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
     0  0.000000000E+00  0.000000000E+00  4.07E+01  3.36E+01  1.00E+00  2.03E-02
     1  2.397095752E+00  1.770849869E+01  9.47E+00  4.36E-01  5.85E-01  9.14E-01  1.09E+00
     2  3.344276506E+00  1.045059523E+01  3.91E+00  2.57E-01  3.18E-01  1.18E+00  1.50E+00
     3  3.768204481E+00  6.859319202E+00  1.88E+00  1.69E-01  2.05E-01  1.34E+00  1.97E+00
     4  3.912776302E+00  4.710588048E+00  9.63E-01  1.16E-01  1.42E-01  1.44E+00  2.56E+00
     5  3.873736998E+00  3.292769659E+00  5.06E-01  8.10E-02  1.03E-01  1.50E+00  3.36E+00
     6  3.698111790E+00  2.307304476E+00  2.65E-01  5.68E-02  7.51E-02  1.53E+00  4.44E+00
     7  3.414983343E+00  1.604997139E+00  1.37E-01  3.95E-02  5.51E-02  1.55E+00  5.96E+00
     8  3.047484714E+00  1.100632991E+00  6.90E-02  2.71E-02  4.02E-02  1.56E+00  8.14E+00
     9  2.617811631E+00  7.399273014E-01  3.34E-02  1.82E-02  2.88E-02  1.57E+00  1.13E+01
    10  2.149016317E+00  4.852277905E-01  1.54E-02  1.19E-02  2.03E-02  1.57E+00  1.61E+01
    20  3.556910137E-01  6.272855146E-02  3.65E-04  1.54E-03  2.65E-03  2.20E+00  5.83E+01
    30  2.707926651E-01  1.207208574E-02  2.50E-05  2.97E-04  7.34E-04  2.82E+00  1.08E+02
    40  4.578917677E-01  2.954666151E-03  1.32E-06  7.27E-05  1.39E-04  3.21E+00  1.75E+03
    50  4.717196562E-01  1.020358617E-03  1.86E-07  2.51E-05  5.13E-05  3.56E+00  7.42E+02
    60  4.316034430E-01  2.859774362E-04  1.91E-08  7.03E-06  1.69E-05  3.94E+00  7.42E+02
    70  4.308720305E-01  2.834155214E-04  1.78E-08  6.97E-06  1.48E-05  4.24E+00  1.85E+03
    80  3.572578146E-01  5.887137719E-05  9.81E-10  1.45E-06  3.62E-06  4.60E+00  7.42E+02
    90  3.572511731E-01  5.886735857E-05  9.80E-10  1.45E-06  3.42E-06  4.86E+00  4.43E+04
   100  3.470814798E-01  5.205587444E-05  9.20E-10  1.28E-06  3.47E-06  5.10E+00  7.42E+02
   110  2.710576671E-01  7.355554214E-06  4.63E-11  1.81E-07  1.17E-06  5.37E+00  7.42E+02

   Itn   abs(x(1))          norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
   120  2.709081193E-01  7.354324898E-06  2.23E-11  1.81E-07  5.43E-07  5.59E+00  7.42E+02
   130  2.709048473E-01  7.354156153E-06  2.19E-11  1.81E-07  5.07E-07  5.88E+00  1.56E+05
   140  2.185267612E-01  2.344918146E-06  1.23E-11  5.77E-08  8.63E-07  6.09E+00  2.01E+03
   150  2.158871995E-01  2.094885318E-06  1.16E-11  5.15E-08  8.85E-07  6.27E+00  2.01E+03
   160  1.944974922E-01  3.545236393E-07  8.37E-13  8.72E-09  3.63E-07  6.51E+00  2.01E+03
   170  1.944951072E-01  3.545146177E-07  8.28E-13  8.72E-09  3.49E-07  6.69E+00  2.01E+03
   180  1.944584828E-01  3.542911015E-07  6.71E-13  8.71E-09  2.74E-07  6.91E+00  2.01E+03
   190  1.943896003E-01  3.541209562E-07  9.42E-14  8.71E-09  3.76E-08  7.08E+00  2.01E+03
   200  1.943895452E-01  3.541208487E-07  9.28E-14  8.71E-09  3.61E-08  7.26E+00  2.01E+03
   210  1.943895442E-01  3.541208415E-07  9.28E-14  8.71E-09  3.52E-08  7.45E+00  2.36E+04
   220  1.941761784E-01  3.525360936E-07  9.26E-14  8.67E-09  3.45E-08  7.61E+00  2.01E+03
   230  1.941744831E-01  3.525235033E-07  9.26E-14  8.67E-09  3.36E-08  7.81E+00  1.25E+05
   240  1.941742220E-01  3.525215588E-07  9.26E-14  8.67E-09  3.30E-08  7.96E+00  2.78E+04
   250  1.765309356E-01  2.211276796E-07  7.33E-14  5.44E-09  4.09E-08  8.12E+00  5.34E+03
   260  1.681240095E-01  1.585202239E-07  6.21E-14  3.90E-09  4.74E-08  8.26E+00  2.01E+03
   270  1.469996980E-01  1.885935181E-09  5.39E-15  4.64E-11  3.39E-07  8.43E+00  2.01E+03
   280  1.469753551E-01  1.776784794E-09  4.96E-15  4.37E-11  3.26E-07  8.58E+00  4.09E+03
   290  1.469070591E-01  1.543330417E-09  3.50E-15  3.80E-11  2.59E-07  8.77E+00  2.01E+03
   300  1.468394783E-01  1.458383282E-09  7.01E-17  3.59E-11  5.40E-09  8.90E+00  2.01E+03
   310  1.468394696E-01  1.458383274E-09  5.78E-17  3.59E-11  4.39E-09  9.04E+00  7.35E+03

   Itn   abs(x(1))          norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
   320  1.468394696E-01  1.458383272E-09  5.78E-17  3.59E-11  4.30E-09  9.22E+00  3.29E+05
   330  1.468394695E-01  1.458383184E-09  5.78E-17  3.59E-11  4.24E-09  9.35E+00  1.61E+04
   340  1.468393749E-01  1.458253518E-09  6.00E-18  3.59E-11  4.33E-10  9.49E+00  2.01E+03
   350  1.468393749E-01  1.458253518E-09  5.99E-18  3.59E-11  4.25E-10  9.65E+00  4.93E+04
   360  1.468393749E-01  1.458253518E-09  5.98E-18  3.59E-11  4.19E-10  9.79E+00  2.37E+04
   370  1.468393748E-01  1.458253517E-09  5.98E-18  3.59E-11  4.14E-10  9.91E+00  3.59E+04
   380  1.468393687E-01  1.458253456E-09  5.97E-18  3.59E-11  4.08E-10  1.00E+01  2.01E+03
   390  1.468393677E-01  1.458253446E-09  5.97E-18  3.59E-11  4.01E-10  1.02E+01  2.01E+03
   400  1.468393677E-01  1.458253446E-09  5.97E-18  3.59E-11  3.96E-10  1.03E+01  1.58E+04
   410  1.468393658E-01  1.458253427E-09  5.96E-18  3.59E-11  3.92E-10  1.04E+01  2.01E+03
   420  1.468393655E-01  1.458253424E-09  5.96E-18  3.59E-11  3.87E-10  1.06E+01  3.05E+06
   430  1.468357413E-01  1.458217476E-09  5.96E-18  3.59E-11  3.82E-10  1.07E+01  2.01E+03
   440  1.468348586E-01  1.458208722E-09  5.96E-18  3.59E-11  3.77E-10  1.08E+01  2.43E+04
   450  1.468344865E-01  1.458205031E-09  5.96E-18  3.59E-11  3.74E-10  1.09E+01  1.82E+04
   460  8.728388286E-02  8.681888616E-10  4.59E-18  2.14E-11  4.78E-10  1.11E+01  2.25E+03
   470  3.383798511E-02  3.433301601E-10  2.85E-18  8.44E-12  7.42E-10  1.12E+01  4.76E+03
   480  2.332316093E-03  8.473917052E-11  7.05E-19  2.08E-12  7.33E-10  1.13E+01  2.25E+03
   490  2.328807224E-03  8.473081043E-11  7.04E-19  2.08E-12  7.27E-10  1.14E+01  1.31E+04
   500  1.642642783E-03  8.336042246E-11  5.74E-19  2.05E-12  5.96E-10  1.16E+01  3.98E+04
   510  1.642484777E-03  8.336016848E-11  5.74E-19  2.05E-12  5.91E-10  1.17E+01  2.25E+03

   Itn   abs(x(1))          norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
   520  1.510315858E-03  8.315781544E-11  5.45E-19  2.05E-12  5.56E-10  1.18E+01  2.25E+03
   530  1.480825991E-03  8.311542944E-11  5.39E-19  2.04E-12  5.44E-10  1.19E+01  2.67E+04
   540  1.479623289E-03  8.311372223E-11  5.38E-19  2.04E-12  5.39E-10  1.20E+01  7.67E+03
   550  1.479487435E-03  8.311352949E-11  5.38E-19  2.04E-12  5.34E-10  1.21E+01  1.65E+05
   560  2.912549965E-04  8.226181145E-11  3.91E-20  2.02E-12  3.89E-11  1.22E+01  2.25E+03
   570  2.854952821E-04  8.226178776E-11  1.15E-20  2.02E-12  1.13E-11  1.24E+01  2.25E+03
   580  2.854952543E-04  8.226178776E-11  1.15E-20  2.02E-12  1.12E-11  1.25E+01  1.54E+04
   590  2.854916701E-04  8.226178776E-11  1.15E-20  2.02E-12  1.11E-11  1.26E+01  2.25E+03
   600  2.854915992E-04  8.226178776E-11  1.15E-20  2.02E-12  1.10E-11  1.27E+01  3.13E+03
   610  2.854915977E-04  8.226178776E-11  1.15E-20  2.02E-12  1.09E-11  1.28E+01  1.12E+04
   620  2.854915927E-04  8.226178776E-11  1.15E-20  2.02E-12  1.08E-11  1.29E+01  7.30E+04
   630  2.854915876E-04  8.226178776E-11  1.15E-20  2.02E-12  1.07E-11  1.30E+01  1.57E+04
   640  2.854915832E-04  8.226178776E-11  1.15E-20  2.02E-12  1.07E-11  1.31E+01  4.24E+04
   650  2.849612208E-04  8.226177594E-11  1.30E-21  2.02E-12  1.19E-12  1.32E+01  2.25E+03
   660  2.849544354E-04  8.226177593E-11  1.26E-22  2.02E-12  1.16E-13  1.33E+01  1.06E+04
   670  2.849543747E-04  8.226177593E-11  3.33E-23  2.02E-12  3.02E-14  1.34E+01  2.25E+03
   680  2.849543746E-04  8.226177593E-11  3.32E-23  2.02E-12  3.00E-14  1.35E+01  2.25E+03
   690  2.849543724E-04  8.226177593E-11  2.34E-23  2.02E-12  2.10E-14  1.36E+01  2.25E+03
   700  2.849543702E-04  8.226177593E-11  3.47E-24  2.02E-12  3.08E-15  1.37E+01  2.25E+03
   710  2.849543701E-04  8.226177593E-11  1.43E-24  2.02E-12  1.26E-15  1.38E+01  3.71E+03

   Itn   abs(x(1))          norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
   720  2.849543701E-04  8.226177593E-11  1.34E-24  2.02E-12  1.17E-15  1.39E+01  9.99E+04
   730  2.849543701E-04  8.226177593E-11  1.33E-24  2.02E-12  1.16E-15  1.40E+01  1.04E+04
   740  2.849543701E-04  8.226177593E-11  1.33E-24  2.02E-12  1.15E-15  1.41E+01  2.54E+03
   750  2.849543701E-04  8.226177593E-11  1.23E-24  2.02E-12  1.06E-15  1.42E+01  2.25E+03
   755  2.849543701E-04  8.226177593E-11  2.76E-25  2.02E-12  2.36E-16  1.42E+01  2.25E+03

 Exit  LSMR.       istop  = 3               itn    =     755
 Exit  LSMR.       normA  = 1.42125E+01     condA  = 2.24793E+03
 Exit  LSMR.       normb  = 4.06573E+01     normx  = 8.22618E+01
 Exit  LSMR.       normr  = 8.22618E-11     normAr = 2.76239E-25
 Exit  LSMR.       The estimate of cond(Abar) has exceeded conlim       


 Enter xcheck.     Does x solve Ax = b, etc?
    damp            = 1.000E-12
    norm(x)         = 8.226E+01
    norm(r)         = 4.79757192E-14 = rho1
    norm(A'r)       = 3.067E-14      = sigma1

    norm(s)         = 4.798E-02
    norm(x,s)       = 8.226E+01
    norm(rbar)      = 8.22617899E-11 = rho2
    norm(Abar'rbar) = 3.067E-14      = sigma2

    inform          = 1
    tol             = 1.490E-08
    test1           = 3.966E-17 (Ax = b)
    test2           = 4.498E-02 (least-squares)
    test3           = 2.623E-05 (damped least-squares)

 Solution  abs(x):
     1  0.284954E-03     2  0.142542         3  0.285354         4  0.428713    
     5  0.572613         6  0.717043         7  0.861993         8   1.00745    

 LSMR  appears to be successful.
 Relative error in  x  =  2.42E-09
  
 zlsmr tests on MM CCH examples


----------------------------------------
 Test of zLSMR on an MM CCH matrix 
----------------------------------------


----------------------------------------
 Test of zLSMR on an MM CCH matrix 
----------------------------------------
29 June 2013   7:36:39.581 PM
 
lsmrReadMtxModule::ReadMtxSize():
  Reading ./qc324CCH.mtx
  using the MM_IO library.
 
MM_HEADER_PRINT:
  Header information from Matrix Market file "./qc324CCH.mtx".
 
  Matrix Market ID = "%%MatrixMarket".
    "%%MatrixMarket" is only allowed value.
 
  Matrix Market TYPE = "matrix".
    "matrix" is only allowed value.
 
  Representation type REP = "coordinate".
    "coordinate" for sparse matrices,
    "array"      for dense matrices,
    "elemental"  for unassembled finite element matrices.
 
  Numeric FIELD = "complex".
    "integer" for integer values,
    "real"    for real values,
    "double"  for double precision real values,
    "complex" for complex values,
    "pattern" for nonzero pattern only.
 
  Symmetry type SYMM = "hermitian".
    "general"         no symmetry,
    "symmetric"       A(I,J) = A(J,I),
                      input only lower triangle.
    "skew-symmetric"  A(I,J) = - A(J,I),
                      input only strict lower triangle.
    "Hermitian"       A(I,J) = A*(J,I),
                      input only lower triangle.
 
MM_SIZE_PRINT:
  Size information from Matrix Market file "./qc324CCH.mtx".
 
 
  Number of rows    NROW =      324
  Number of columns NCOL =      324
  Declared number of nonzeros NNZ =    13527
 
  Sparse array storage by coordinate.
  Listing entries        1 through       10
 
   1         1       1  0.390788     -0.508599E-01
   2         2       1 -0.639345E-01  0.103177E-01
   3         3       1  0.159716E-01 -0.257748E-02
   4         4       1 -0.708951E-02  0.114410E-02
   5         5       1  0.398074E-02 -0.642410E-03
   6         6       1 -0.254178E-02  0.410191E-03
   7         7       1  0.176006E-02 -0.284038E-03
   8         8       1 -0.128866E-02  0.207963E-03
   9         9       1  0.982645E-03 -0.158579E-03
  10        10       1 -0.772781E-03  0.124711E-03
 consis     =  T
 input_file = ./qc324CCH.mtx
 n =          324   nnz =        13527
  
 norm(b) =   6.2188319369142944     
 Some of the x defining b
           1 ( 3.08641975308641958E-003, 3.08641975308641958E-003)
           2 ( 6.17283950617283916E-003, 6.17283950617283916E-003)
           3 ( 9.25925925925925875E-003, 9.25925925925925875E-003)
           4 ( 1.23456790123456783E-002, 1.23456790123456783E-002)
           5 ( 1.54320987654320979E-002, 1.54320987654320979E-002)
 Some of b
           1 (-1.00573997533058845E-002,-1.44076001742365605E-002)
           2 ( 3.61585023406508924E-003, 4.44654674872942135E-003)
           3 ( 1.41740871674772844E-004,-3.26106932633761937E-004)
           4 ( 1.23087674093027449E-003, 1.33938308098969865E-003)
           5 (-1.53370127939571565E-004,-3.69715299653109190E-004)


 Enter LSMR.       Least-squares solution of  Ax = b
 The matrix  A  has    324 rows   and    324 columns
 damp   =  1.00000000000000E-06
 atol   =  1.00E-14               conlim =  1.00E+10
 btol   =  1.00E-14               itnlim =      2792
 localSize (no. of vectors for local reorthogonalization) =      0

   Itn   abs(x(1))          norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
     0  0.000000000E+00  0.000000000E+00  6.22E+00  3.29E+00  1.00E+00  8.51E-02
     1  8.100915138E-03  4.822721358E+00  2.32E+00  7.76E-01  6.63E-01  7.27E-01  1.38E+00
     2  2.125095765E-02  3.092950476E+00  1.55E+00  4.97E-01  3.59E-01  1.40E+00  1.53E+00
     3  3.376090880E-02  1.769041492E+00  7.86E-01  2.84E-01  2.36E-01  1.89E+00  1.24E+00
     4  3.877291257E-02  1.329409094E+00  4.58E-01  2.14E-01  1.61E-01  2.14E+00  1.36E+00
     5  4.095043728E-02  1.104470708E+00  3.50E-01  1.78E-01  1.37E-01  2.31E+00  1.81E+00
     6  4.365715044E-02  7.777054183E-01  2.23E-01  1.25E-01  1.13E-01  2.54E+00  1.97E+00
     7  4.450451322E-02  5.907292187E-01  1.30E-01  9.50E-02  8.24E-02  2.67E+00  1.88E+00
     8  4.416654116E-02  5.421082614E-01  1.01E-01  8.72E-02  6.72E-02  2.79E+00  1.84E+00
     9  4.243282388E-02  4.564676497E-01  7.84E-02  7.34E-02  5.89E-02  2.92E+00  3.21E+00
    10  4.067603917E-02  3.712543661E-01  6.29E-02  5.97E-02  5.69E-02  2.98E+00  3.54E+00
    20  2.972111234E-02  7.100695906E-02  5.16E-03  1.14E-02  1.95E-02  3.72E+00  3.42E+00
    30  2.310901046E-02  3.362257371E-02  1.56E-03  5.41E-03  1.08E-02  4.29E+00  7.16E+00
    40  1.957760583E-02  1.981054443E-02  6.74E-04  3.19E-03  6.89E-03  4.94E+00  7.00E+00
    50  1.768907678E-02  1.459217065E-02  3.77E-04  2.35E-03  4.76E-03  5.44E+00  1.10E+01
    60  1.568618572E-02  1.098869620E-02  1.85E-04  1.77E-03  2.87E-03  5.87E+00  1.22E+01
    70  1.492296009E-02  1.003227062E-02  1.45E-04  1.61E-03  2.25E-03  6.42E+00  1.14E+01
    80  1.355253919E-02  8.619859284E-03  1.01E-04  1.39E-03  1.72E-03  6.84E+00  5.28E+00
    90  1.266240396E-02  7.875758754E-03  7.74E-05  1.27E-03  1.37E-03  7.17E+00  9.12E+00
   100  1.195602549E-02  7.297198543E-03  6.41E-05  1.17E-03  1.16E-03  7.59E+00  1.88E+01
   110  1.112783605E-02  6.656896293E-03  5.08E-05  1.07E-03  9.56E-04  7.98E+00  1.86E+01

   Itn   abs(x(1))          norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
   120  1.059014562E-02  6.236454117E-03  4.25E-05  1.00E-03  8.22E-04  8.28E+00  1.50E+01
   130  1.025641121E-02  5.954409761E-03  3.81E-05  9.57E-04  7.40E-04  8.65E+00  2.80E+01
   140  9.884825637E-03  5.628109140E-03  3.44E-05  9.05E-04  6.76E-04  9.03E+00  1.59E+01
   150  9.408054688E-03  5.217280561E-03  2.98E-05  8.39E-04  6.21E-04  9.20E+00  2.12E+01
   160  9.147218240E-03  4.977506714E-03  2.74E-05  8.00E-04  5.72E-04  9.63E+00  1.99E+01
   170  8.745983175E-03  4.573653011E-03  2.40E-05  7.35E-04  5.32E-04  9.86E+00  2.91E+01
   180  8.494938152E-03  4.305102141E-03  2.19E-05  6.92E-04  5.02E-04  1.01E+01  1.81E+01
   190  8.294666712E-03  4.074774143E-03  2.03E-05  6.55E-04  4.79E-04  1.04E+01  2.82E+01
   200  8.089111383E-03  3.818095834E-03  1.87E-05  6.14E-04  4.57E-04  1.07E+01  2.42E+01
   210  7.883216690E-03  3.532457605E-03  1.70E-05  5.68E-04  4.41E-04  1.09E+01  2.35E+01
   220  7.741674734E-03  3.300051095E-03  1.58E-05  5.31E-04  4.26E-04  1.12E+01  2.73E+01
   230  7.465613595E-03  2.833316409E-03  1.29E-05  4.56E-04  3.98E-04  1.15E+01  2.53E+01
   240  7.359356479E-03  2.654878100E-03  1.17E-05  4.27E-04  3.77E-04  1.17E+01  2.21E+01
   250  7.263347871E-03  2.494545474E-03  1.05E-05  4.01E-04  3.52E-04  1.19E+01  2.97E+01
   260  7.188050438E-03  2.367125857E-03  9.55E-06  3.81E-04  3.31E-04  1.22E+01  3.28E+01
   270  7.124854423E-03  2.257447814E-03  8.78E-06  3.63E-04  3.14E-04  1.24E+01  1.50E+01
   280  7.055486193E-03  2.135821591E-03  7.92E-06  3.43E-04  2.94E-04  1.26E+01  2.90E+01
   290  6.988856752E-03  2.021694378E-03  7.07E-06  3.25E-04  2.72E-04  1.29E+01  1.73E+01
   300  6.934312657E-03  1.935493443E-03  6.34E-06  3.11E-04  2.50E-04  1.31E+01  2.00E+01
   310  6.888563680E-03  1.869594452E-03  5.74E-06  3.01E-04  2.31E-04  1.33E+01  2.69E+01

   Itn   abs(x(1))          norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
   320  6.855460122E-03  1.824220049E-03  5.34E-06  2.93E-04  2.16E-04  1.35E+01  2.57E+01
   330  6.826044440E-03  1.784964072E-03  5.02E-06  2.87E-04  2.05E-04  1.37E+01  4.34E+01
   340  6.796322129E-03  1.747523142E-03  4.76E-06  2.81E-04  1.96E-04  1.39E+01  2.44E+01
   350  6.749808784E-03  1.691474317E-03  4.41E-06  2.72E-04  1.84E-04  1.41E+01  4.32E+01
   360  6.716316995E-03  1.653877679E-03  4.18E-06  2.66E-04  1.76E-04  1.43E+01  3.87E+01
   370  6.678962479E-03  1.614821823E-03  3.95E-06  2.60E-04  1.69E-04  1.45E+01  2.62E+01
   380  6.620473158E-03  1.559730320E-03  3.62E-06  2.51E-04  1.58E-04  1.47E+01  3.62E+01
   390  6.580538862E-03  1.525951390E-03  3.40E-06  2.45E-04  1.49E-04  1.49E+01  1.74E+01
   400  6.545345556E-03  1.498715350E-03  3.24E-06  2.41E-04  1.43E-04  1.51E+01  2.67E+01
   410  6.511038603E-03  1.474388469E-03  3.11E-06  2.37E-04  1.38E-04  1.53E+01  4.59E+01
   420  6.482124153E-03  1.455381557E-03  3.02E-06  2.34E-04  1.34E-04  1.55E+01  5.77E+01
   430  6.449205536E-03  1.434944471E-03  2.94E-06  2.31E-04  1.31E-04  1.57E+01  2.25E+01
   440  6.393835069E-03  1.400778352E-03  2.83E-06  2.25E-04  1.28E-04  1.58E+01  4.14E+01
   450  6.358519912E-03  1.379011260E-03  2.76E-06  2.22E-04  1.25E-04  1.60E+01  4.93E+01
   460  6.294607072E-03  1.340319604E-03  2.65E-06  2.16E-04  1.22E-04  1.62E+01  5.15E+01
   470  6.262373246E-03  1.320830743E-03  2.59E-06  2.12E-04  1.20E-04  1.64E+01  4.48E+01
   480  6.207232262E-03  1.287231424E-03  2.51E-06  2.07E-04  1.18E-04  1.65E+01  4.96E+01
   490  6.155509562E-03  1.255766325E-03  2.44E-06  2.02E-04  1.16E-04  1.67E+01  3.19E+01
   500  6.061620912E-03  1.200202516E-03  2.31E-06  1.93E-04  1.14E-04  1.69E+01  3.55E+01
   510  5.899813787E-03  1.109979989E-03  2.08E-06  1.78E-04  1.10E-04  1.70E+01  2.46E+01

   Itn   abs(x(1))          norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
   520  5.795795233E-03  1.057364117E-03  1.92E-06  1.70E-04  1.05E-04  1.72E+01  2.00E+01
   530  5.713612788E-03  1.018900620E-03  1.78E-06  1.64E-04  1.01E-04  1.74E+01  2.88E+01
   540  5.645701203E-03  9.892497898E-04  1.67E-06  1.59E-04  9.61E-05  1.75E+01  4.63E+01
   550  5.598394763E-03  9.690454121E-04  1.60E-06  1.56E-04  9.31E-05  1.77E+01  5.45E+01
   560  5.560560538E-03  9.533747097E-04  1.54E-06  1.53E-04  9.03E-05  1.79E+01  3.51E+01
   570  5.518053164E-03  9.359812333E-04  1.49E-06  1.51E-04  8.80E-05  1.80E+01  1.69E+01
   580  5.491392108E-03  9.251082185E-04  1.46E-06  1.49E-04  8.65E-05  1.82E+01  5.21E+01
   590  5.451550939E-03  9.091391778E-04  1.42E-06  1.46E-04  8.50E-05  1.83E+01  3.48E+01
   600  5.389944156E-03  8.851741598E-04  1.36E-06  1.42E-04  8.29E-05  1.85E+01  1.93E+01
   610  5.329952445E-03  8.628167002E-04  1.31E-06  1.39E-04  8.11E-05  1.87E+01  5.24E+01
   620  5.289122975E-03  8.481285432E-04  1.27E-06  1.36E-04  7.96E-05  1.88E+01  6.35E+01
   630  5.265901244E-03  8.398823568E-04  1.25E-06  1.35E-04  7.87E-05  1.90E+01  4.36E+01
   640  5.208888268E-03  8.199053226E-04  1.21E-06  1.32E-04  7.75E-05  1.91E+01  1.70E+01
   650  5.139735549E-03  7.966046018E-04  1.17E-06  1.28E-04  7.60E-05  1.93E+01  3.15E+01
   660  5.095224656E-03  7.820737996E-04  1.14E-06  1.26E-04  7.49E-05  1.94E+01  6.56E+01
   670  5.073175002E-03  7.748742492E-04  1.13E-06  1.25E-04  7.41E-05  1.96E+01  7.26E+01
   680  5.008740164E-03  7.540832133E-04  1.09E-06  1.21E-04  7.35E-05  1.97E+01  3.56E+01
   690  4.950108746E-03  7.354640803E-04  1.06E-06  1.18E-04  7.27E-05  1.99E+01  5.05E+01
   700  4.880450727E-03  7.137519723E-04  1.02E-06  1.15E-04  7.17E-05  2.00E+01  2.81E+01
   710  4.810739441E-03  6.925936595E-04  9.89E-07  1.11E-04  7.10E-05  2.01E+01  6.11E+01

   Itn   abs(x(1))          norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
   720  4.724221202E-03  6.670897020E-04  9.45E-07  1.07E-04  6.99E-05  2.03E+01  4.19E+01
   730  4.624555063E-03  6.393768488E-04  8.94E-07  1.03E-04  6.85E-05  2.04E+01  4.01E+01
   740  4.552220848E-03  6.204726227E-04  8.57E-07  9.98E-05  6.71E-05  2.06E+01  2.00E+01
   750  4.480576739E-03  6.026627795E-04  8.20E-07  9.69E-05  6.58E-05  2.07E+01  5.17E+01
   760  4.422247611E-03  5.887041125E-04  7.90E-07  9.47E-05  6.44E-05  2.08E+01  5.49E+01
   770  4.313873505E-03  5.639313479E-04  7.31E-07  9.07E-05  6.18E-05  2.10E+01  3.08E+01
   780  4.209771191E-03  5.426067978E-04  6.72E-07  8.73E-05  5.87E-05  2.11E+01  3.44E+01
   790  4.129404201E-03  5.278546846E-04  6.25E-07  8.49E-05  5.57E-05  2.12E+01  3.44E+01
   800  4.098110832E-03  5.225042064E-04  6.06E-07  8.40E-05  5.42E-05  2.14E+01  7.63E+01
   810  4.074231598E-03  5.184072863E-04  5.92E-07  8.34E-05  5.31E-05  2.15E+01  4.44E+01
   820  4.044547812E-03  5.132612809E-04  5.76E-07  8.25E-05  5.19E-05  2.17E+01  6.84E+01
   830  4.024752716E-03  5.098216958E-04  5.67E-07  8.20E-05  5.11E-05  2.18E+01  6.05E+01
   840  4.009680186E-03  5.071225320E-04  5.60E-07  8.15E-05  5.04E-05  2.19E+01  4.91E+01
   850  3.987927582E-03  5.030949056E-04  5.51E-07  8.09E-05  4.98E-05  2.20E+01  5.37E+01
   860  3.980149021E-03  5.015609714E-04  5.49E-07  8.07E-05  4.93E-05  2.22E+01  6.94E+01
   870  3.961597162E-03  4.977892792E-04  5.44E-07  8.00E-05  4.90E-05  2.23E+01  8.19E+01
   880  3.935246637E-03  4.923018086E-04  5.37E-07  7.92E-05  4.87E-05  2.24E+01  1.58E+02
   890  3.884357200E-03  4.815321908E-04  5.25E-07  7.74E-05  4.83E-05  2.25E+01  5.95E+01
   900  3.838413253E-03  4.719634349E-04  5.14E-07  7.59E-05  4.80E-05  2.27E+01  1.35E+02
   910  3.794924643E-03  4.629455188E-04  5.05E-07  7.44E-05  4.78E-05  2.28E+01  8.74E+01

   Itn   abs(x(1))          norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
   920  3.746652964E-03  4.527867211E-04  4.95E-07  7.28E-05  4.77E-05  2.29E+01  4.44E+01
   930  3.732265075E-03  4.495899398E-04  4.92E-07  7.23E-05  4.75E-05  2.31E+01  5.99E+01
   940  3.657603566E-03  4.327674365E-04  4.80E-07  6.96E-05  4.78E-05  2.32E+01  8.88E+01
   950  3.023692841E-03  2.909986461E-04  3.54E-07  4.68E-05  5.22E-05  2.33E+01  1.39E+01
   960  2.902779777E-03  2.656160641E-04  3.22E-07  4.27E-05  5.17E-05  2.34E+01  3.05E+01
   970  2.856588770E-03  2.562798525E-04  3.09E-07  4.12E-05  5.12E-05  2.36E+01  1.22E+01
   980  2.685727689E-03  2.247606803E-04  2.53E-07  3.61E-05  4.77E-05  2.37E+01  1.96E+01
   990  2.674410725E-03  2.225443157E-04  2.50E-07  3.58E-05  4.72E-05  2.38E+01  3.38E+01
  1000  2.494548748E-03  1.912230296E-04  1.86E-07  3.07E-05  4.08E-05  2.39E+01  3.06E+01
  1010  2.491621116E-03  1.908161875E-04  1.85E-07  3.07E-05  4.04E-05  2.40E+01  1.26E+02
  1020  2.442624217E-03  1.841846310E-04  1.76E-07  2.96E-05  3.95E-05  2.41E+01  1.70E+01
  1030  2.245617257E-03  1.630044501E-04  1.30E-07  2.62E-05  3.29E-05  2.43E+01  2.46E+01
  1040  2.239726965E-03  1.625202192E-04  1.29E-07  2.61E-05  3.24E-05  2.44E+01  1.92E+02
  1050  2.230591500E-03  1.614473919E-04  1.27E-07  2.60E-05  3.21E-05  2.45E+01  3.05E+01
  1060  2.157915481E-03  1.536732550E-04  1.11E-07  2.47E-05  2.94E-05  2.46E+01  1.93E+01
  1070  2.139023352E-03  1.519046831E-04  1.07E-07  2.44E-05  2.85E-05  2.48E+01  1.32E+02
  1080  2.133844951E-03  1.513230123E-04  1.06E-07  2.43E-05  2.82E-05  2.48E+01  2.39E+01
  1090  2.024935784E-03  1.412613240E-04  7.54E-08  2.27E-05  2.14E-05  2.50E+01  1.27E+01
  1100  1.952263465E-03  1.380525222E-04  4.46E-08  2.22E-05  1.29E-05  2.51E+01  2.25E+01
  1110  1.947732251E-03  1.379491518E-04  4.20E-08  2.22E-05  1.21E-05  2.52E+01  3.53E+01

   Itn   abs(x(1))          norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
  1120  1.946989205E-03  1.379212810E-04  4.16E-08  2.22E-05  1.19E-05  2.53E+01  4.39E+01
  1130  1.941150293E-03  1.376967702E-04  3.87E-08  2.21E-05  1.11E-05  2.54E+01  2.39E+01
  1140  1.927185619E-03  1.372859157E-04  3.07E-08  2.21E-05  8.76E-06  2.55E+01  4.27E+01
  1150  1.925799569E-03  1.372532773E-04  2.98E-08  2.21E-05  8.48E-06  2.56E+01  8.85E+01
  1160  1.925703885E-03  1.372497303E-04  2.98E-08  2.21E-05  8.42E-06  2.58E+01  3.24E+02
  1170  1.925685756E-03  1.372476046E-04  2.98E-08  2.21E-05  8.38E-06  2.59E+01  1.38E+03
  1180  1.925636818E-03  1.372405361E-04  2.98E-08  2.21E-05  8.36E-06  2.60E+01  1.12E+03
  1190  1.925444661E-03  1.372121210E-04  2.98E-08  2.21E-05  8.31E-06  2.61E+01  7.78E+02
  1200  1.923028607E-03  1.368497737E-04  2.97E-08  2.20E-05  8.29E-06  2.62E+01  1.75E+02
  1210  1.912459868E-03  1.351905440E-04  2.95E-08  2.17E-05  8.30E-06  2.63E+01  1.19E+02
  1220  1.865170199E-03  1.246456961E-04  2.81E-08  2.00E-05  8.52E-06  2.64E+01  2.11E+01
  1230  1.935258739E-03  9.611390805E-05  2.35E-08  1.55E-05  9.20E-06  2.65E+01  1.77E+01
  1240  2.480789531E-03  6.394816506E-05  1.44E-08  1.03E-05  8.46E-06  2.66E+01  1.38E+01
  1250  2.653308061E-03  5.972460219E-05  1.14E-08  9.60E-06  7.11E-06  2.67E+01  1.62E+01
  1260  2.697704898E-03  5.895341742E-05  1.05E-08  9.48E-06  6.62E-06  2.68E+01  5.60E+01
  1270  2.707343867E-03  5.880201356E-05  1.03E-08  9.46E-06  6.49E-06  2.70E+01  9.86E+01
  1280  2.709202757E-03  5.877308737E-05  1.02E-08  9.45E-06  6.44E-06  2.71E+01  2.39E+02
  1290  2.709701968E-03  5.876485660E-05  1.02E-08  9.45E-06  6.41E-06  2.72E+01  4.23E+02
  1300  2.709894893E-03  5.876109850E-05  1.02E-08  9.45E-06  6.38E-06  2.73E+01  5.39E+02
  1310  2.709987415E-03  5.875891176E-05  1.02E-08  9.45E-06  6.36E-06  2.74E+01  5.75E+02

   Itn   abs(x(1))          norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
  1320  2.710050008E-03  5.875687811E-05  1.02E-08  9.45E-06  6.34E-06  2.75E+01  1.33E+03
  1330  2.710153747E-03  5.875315483E-05  1.02E-08  9.45E-06  6.31E-06  2.76E+01  5.60E+02
  1340  2.710497986E-03  5.874045368E-05  1.02E-08  9.45E-06  6.29E-06  2.77E+01  3.66E+02
  1350  2.711582700E-03  5.870027448E-05  1.02E-08  9.44E-06  6.27E-06  2.78E+01  5.87E+02
  1360  2.713927689E-03  5.861320680E-05  1.02E-08  9.43E-06  6.25E-06  2.79E+01  3.39E+02
  1370  2.722721799E-03  5.828685719E-05  1.02E-08  9.37E-06  6.24E-06  2.80E+01  1.20E+02
  1380  2.772519050E-03  5.645312974E-05  1.00E-08  9.08E-06  6.32E-06  2.81E+01  7.92E+01
  1390  2.826135695E-03  5.450625077E-05  9.82E-09  8.76E-06  6.39E-06  2.82E+01  6.31E+01
  1400  2.994458137E-03  4.856499342E-05  9.22E-09  7.81E-06  6.71E-06  2.83E+01  2.49E+01
  1410  3.280606423E-03  3.900282956E-05  8.15E-09  6.27E-06  7.36E-06  2.84E+01  1.83E+01
  1420  3.658762980E-03  2.747307219E-05  6.53E-09  4.42E-06  8.34E-06  2.85E+01  1.92E+01
  1430  4.004204291E-03  1.882757376E-05  4.64E-09  3.03E-06  8.62E-06  2.86E+01  1.38E+01
  1440  4.230577254E-03  1.535680228E-05  2.82E-09  2.47E-06  6.41E-06  2.87E+01  1.39E+01
  1450  4.320717296E-03  1.479939365E-05  1.62E-09  2.38E-06  3.79E-06  2.88E+01  1.64E+01
  1460  4.345127565E-03  1.474457035E-05  1.08E-09  2.37E-06  2.53E-06  2.89E+01  1.38E+01
  1470  4.358410656E-03  1.473238937E-05  6.12E-10  2.37E-06  1.43E-06  2.90E+01  1.38E+01
  1480  4.362076799E-03  1.473121514E-05  3.96E-10  2.37E-06  9.25E-07  2.91E+01  1.43E+01
  1490  4.363313181E-03  1.473103230E-05  2.89E-10  2.37E-06  6.73E-07  2.92E+01  1.38E+01
  1500  4.363924671E-03  1.473098061E-05  2.18E-10  2.37E-06  5.05E-07  2.93E+01  1.38E+01
  1510  4.364517865E-03  1.473095657E-05  1.11E-10  2.37E-06  2.56E-07  2.94E+01  1.38E+01

   Itn   abs(x(1))          norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
  1520  4.364649307E-03  1.473095486E-05  6.67E-11  2.37E-06  1.54E-07  2.95E+01  1.93E+01
  1530  4.364686515E-03  1.473095455E-05  4.75E-11  2.37E-06  1.09E-07  2.96E+01  1.87E+01
  1540  4.364706968E-03  1.473095439E-05  3.22E-11  2.37E-06  7.38E-08  2.96E+01  1.58E+01
  1550  4.364712570E-03  1.473095435E-05  2.66E-11  2.37E-06  6.05E-08  2.98E+01  1.38E+01
  1560  4.364717453E-03  1.473095429E-05  2.04E-11  2.37E-06  4.64E-08  2.99E+01  1.39E+01
  1570  4.364721122E-03  1.473095425E-05  1.43E-11  2.37E-06  3.24E-08  2.99E+01  1.39E+01
  1580  4.364722985E-03  1.473095424E-05  9.86E-12  2.37E-06  2.23E-08  3.01E+01  1.63E+01
  1590  4.364723919E-03  1.473095423E-05  6.80E-12  2.37E-06  1.53E-08  3.01E+01  2.08E+01
  1600  4.364724283E-03  1.473095423E-05  5.37E-12  2.37E-06  1.21E-08  3.02E+01  2.49E+01
  1610  4.364724613E-03  1.473095423E-05  3.88E-12  2.37E-06  8.69E-09  3.03E+01  2.27E+01
  1620  4.364724768E-03  1.473095423E-05  3.12E-12  2.37E-06  6.96E-09  3.05E+01  1.60E+01
  1630  4.364724869E-03  1.473095423E-05  2.51E-12  2.37E-06  5.58E-09  3.05E+01  1.38E+01
  1640  4.364724935E-03  1.473095423E-05  1.95E-12  2.37E-06  4.32E-09  3.06E+01  1.38E+01
  1650  4.364724977E-03  1.473095423E-05  1.32E-12  2.37E-06  2.91E-09  3.07E+01  2.03E+01
  1660  4.364724983E-03  1.473095423E-05  8.27E-13  2.37E-06  1.82E-09  3.08E+01  1.38E+01
  1670  4.364724983E-03  1.473095423E-05  6.18E-13  2.37E-06  1.36E-09  3.09E+01  4.92E+01
  1680  4.364724975E-03  1.473095423E-05  3.76E-13  2.37E-06  8.24E-10  3.10E+01  1.73E+01
  1690  4.364724970E-03  1.473095423E-05  2.07E-13  2.37E-06  4.52E-10  3.11E+01  1.42E+01
  1700  4.364724970E-03  1.473095423E-05  1.47E-13  2.37E-06  3.19E-10  3.12E+01  1.73E+01
  1710  4.364724971E-03  1.473095423E-05  1.08E-13  2.37E-06  2.34E-10  3.13E+01  2.15E+01

   Itn   abs(x(1))          norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
  1720  4.364724972E-03  1.473095423E-05  9.19E-14  2.37E-06  1.99E-10  3.14E+01  1.87E+01
  1730  4.364724972E-03  1.473095423E-05  6.59E-14  2.37E-06  1.42E-10  3.14E+01  1.49E+01
  1740  4.364724972E-03  1.473095423E-05  4.27E-14  2.37E-06  9.18E-11  3.16E+01  1.38E+01
  1750  4.364724972E-03  1.473095423E-05  3.29E-14  2.37E-06  7.07E-11  3.16E+01  1.38E+01
  1760  4.364724972E-03  1.473095423E-05  2.51E-14  2.37E-06  5.37E-11  3.17E+01  1.88E+01
  1770  4.364724972E-03  1.473095423E-05  2.04E-14  2.37E-06  4.35E-11  3.18E+01  4.54E+01
  1780  4.364724972E-03  1.473095423E-05  1.44E-14  2.37E-06  3.06E-11  3.19E+01  1.71E+01
  1790  4.364724972E-03  1.473095423E-05  1.06E-14  2.37E-06  2.24E-11  3.20E+01  3.28E+01
  1800  4.364724972E-03  1.473095423E-05  8.97E-15  2.37E-06  1.90E-11  3.21E+01  2.70E+01
  1810  4.364724972E-03  1.473095423E-05  6.32E-15  2.37E-06  1.33E-11  3.22E+01  1.38E+01
  1820  4.364724972E-03  1.473095423E-05  4.31E-15  2.37E-06  9.07E-12  3.23E+01  2.04E+01
  1830  4.364724972E-03  1.473095423E-05  2.88E-15  2.37E-06  6.04E-12  3.24E+01  3.44E+01
  1840  4.364724972E-03  1.473095423E-05  1.82E-15  2.37E-06  3.81E-12  3.24E+01  3.81E+01
  1850  4.364724972E-03  1.473095423E-05  1.50E-15  2.37E-06  3.14E-12  3.25E+01  2.11E+01
  1860  4.364724972E-03  1.473095423E-05  1.02E-15  2.37E-06  2.11E-12  3.26E+01  1.38E+01
  1870  4.364724972E-03  1.473095423E-05  6.54E-16  2.37E-06  1.36E-12  3.27E+01  1.38E+01
  1880  4.364724972E-03  1.473095423E-05  3.96E-16  2.37E-06  8.20E-13  3.28E+01  3.24E+01
  1890  4.364724972E-03  1.473095423E-05  2.30E-16  2.37E-06  4.75E-13  3.29E+01  2.97E+01
  1900  4.364724972E-03  1.473095423E-05  2.06E-16  2.37E-06  4.24E-13  3.30E+01  1.96E+01
  1910  4.364724972E-03  1.473095423E-05  1.64E-16  2.37E-06  3.36E-13  3.31E+01  3.32E+01

   Itn   abs(x(1))          norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
  1920  4.364724972E-03  1.473095423E-05  1.43E-16  2.37E-06  2.93E-13  3.31E+01  1.93E+01
  1930  4.364724972E-03  1.473095423E-05  1.25E-16  2.37E-06  2.56E-13  3.32E+01  2.43E+01
  1940  4.364724972E-03  1.473095423E-05  1.13E-16  2.37E-06  2.31E-13  3.33E+01  6.12E+01
  1950  4.364724972E-03  1.473095423E-05  8.18E-17  2.37E-06  1.66E-13  3.34E+01  2.09E+01
  1960  4.364724972E-03  1.473095423E-05  7.58E-17  2.37E-06  1.54E-13  3.35E+01  4.29E+01
  1970  4.364724972E-03  1.473095423E-05  5.30E-17  2.37E-06  1.07E-13  3.36E+01  1.38E+01
  1980  4.364724972E-03  1.473095423E-05  3.71E-17  2.37E-06  7.47E-14  3.37E+01  3.42E+01
  1990  4.364724972E-03  1.473095423E-05  3.68E-17  2.37E-06  7.40E-14  3.38E+01  9.87E+01
  2000  4.364724972E-03  1.473095423E-05  3.44E-17  2.37E-06  6.91E-14  3.38E+01  1.38E+01
  2010  4.364724972E-03  1.473095423E-05  2.97E-17  2.37E-06  5.95E-14  3.39E+01  5.53E+01
  2020  4.364724972E-03  1.473095423E-05  2.94E-17  2.37E-06  5.86E-14  3.40E+01  5.26E+01
  2030  4.364724972E-03  1.473095423E-05  2.84E-17  2.37E-06  5.65E-14  3.41E+01  5.92E+01
  2040  4.364724972E-03  1.473095423E-05  2.70E-17  2.37E-06  5.37E-14  3.42E+01  2.17E+01
  2050  4.364724972E-03  1.473095423E-05  2.39E-17  2.37E-06  4.74E-14  3.43E+01  3.86E+01
  2060  4.364724972E-03  1.473095423E-05  2.34E-17  2.37E-06  4.62E-14  3.43E+01  9.15E+01
  2070  4.364724972E-03  1.473095423E-05  2.26E-17  2.37E-06  4.45E-14  3.44E+01  1.38E+01
  2080  4.364724972E-03  1.473095423E-05  1.42E-17  2.37E-06  2.80E-14  3.45E+01  1.38E+01
  2090  4.364724972E-03  1.473095423E-05  1.23E-17  2.37E-06  2.42E-14  3.46E+01  4.04E+01
  2100  4.364724972E-03  1.473095423E-05  1.22E-17  2.37E-06  2.38E-14  3.47E+01  9.95E+01
  2110  4.364724972E-03  1.473095423E-05  1.20E-17  2.37E-06  2.34E-14  3.48E+01  5.38E+01

   Itn   abs(x(1))          norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
  2120  4.364724972E-03  1.473095423E-05  1.03E-17  2.37E-06  2.00E-14  3.49E+01  1.38E+01
  2130  4.364724972E-03  1.473095423E-05  7.90E-18  2.37E-06  1.53E-14  3.49E+01  4.80E+01
  2140  4.364724972E-03  1.473095423E-05  7.80E-18  2.37E-06  1.51E-14  3.50E+01  4.10E+01
  2150  4.364724972E-03  1.473095423E-05  7.55E-18  2.37E-06  1.46E-14  3.51E+01  4.22E+01
  2160  4.364724972E-03  1.473095423E-05  6.00E-18  2.37E-06  1.16E-14  3.52E+01  1.95E+01
  2162  4.364724972E-03  1.473095423E-05  5.33E-18  2.37E-06  1.03E-14  3.52E+01  1.38E+01
  2163  4.364724972E-03  1.473095423E-05  4.74E-18  2.37E-06  9.13E-15  3.52E+01  1.38E+01

 Exit  LSMR.       istop  = 3               itn    =    2163
 Exit  LSMR.       normA  = 3.52009E+01     condA  = 1.37507E+01
 Exit  LSMR.       normb  = 6.21883E+00     normx  = 1.47310E+01
 Exit  LSMR.       normr  = 1.47310E-05     normAr = 4.73572E-18
 Exit  LSMR.       The estimate of cond(Abar) has exceeded conlim       


 Enter xcheck.     Does x solve Ax = b, etc?
    damp            = 1.000E-06
    norm(x)         = 1.473E+01
    norm(r)         = 4.05235451E-09 = rho1
    norm(A'r)       = 1.473E-11      = sigma1

    norm(s)         = 4.052E-03
    norm(x,s)       = 1.473E+01
    norm(rbar)      = 1.47309542E-05 = rho2
    norm(Abar'rbar) = 7.153E-15      = sigma2

    inform          = 1
    tol             = 1.000E-06
    test1           = 7.722E-12 (Ax = b)
    test2           = 1.033E-04 (least-squares)
    test3           = 1.379E-11 (damped least-squares)
 LSMR  appears to be successful.  Itns =   2163  norm(r) = 1.47E-05  norm(A'r) = 4.74E-18
  
 norm(x) =   14.730953667802980     
 Some of the computed x
 ( 3.08628223153843782E-003, 3.08637101902523112E-003)
 ( 6.17283750173858864E-003, 6.17283600021887799E-003)
 ( 9.25919969197479438E-003, 9.25919743632904260E-003)
 ( 1.23453125708340092E-002, 1.23454305135732873E-002)
 ( 1.54307908318578237E-002, 1.54315915587880971E-002)


----------------------------------------
 Test of zLSMR on an MM CCH matrix 
----------------------------------------


----------------------------------------
 Test of zLSMR on an MM CCH matrix 
----------------------------------------
29 June 2013   7:36:40.094 PM
 
lsmrReadMtxModule::ReadMtxSize():
  Reading ./qc324CCH.mtx
  using the MM_IO library.
 
MM_HEADER_PRINT:
  Header information from Matrix Market file "./qc324CCH.mtx".
 
  Matrix Market ID = "%%MatrixMarket".
    "%%MatrixMarket" is only allowed value.
 
  Matrix Market TYPE = "matrix".
    "matrix" is only allowed value.
 
  Representation type REP = "coordinate".
    "coordinate" for sparse matrices,
    "array"      for dense matrices,
    "elemental"  for unassembled finite element matrices.
 
  Numeric FIELD = "complex".
    "integer" for integer values,
    "real"    for real values,
    "double"  for double precision real values,
    "complex" for complex values,
    "pattern" for nonzero pattern only.
 
  Symmetry type SYMM = "hermitian".
    "general"         no symmetry,
    "symmetric"       A(I,J) = A(J,I),
                      input only lower triangle.
    "skew-symmetric"  A(I,J) = - A(J,I),
                      input only strict lower triangle.
    "Hermitian"       A(I,J) = A*(J,I),
                      input only lower triangle.
 
MM_SIZE_PRINT:
  Size information from Matrix Market file "./qc324CCH.mtx".
 
 
  Number of rows    NROW =      324
  Number of columns NCOL =      324
  Declared number of nonzeros NNZ =    13527
 
  Sparse array storage by coordinate.
  Listing entries        1 through       10
 
   1         1       1  0.390788     -0.508599E-01
   2         2       1 -0.639345E-01  0.103177E-01
   3         3       1  0.159716E-01 -0.257748E-02
   4         4       1 -0.708951E-02  0.114410E-02
   5         5       1  0.398074E-02 -0.642410E-03
   6         6       1 -0.254178E-02  0.410191E-03
   7         7       1  0.176006E-02 -0.284038E-03
   8         8       1 -0.128866E-02  0.207963E-03
   9         9       1  0.982645E-03 -0.158579E-03
  10        10       1 -0.772781E-03  0.124711E-03
 consis     =  F
 input_file = ./qc324CCH.mtx
 n =          324   nnz =        13527
 Some of b
           1 (  1.0000000000000000     ,  0.0000000000000000     )
           2 (  1.0000000000000000     ,  0.0000000000000000     )
           3 (  1.0000000000000000     ,  0.0000000000000000     )
           4 (  1.0000000000000000     ,  0.0000000000000000     )
           5 (  1.0000000000000000     ,  0.0000000000000000     )


 Enter LSMR.       Least-squares solution of  Ax = b
 The matrix  A  has    324 rows   and    324 columns
 damp   =  1.00000000000000E-06
 atol   =  1.00E-14               conlim =  1.00E+10
 btol   =  1.00E-14               itnlim =      2792
 localSize (no. of vectors for local reorthogonalization) =      0

   Itn   abs(x(1))          norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
     0  0.000000000E+00  0.000000000E+00  1.80E+01  6.12E+00  1.00E+00  1.89E-02
     1  2.739369537E-01  1.632238943E+01  4.76E+00  9.07E-01  4.55E-01  6.42E-01  1.56E+00
     2  8.279315095E-01  1.396654091E+01  3.32E+00  7.76E-01  1.68E-01  1.42E+00  1.66E+00
     3  1.327976440E+00  1.262877354E+01  2.14E+00  7.02E-01  9.20E-02  1.84E+00  1.41E+00
     4  1.611669434E+00  1.207278522E+01  1.63E+00  6.71E-01  6.48E-02  2.09E+00  1.75E+00
     5  1.881766428E+00  1.157074842E+01  1.35E+00  6.43E-01  5.09E-02  2.29E+00  2.45E+00
     6  2.216569388E+00  1.100917510E+01  1.08E+00  6.12E-01  3.96E-02  2.48E+00  2.53E+00
     7  2.435842380E+00  1.063890740E+01  9.32E-01  5.91E-01  3.37E-02  2.60E+00  2.89E+00
     8  2.582685640E+00  1.035205325E+01  8.54E-01  5.75E-01  3.02E-02  2.74E+00  3.50E+00
     9  2.930917255E+00  9.661723322E+00  6.89E-01  5.37E-01  2.46E-02  2.90E+00  3.73E+00
    10  3.246128388E+00  9.137390243E+00  5.19E-01  5.08E-01  1.91E-02  2.97E+00  3.12E+00
    20  3.837330331E+00  7.740891196E+00  1.55E-01  4.30E-01  5.77E-03  3.48E+00  5.61E+00
    30  4.409409333E+00  7.121385999E+00  8.52E-02  3.96E-01  2.79E-03  4.28E+00  9.79E+00
    40  4.896698546E+00  6.756210921E+00  5.80E-02  3.75E-01  1.75E-03  4.89E+00  7.99E+00
    50  5.277956780E+00  6.506779397E+00  4.48E-02  3.61E-01  1.27E-03  5.42E+00  5.38E+00
    60  5.674682494E+00  6.289775596E+00  3.59E-02  3.49E-01  9.74E-04  5.86E+00  1.84E+01
    70  6.034827868E+00  6.102471155E+00  3.01E-02  3.39E-01  7.76E-04  6.35E+00  1.10E+01
    80  6.326092809E+00  5.970394460E+00  2.64E-02  3.32E-01  6.52E-04  6.77E+00  9.08E+00
    90  6.686719490E+00  5.809624680E+00  2.29E-02  3.23E-01  5.52E-04  7.14E+00  2.51E+01
   100  6.954537991E+00  5.697468223E+00  2.08E-02  3.17E-01  4.79E-04  7.61E+00  1.22E+01
   110  7.284456808E+00  5.567584101E+00  1.86E-02  3.09E-01  4.19E-04  7.98E+00  2.44E+01

   Itn   abs(x(1))          norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
   120  7.601470935E+00  5.448795078E+00  1.67E-02  3.03E-01  3.71E-04  8.26E+00  2.13E+01
   130  7.844908119E+00  5.362510290E+00  1.55E-02  2.98E-01  3.35E-04  8.61E+00  3.33E+01
   140  8.070855125E+00  5.283809407E+00  1.45E-02  2.94E-01  3.07E-04  8.97E+00  1.39E+01
   150  8.335481006E+00  5.190649973E+00  1.36E-02  2.88E-01  2.85E-04  9.20E+00  3.49E+01
   160  8.644861102E+00  5.084380192E+00  1.26E-02  2.82E-01  2.59E-04  9.58E+00  2.02E+01
   170  8.919725762E+00  4.994338776E+00  1.18E-02  2.77E-01  2.40E-04  9.86E+00  3.39E+01
   180  9.228043182E+00  4.897108076E+00  1.10E-02  2.72E-01  2.22E-04  1.01E+01  2.61E+01
   190  9.548600798E+00  4.801976346E+00  1.02E-02  2.67E-01  2.06E-04  1.04E+01  4.31E+01
   200  9.708232606E+00  4.755594002E+00  9.88E-03  2.64E-01  1.95E-04  1.07E+01  3.65E+01
   210  1.007410132E+01  4.653199515E+00  9.15E-03  2.59E-01  1.80E-04  1.09E+01  2.48E+01
   220  1.042679811E+01  4.564313759E+00  8.48E-03  2.54E-01  1.66E-04  1.12E+01  4.45E+01
   230  1.062230090E+01  4.514894252E+00  8.13E-03  2.51E-01  1.58E-04  1.14E+01  4.18E+01
   240  1.080418854E+01  4.469843825E+00  7.84E-03  2.48E-01  1.50E-04  1.17E+01  3.00E+01
   250  1.107236599E+01  4.400624593E+00  7.43E-03  2.44E-01  1.42E-04  1.19E+01  2.61E+01
   260  1.135452004E+01  4.332409377E+00  7.02E-03  2.41E-01  1.34E-04  1.21E+01  3.33E+01
   270  1.165015139E+01  4.264417123E+00  6.59E-03  2.37E-01  1.25E-04  1.24E+01  2.53E+01
   280  1.183885432E+01  4.221730097E+00  6.33E-03  2.35E-01  1.19E-04  1.26E+01  4.14E+01
   290  1.196723657E+01  4.191841493E+00  6.17E-03  2.33E-01  1.15E-04  1.28E+01  3.45E+01
   300  1.208945233E+01  4.163183663E+00  6.04E-03  2.31E-01  1.11E-04  1.30E+01  3.55E+01
   310  1.228323137E+01  4.119098990E+00  5.86E-03  2.29E-01  1.07E-04  1.33E+01  3.76E+01

   Itn   abs(x(1))          norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
   320  1.264713593E+01  4.038267141E+00  5.53E-03  2.24E-01  1.02E-04  1.34E+01  4.20E+01
   330  1.294719849E+01  3.974648350E+00  5.26E-03  2.21E-01  9.66E-05  1.37E+01  4.33E+01
   340  1.323327349E+01  3.916534654E+00  5.00E-03  2.18E-01  9.19E-05  1.39E+01  3.11E+01
   350  1.344861574E+01  3.875760249E+00  4.81E-03  2.15E-01  8.83E-05  1.41E+01  1.98E+01
   360  1.363296368E+01  3.843357205E+00  4.67E-03  2.14E-01  8.51E-05  1.43E+01  5.33E+01
   370  1.377964128E+01  3.818731215E+00  4.57E-03  2.12E-01  8.25E-05  1.45E+01  6.89E+01
   380  1.390505056E+01  3.796934412E+00  4.49E-03  2.11E-01  8.04E-05  1.47E+01  5.55E+01
   390  1.409890908E+01  3.761231177E+00  4.38E-03  2.09E-01  7.85E-05  1.48E+01  6.65E+01
   400  1.425991474E+01  3.731527636E+00  4.29E-03  2.07E-01  7.63E-05  1.51E+01  5.46E+01
   410  1.445217576E+01  3.695933181E+00  4.19E-03  2.05E-01  7.42E-05  1.53E+01  3.15E+01
   420  1.477628149E+01  3.637349318E+00  4.02E-03  2.02E-01  7.18E-05  1.54E+01  3.43E+01
   430  1.516288407E+01  3.570619701E+00  3.82E-03  1.98E-01  6.85E-05  1.56E+01  3.32E+01
   440  1.543619742E+01  3.526301910E+00  3.68E-03  1.96E-01  6.60E-05  1.58E+01  5.61E+01
   450  1.564907160E+01  3.493812108E+00  3.57E-03  1.94E-01  6.39E-05  1.60E+01  2.95E+01
   460  1.592447028E+01  3.454083494E+00  3.43E-03  1.92E-01  6.15E-05  1.62E+01  4.59E+01
   470  1.621856043E+01  3.414495932E+00  3.30E-03  1.90E-01  5.91E-05  1.63E+01  4.40E+01
   480  1.645725362E+01  3.383574169E+00  3.18E-03  1.88E-01  5.69E-05  1.65E+01  3.20E+01
   490  1.673348781E+01  3.349464917E+00  3.06E-03  1.86E-01  5.48E-05  1.67E+01  5.93E+01
   500  1.687675083E+01  3.332149937E+00  2.99E-03  1.85E-01  5.32E-05  1.69E+01  9.63E+01
   510  1.696158764E+01  3.321602029E+00  2.96E-03  1.85E-01  5.22E-05  1.70E+01  9.41E+01

   Itn   abs(x(1))          norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
   520  1.704613994E+01  3.310556738E+00  2.93E-03  1.84E-01  5.15E-05  1.72E+01  9.84E+01
   530  1.713556180E+01  3.297796944E+00  2.90E-03  1.83E-01  5.07E-05  1.73E+01  6.82E+01
   540  1.728858008E+01  3.273180558E+00  2.85E-03  1.82E-01  4.96E-05  1.75E+01  2.54E+01
   550  1.748769202E+01  3.240605548E+00  2.79E-03  1.80E-01  4.87E-05  1.77E+01  4.93E+01
   560  1.768775713E+01  3.206049797E+00  2.73E-03  1.78E-01  4.77E-05  1.79E+01  3.11E+01
   570  1.805520238E+01  3.142051173E+00  2.61E-03  1.75E-01  4.61E-05  1.80E+01  7.37E+01
   580  1.864590998E+01  3.045911054E+00  2.41E-03  1.69E-01  4.35E-05  1.82E+01  1.75E+01
   590  1.895404892E+01  3.000780295E+00  2.30E-03  1.67E-01  4.18E-05  1.84E+01  1.66E+01
   600  1.912942370E+01  2.976226904E+00  2.24E-03  1.65E-01  4.08E-05  1.85E+01  2.44E+01
   610  1.927519138E+01  2.956590272E+00  2.19E-03  1.64E-01  3.98E-05  1.87E+01  8.02E+01
   620  1.941111780E+01  2.938635766E+00  2.15E-03  1.63E-01  3.89E-05  1.88E+01  7.30E+01
   630  1.968774196E+01  2.902882188E+00  2.06E-03  1.61E-01  3.75E-05  1.89E+01  5.24E+01
   640  1.993656079E+01  2.872596833E+00  1.98E-03  1.60E-01  3.61E-05  1.91E+01  6.79E+01
   650  2.004498516E+01  2.859683069E+00  1.95E-03  1.59E-01  3.53E-05  1.93E+01  5.59E+01
   660  2.018210837E+01  2.843642933E+00  1.90E-03  1.58E-01  3.45E-05  1.94E+01  5.39E+01
   670  2.044098829E+01  2.814793357E+00  1.83E-03  1.56E-01  3.32E-05  1.96E+01  5.46E+01
   680  2.066171997E+01  2.791769854E+00  1.76E-03  1.55E-01  3.21E-05  1.97E+01  6.30E+01
   690  2.086677514E+01  2.771198549E+00  1.70E-03  1.54E-01  3.09E-05  1.99E+01  7.11E+01
   700  2.094191604E+01  2.763329992E+00  1.68E-03  1.54E-01  3.04E-05  2.00E+01  4.62E+01
   710  2.099989955E+01  2.756250848E+00  1.66E-03  1.53E-01  2.98E-05  2.01E+01  8.99E+01

   Itn   abs(x(1))          norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
   720  2.103610871E+01  2.751216105E+00  1.64E-03  1.53E-01  2.94E-05  2.03E+01  1.07E+02
   730  2.106064760E+01  2.747422903E+00  1.64E-03  1.53E-01  2.91E-05  2.04E+01  6.50E+01
   740  2.109940631E+01  2.740962788E+00  1.62E-03  1.52E-01  2.88E-05  2.05E+01  8.91E+01
   750  2.113710386E+01  2.734540954E+00  1.61E-03  1.52E-01  2.85E-05  2.07E+01  1.35E+02
   760  2.119948919E+01  2.723720228E+00  1.60E-03  1.51E-01  2.81E-05  2.09E+01  7.54E+01
   770  2.127638827E+01  2.710524096E+00  1.58E-03  1.51E-01  2.78E-05  2.10E+01  1.26E+02
   780  2.135117782E+01  2.697724203E+00  1.56E-03  1.50E-01  2.74E-05  2.11E+01  6.93E+01
   790  2.141533140E+01  2.686884297E+00  1.54E-03  1.49E-01  2.70E-05  2.13E+01  9.63E+01
   800  2.153422727E+01  2.667481504E+00  1.52E-03  1.48E-01  2.66E-05  2.14E+01  5.39E+01
   810  2.166653946E+01  2.646915607E+00  1.49E-03  1.47E-01  2.62E-05  2.15E+01  6.27E+01
   820  2.178383805E+01  2.629757095E+00  1.47E-03  1.46E-01  2.58E-05  2.17E+01  9.63E+01
   830  2.210863327E+01  2.585342211E+00  1.40E-03  1.44E-01  2.49E-05  2.18E+01  2.09E+01
   840  2.260161643E+01  2.524812112E+00  1.31E-03  1.40E-01  2.36E-05  2.19E+01  1.82E+01
   850  2.297459587E+01  2.484408325E+00  1.23E-03  1.38E-01  2.24E-05  2.21E+01  3.06E+01
   860  2.329861967E+01  2.452992339E+00  1.16E-03  1.36E-01  2.13E-05  2.22E+01  6.82E+01
   870  2.354100590E+01  2.431289958E+00  1.10E-03  1.35E-01  2.03E-05  2.23E+01  2.03E+01
   880  2.389819167E+01  2.401682433E+00  1.01E-03  1.33E-01  1.88E-05  2.24E+01  2.92E+01
   890  2.404507374E+01  2.390610312E+00  9.76E-04  1.33E-01  1.81E-05  2.25E+01  2.15E+01
   900  2.421992036E+01  2.378331130E+00  9.29E-04  1.32E-01  1.72E-05  2.27E+01  6.65E+01
   910  2.442208133E+01  2.365377552E+00  8.74E-04  1.31E-01  1.62E-05  2.28E+01  5.87E+01

   Itn   abs(x(1))          norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
   920  2.461581025E+01  2.354087967E+00  8.17E-04  1.31E-01  1.51E-05  2.29E+01  5.22E+01
   930  2.499361376E+01  2.334923875E+00  6.92E-04  1.30E-01  1.28E-05  2.31E+01  3.72E+01
   940  2.517363171E+01  2.327176338E+00  6.22E-04  1.29E-01  1.15E-05  2.32E+01  1.28E+01
   950  2.521338795E+01  2.325537732E+00  6.04E-04  1.29E-01  1.12E-05  2.33E+01  9.27E+01
   960  2.522721744E+01  2.323264412E+00  5.91E-04  1.29E-01  1.08E-05  2.35E+01  1.26E+02
   970  2.523350860E+01  2.321907971E+00  5.83E-04  1.29E-01  1.07E-05  2.36E+01  9.70E+01
   980  2.523493746E+01  2.321098900E+00  5.81E-04  1.29E-01  1.06E-05  2.37E+01  8.38E+01
   990  2.526082886E+01  2.305550619E+00  5.20E-04  1.28E-01  9.47E-06  2.38E+01  3.94E+01
  1000  2.526113504E+01  2.305317730E+00  5.19E-04  1.28E-01  9.40E-06  2.39E+01  3.63E+02
  1010  2.525181026E+01  2.299916803E+00  5.06E-04  1.28E-01  9.16E-06  2.40E+01  3.03E+01
  1020  2.523319617E+01  2.289730055E+00  4.81E-04  1.27E-01  8.69E-06  2.42E+01  1.05E+02
  1030  2.523370531E+01  2.289446430E+00  4.80E-04  1.27E-01  8.64E-06  2.43E+01  2.99E+02
  1040  2.527692104E+01  2.283463860E+00  4.72E-04  1.27E-01  8.46E-06  2.44E+01  2.07E+01
  1050  2.537330872E+01  2.271000169E+00  4.53E-04  1.26E-01  8.14E-06  2.45E+01  5.96E+01
  1060  2.537770766E+01  2.270576406E+00  4.53E-04  1.26E-01  8.09E-06  2.46E+01  2.19E+02
  1070  2.541161693E+01  2.268070822E+00  4.50E-04  1.26E-01  8.00E-06  2.48E+01  8.04E+01
  1080  2.554123817E+01  2.258899543E+00  4.38E-04  1.25E-01  7.79E-06  2.49E+01  7.46E+01
  1090  2.554552620E+01  2.258612876E+00  4.38E-04  1.25E-01  7.76E-06  2.50E+01  5.44E+02
  1100  2.554653889E+01  2.258554713E+00  4.38E-04  1.25E-01  7.71E-06  2.51E+01  1.09E+03
  1110  2.557247948E+01  2.257097626E+00  4.37E-04  1.25E-01  7.68E-06  2.52E+01  3.11E+02

   Itn   abs(x(1))          norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
  1120  2.569394780E+01  2.250310509E+00  4.36E-04  1.25E-01  7.65E-06  2.53E+01  2.14E+02
  1130  2.579538291E+01  2.244701490E+00  4.35E-04  1.25E-01  7.62E-06  2.54E+01  4.17E+02
  1140  2.580575105E+01  2.244133198E+00  4.35E-04  1.25E-01  7.59E-06  2.56E+01  1.44E+03
  1150  2.581868906E+01  2.243438136E+00  4.35E-04  1.25E-01  7.55E-06  2.57E+01  2.09E+02
  1160  2.603648778E+01  2.231918575E+00  4.34E-04  1.24E-01  7.54E-06  2.58E+01  5.17E+01
  1170  3.043205764E+01  2.028812669E+00  4.10E-04  1.13E-01  7.80E-06  2.59E+01  1.26E+01
  1180  4.847492630E+01  1.410200772E+00  3.18E-04  7.83E-02  8.67E-06  2.60E+01  1.01E+01
  1190  6.823282222E+01  9.615380950E-01  1.90E-04  5.34E-02  7.59E-06  2.61E+01  3.28E+01
  1200  6.907552977E+01  9.497579367E-01  1.83E-04  5.28E-02  7.35E-06  2.62E+01  6.81E+01
  1210  6.937130156E+01  9.457998542E-01  1.81E-04  5.25E-02  7.24E-06  2.64E+01  1.02E+02
  1220  6.944541715E+01  9.448138970E-01  1.80E-04  5.25E-02  7.20E-06  2.65E+01  1.89E+02
  1230  6.945218360E+01  9.447167658E-01  1.80E-04  5.25E-02  7.17E-06  2.66E+01  4.70E+02
  1240  6.945435294E+01  9.446752048E-01  1.80E-04  5.25E-02  7.14E-06  2.67E+01  1.34E+03
  1250  6.945634722E+01  9.446167731E-01  1.80E-04  5.25E-02  7.10E-06  2.68E+01  1.02E+03
  1260  6.946255179E+01  9.444183789E-01  1.80E-04  5.25E-02  7.09E-06  2.69E+01  5.72E+02
  1270  6.947129094E+01  9.441316893E-01  1.80E-04  5.25E-02  7.05E-06  2.70E+01  4.13E+02
  1280  6.950999291E+01  9.428432814E-01  1.80E-04  5.24E-02  7.03E-06  2.71E+01  2.17E+02
  1290  6.963589068E+01  9.386347561E-01  1.79E-04  5.21E-02  7.02E-06  2.72E+01  1.29E+02
  1300  7.028581409E+01  9.169010788E-01  1.77E-04  5.09E-02  7.08E-06  2.73E+01  5.11E+01
  1310  7.178182727E+01  8.669197648E-01  1.72E-04  4.82E-02  7.24E-06  2.74E+01  3.29E+01

   Itn   abs(x(1))          norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
  1320  7.588145075E+01  7.302935413E-01  1.58E-04  4.06E-02  7.86E-06  2.75E+01  2.84E+01
  1330  8.441144467E+01  4.474424026E-01  1.24E-04  2.49E-02  1.00E-05  2.76E+01  1.01E+01
  1340  9.355582992E+01  1.461297456E-01  7.06E-05  8.12E-03  1.74E-05  2.77E+01  1.01E+01
  1350  9.671983247E+01  4.355032193E-02  3.76E-05  2.42E-03  3.10E-05  2.78E+01  1.48E+01
  1360  9.774989821E+01  1.549876291E-02  1.60E-05  8.61E-04  3.70E-05  2.79E+01  1.05E+01
  1370  9.788236878E+01  1.392097424E-02  1.04E-05  7.73E-04  2.65E-05  2.80E+01  2.00E+01
  1380  9.791519974E+01  1.371490550E-02  8.38E-06  7.62E-04  2.17E-05  2.82E+01  1.75E+01
  1390  9.795599622E+01  1.357359832E-02  4.92E-06  7.54E-04  1.29E-05  2.82E+01  1.01E+01
  1400  9.796879400E+01  1.355707929E-02  3.13E-06  7.53E-04  8.15E-06  2.83E+01  1.59E+01
  1410  9.797415201E+01  1.355406822E-02  1.94E-06  7.53E-04  5.02E-06  2.84E+01  1.01E+01
  1420  9.797633522E+01  1.355352374E-02  1.13E-06  7.53E-04  2.92E-06  2.85E+01  1.01E+01
  1430  9.797702350E+01  1.355343341E-02  6.95E-07  7.53E-04  1.79E-06  2.86E+01  1.01E+01
  1440  9.797724605E+01  1.355341043E-02  4.75E-07  7.53E-04  1.22E-06  2.88E+01  1.36E+01
  1450  9.797734737E+01  1.355339914E-02  3.24E-07  7.53E-04  8.29E-07  2.88E+01  1.59E+01
  1460  9.797739853E+01  1.355339360E-02  2.06E-07  7.53E-04  5.26E-07  2.89E+01  1.01E+01
  1470  9.797742040E+01  1.355339156E-02  1.24E-07  7.53E-04  3.16E-07  2.90E+01  1.05E+01
  1480  9.797742717E+01  1.355339085E-02  7.74E-08  7.53E-04  1.96E-07  2.91E+01  1.13E+01
  1490  9.797742966E+01  1.355339060E-02  4.54E-08  7.53E-04  1.15E-07  2.92E+01  1.08E+01
  1500  9.797743049E+01  1.355339052E-02  2.48E-08  7.53E-04  6.23E-08  2.93E+01  1.07E+01
  1510  9.797743071E+01  1.355339051E-02  1.76E-08  7.53E-04  4.41E-08  2.94E+01  1.87E+01

   Itn   abs(x(1))          norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
  1520  9.797743081E+01  1.355339050E-02  1.40E-08  7.53E-04  3.50E-08  2.95E+01  1.46E+01
  1530  9.797743086E+01  1.355339048E-02  1.14E-08  7.53E-04  2.83E-08  2.96E+01  2.21E+01
  1540  9.797743087E+01  1.355339047E-02  9.17E-09  7.53E-04  2.28E-08  2.97E+01  1.40E+01
  1550  9.797743088E+01  1.355339046E-02  7.35E-09  7.53E-04  1.82E-08  2.98E+01  1.31E+01
  1560  9.797743088E+01  1.355339046E-02  5.26E-09  7.53E-04  1.30E-08  2.99E+01  1.27E+01
  1570  9.797743089E+01  1.355339045E-02  4.02E-09  7.53E-04  9.89E-09  3.00E+01  1.59E+01
  1580  9.797743089E+01  1.355339045E-02  2.83E-09  7.53E-04  6.93E-09  3.01E+01  1.01E+01
  1590  9.797743089E+01  1.355339045E-02  2.16E-09  7.53E-04  5.28E-09  3.02E+01  1.90E+01
  1600  9.797743090E+01  1.355339045E-02  1.67E-09  7.53E-04  4.07E-09  3.03E+01  1.46E+01
  1610  9.797743090E+01  1.355339045E-02  1.39E-09  7.53E-04  3.39E-09  3.04E+01  1.13E+01
  1620  9.797743092E+01  1.355339045E-02  1.02E-09  7.53E-04  2.47E-09  3.05E+01  1.49E+01
  1630  9.797743093E+01  1.355339045E-02  6.42E-10  7.53E-04  1.55E-09  3.06E+01  1.15E+01
  1640  9.797743093E+01  1.355339045E-02  4.46E-10  7.53E-04  1.07E-09  3.07E+01  1.19E+01
  1650  9.797743093E+01  1.355339045E-02  3.38E-10  7.53E-04  8.11E-10  3.07E+01  1.80E+01
  1660  9.797743093E+01  1.355339045E-02  2.01E-10  7.53E-04  4.80E-10  3.09E+01  2.14E+01
  1670  9.797743093E+01  1.355339045E-02  1.33E-10  7.53E-04  3.17E-10  3.10E+01  1.01E+01
  1680  9.797743094E+01  1.355339045E-02  7.95E-11  7.53E-04  1.89E-10  3.10E+01  1.01E+01
  1690  9.797743094E+01  1.355339045E-02  4.50E-11  7.53E-04  1.07E-10  3.11E+01  1.81E+01
  1700  9.797743094E+01  1.355339045E-02  3.71E-11  7.53E-04  8.77E-11  3.12E+01  1.98E+01
  1710  9.797743094E+01  1.355339045E-02  3.08E-11  7.53E-04  7.24E-11  3.13E+01  1.96E+01

   Itn   abs(x(1))          norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
  1720  9.797743094E+01  1.355339045E-02  2.31E-11  7.53E-04  5.43E-11  3.14E+01  2.49E+01
  1730  9.797743094E+01  1.355339045E-02  1.16E-11  7.53E-04  2.72E-11  3.15E+01  1.32E+01
  1740  9.797743094E+01  1.355339045E-02  8.66E-12  7.53E-04  2.02E-11  3.16E+01  1.97E+01
  1750  9.797743094E+01  1.355339045E-02  6.39E-12  7.53E-04  1.49E-11  3.17E+01  1.79E+01
  1760  9.797743094E+01  1.355339045E-02  5.77E-12  7.53E-04  1.34E-11  3.18E+01  1.09E+01
  1770  9.797743094E+01  1.355339045E-02  4.36E-12  7.53E-04  1.01E-11  3.19E+01  2.22E+01
  1780  9.797743094E+01  1.355339045E-02  3.47E-12  7.53E-04  8.00E-12  3.19E+01  1.01E+01
  1790  9.797743094E+01  1.355339045E-02  2.35E-12  7.53E-04  5.42E-12  3.20E+01  2.18E+01
  1800  9.797743094E+01  1.355339045E-02  1.51E-12  7.53E-04  3.47E-12  3.21E+01  1.01E+01
  1810  9.797743094E+01  1.355339045E-02  7.81E-13  7.53E-04  1.79E-12  3.22E+01  1.01E+01
  1820  9.797743094E+01  1.355339045E-02  5.82E-13  7.53E-04  1.33E-12  3.23E+01  1.01E+01
  1830  9.797743094E+01  1.355339045E-02  4.21E-13  7.53E-04  9.58E-13  3.24E+01  1.93E+01
  1840  9.797743094E+01  1.355339045E-02  3.20E-13  7.53E-04  7.27E-13  3.25E+01  2.95E+01
  1850  9.797743094E+01  1.355339045E-02  2.34E-13  7.53E-04  5.31E-13  3.26E+01  1.71E+01
  1860  9.797743094E+01  1.355339045E-02  1.23E-13  7.53E-04  2.78E-13  3.27E+01  1.01E+01
  1870  9.797743094E+01  1.355339045E-02  1.02E-13  7.53E-04  2.30E-13  3.28E+01  2.02E+01
  1880  9.797743094E+01  1.355339045E-02  8.99E-14  7.53E-04  2.02E-13  3.28E+01  1.79E+01
  1890  9.797743094E+01  1.355339045E-02  8.29E-14  7.53E-04  1.86E-13  3.29E+01  5.93E+01
  1900  9.797743094E+01  1.355339045E-02  6.29E-14  7.53E-04  1.41E-13  3.30E+01  1.74E+01
  1910  9.797743094E+01  1.355339045E-02  6.04E-14  7.53E-04  1.35E-13  3.31E+01  1.42E+01

   Itn   abs(x(1))          norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
  1920  9.797743094E+01  1.355339045E-02  5.08E-14  7.53E-04  1.13E-13  3.32E+01  5.15E+01
  1930  9.797743094E+01  1.355339045E-02  4.27E-14  7.53E-04  9.46E-14  3.33E+01  1.75E+01
  1940  9.797743094E+01  1.355339045E-02  3.44E-14  7.53E-04  7.61E-14  3.34E+01  2.87E+01
  1950  9.797743094E+01  1.355339045E-02  3.16E-14  7.53E-04  6.96E-14  3.34E+01  2.57E+01
  1960  9.797743094E+01  1.355339045E-02  3.06E-14  7.53E-04  6.72E-14  3.35E+01  4.16E+01
  1970  9.797743094E+01  1.355339045E-02  2.80E-14  7.53E-04  6.14E-14  3.36E+01  8.10E+01
  1980  9.797743094E+01  1.355339045E-02  2.77E-14  7.53E-04  6.07E-14  3.37E+01  7.25E+01
  1990  9.797743094E+01  1.355339045E-02  2.14E-14  7.53E-04  4.67E-14  3.38E+01  1.04E+01
  2000  9.797743094E+01  1.355339045E-02  1.21E-14  7.53E-04  2.64E-14  3.39E+01  3.71E+01
  2010  9.797743094E+01  1.355339045E-02  1.20E-14  7.53E-04  2.60E-14  3.40E+01  9.68E+01
  2020  9.797743094E+01  1.355339045E-02  1.16E-14  7.53E-04  2.52E-14  3.40E+01  2.12E+01
  2030  9.797743094E+01  1.355339045E-02  1.01E-14  7.53E-04  2.19E-14  3.41E+01  2.83E+01
  2040  9.797743094E+01  1.355339045E-02  8.71E-15  7.53E-04  1.88E-14  3.42E+01  1.11E+01
  2050  9.797743094E+01  1.355339045E-02  7.86E-15  7.53E-04  1.69E-14  3.43E+01  3.49E+01
  2060  9.797743094E+01  1.355339045E-02  7.76E-15  7.53E-04  1.66E-14  3.44E+01  4.88E+01
  2070  9.797743094E+01  1.355339045E-02  7.00E-15  7.53E-04  1.50E-14  3.45E+01  2.58E+01
  2080  9.797743094E+01  1.355339045E-02  6.80E-15  7.53E-04  1.45E-14  3.46E+01  7.75E+01
  2090  9.797743094E+01  1.355339045E-02  6.77E-15  7.53E-04  1.44E-14  3.46E+01  7.79E+01
  2100  9.797743094E+01  1.355339045E-02  6.52E-15  7.53E-04  1.39E-14  3.47E+01  2.76E+01
  2110  9.797743094E+01  1.355339045E-02  5.71E-15  7.53E-04  1.21E-14  3.48E+01  2.72E+01

   Itn   abs(x(1))          norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
  2120  9.797743094E+01  1.355339045E-02  5.31E-15  7.53E-04  1.12E-14  3.49E+01  4.86E+01
  2130  9.797743094E+01  1.355339045E-02  5.25E-15  7.53E-04  1.11E-14  3.50E+01  1.33E+02
  2135  9.797743094E+01  1.355339045E-02  5.21E-15  7.53E-04  1.10E-14  3.50E+01  5.42E+01
  2136  9.797743094E+01  1.355339045E-02  5.18E-15  7.53E-04  1.09E-14  3.50E+01  1.77E+01
  2137  9.797743094E+01  1.355339045E-02  5.18E-15  7.53E-04  1.09E-14  3.50E+01  5.67E+01
  2138  9.797743094E+01  1.355339045E-02  5.16E-15  7.53E-04  1.09E-14  3.50E+01  2.81E+01
  2139  9.797743094E+01  1.355339045E-02  5.16E-15  7.53E-04  1.09E-14  3.50E+01  4.34E+01
  2140  9.797743094E+01  1.355339045E-02  5.06E-15  7.53E-04  1.06E-14  3.51E+01  4.27E+01
  2141  9.797743094E+01  1.355339045E-02  4.97E-15  7.53E-04  1.05E-14  3.51E+01  2.21E+01
  2142  9.797743094E+01  1.355339045E-02  4.95E-15  7.53E-04  1.04E-14  3.51E+01  3.03E+01
  2143  9.797743094E+01  1.355339045E-02  4.81E-15  7.53E-04  1.01E-14  3.51E+01  1.65E+01
  2144  9.797743094E+01  1.355339045E-02  4.52E-15  7.53E-04  9.50E-15  3.51E+01  1.42E+01

 Exit  LSMR.       istop  = 3               itn    =    2144
 Exit  LSMR.       normA  = 3.50936E+01     condA  = 1.41523E+01
 Exit  LSMR.       normb  = 1.80000E+01     normx  = 1.35532E+04
 Exit  LSMR.       normr  = 1.35534E-02     normAr = 4.51753E-15
 Exit  LSMR.       The estimate of cond(Abar) has exceeded conlim       


 Enter xcheck.     Does x solve Ax = b, etc?
    damp            = 1.000E-06
    norm(x)         = 1.355E+04
    norm(r)         = 7.35147027E-05 = rho1
    norm(A'r)       = 1.355E-08      = sigma1

    norm(s)         = 7.351E+01
    norm(x,s)       = 1.355E+04
    norm(rbar)      = 1.35533905E-02 = rho2
    norm(Abar'rbar) = 2.967E-12      = sigma2

    inform          = 1
    tol             = 1.000E-06
    test1           = 1.546E-10 (Ax = b)
    test2           = 5.253E-06 (least-squares)
    test3           = 6.239E-12 (damped least-squares)
 LSMR  appears to be successful.  Itns =   2144  norm(r) = 1.36E-02  norm(A'r) = 4.52E-15
  
 norm(x) =   13553.191074582930     
 Some of the computed x
 (  97.231971431492013     , -12.063196290791664     )
 (  8.8299057189068879     , 1.36069238432113375E-002)
 (  67.815113969094426     ,  1.2715932758985991     )
 (  306.24744071439414     , -64.323856496654784     )
 (  867.44227497694146     , -405.34289806823176     )
