

 --------------------------------------------------------------------
 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 =   2.5E-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       x(1)            norm r         A'r    Compatible    LS      norm A    cond A
     0  0.000000000E+00  4.083346741E+01  3.27E+01  1.00E+00  1.96E-02
     1 -1.563949807E+00  1.770096280E+01  8.71E+00  4.33E-01  5.56E-01  8.85E-01  1.13E+00
     2 -8.278649837E-02  1.265968406E+01  3.57E+00  3.10E-01  2.40E-01  1.18E+00  1.41E+00
     3  4.954717868E-01  1.112168243E+01  1.79E+00  2.72E-01  1.16E-01  1.39E+00  1.65E+00
     4  3.301516966E-01  1.055026959E+01  1.02E+00  2.58E-01  6.20E-02  1.56E+00  1.88E+00
     5 -6.791448009E-02  1.030057724E+01  6.30E-01  2.52E-01  3.59E-02  1.70E+00  2.11E+00
     6 -4.438100200E-01  1.017682944E+01  4.13E-01  2.49E-01  2.22E-02  1.83E+00  2.36E+00
     7 -7.145397348E-01  1.010945060E+01  2.81E-01  2.48E-01  1.44E-02  1.93E+00  2.63E+00
     8 -8.706290715E-01  1.007012130E+01  1.97E-01  2.47E-01  9.73E-03  2.02E+00  2.91E+00
     9 -9.283522460E-01  1.004595200E+01  1.41E-01  2.46E-01  6.73E-03  2.09E+00  3.22E+00
    10 -9.102054587E-01  1.003052166E+01  1.02E-01  2.46E-01  4.74E-03  2.15E+00  3.57E+00
    20  1.641635730E-01  1.000037375E+01  3.33E-03  2.45E-01  1.31E-04  2.55E+00  1.35E+01
    30  2.633487257E-01  1.000000697E+01  1.81E-04  2.45E-01  5.75E-06  3.15E+00  3.15E+01
    40  1.981423876E-01  1.000000001E+01  6.37E-07  2.45E-01  1.74E-08  3.66E+00  3.15E+01
    50  1.000554580E-01  1.000000000E+01  1.51E-08  2.45E-01  3.69E-10  4.10E+00  5.55E+01
    60  1.000000015E-01  1.000000000E+01  3.48E-13  2.45E-01  7.75E-15  4.50E+00  5.55E+01
    65  1.000000015E-01  1.000000000E+01  7.81E-15  2.45E-01  1.67E-16  4.67E+00  5.55E+01

 Exit  LSMR.       istop  = 2               itn    =      65
 Exit  LSMR.       normA  = 4.67153E+00     condA  = 5.55477E+01
 Exit  LSMR.       normb  = 4.08335E+01     normx  = 5.81679E+01
 Exit  LSMR.       normr  = 1.00000E+01     normAr = 7.81173E-15
 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)         = 5.817E+01
    norm(r)         = 1.00000000E+01 = rho1
    norm(A'r)       = 2.058E-14      = sigma1

    inform          = 2
    tol             = 1.490E-08
    test1           = 3.199E-02 (Ax = b)
    test2           = 4.406E-16 (least-squares)
    test3           = 4.406E-16 (damped least-squares)

 Solution  x:
     1  0.100000         2  0.200000         3  0.300000         4  0.400000    
     5  0.500000         6  0.600000         7  0.700000         8  0.800000    

 LSMR  appears to be successful.
 Relative error in  x  =  5.05E-13


 --------------------------------------------------------------------
 Least-Squares Test Problem      P(  200  100    4    3    1.00E-03 )
 Condition no. =  9.9796E+02     Residual function =  1.000000123E+01
 --------------------------------------------------------------------


 Enter Acheck.
 Aprod1, Aprod2 seem OK.  Relative error =   5.1E-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       x(1)           norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
     0  0.000000000E+00  3.689386985E+01  2.89E+01  1.00E+00  2.12E-02
     1 -1.972108211E+00  1.756271718E+01  8.17E+00  4.76E-01  5.24E-01  8.88E-01  1.13E+00
     2 -8.344805598E-01  1.294991212E+01  3.51E+00  3.51E-01  2.31E-01  1.17E+00  1.44E+00
     3  2.288849603E-01  1.135147446E+01  1.81E+00  3.08E-01  1.16E-01  1.38E+00  1.73E+00
     4  7.411280219E-01  1.069042719E+01  1.04E+00  2.90E-01  6.33E-02  1.54E+00  2.01E+00
     5  8.187230361E-01  1.038081584E+01  6.34E-01  2.81E-01  3.68E-02  1.66E+00  2.32E+00
     6  6.360330556E-01  1.022151162E+01  4.03E-01  2.77E-01  2.25E-02  1.76E+00  2.67E+00
     7  3.232948830E-01  1.013349179E+01  2.64E-01  2.75E-01  1.42E-02  1.83E+00  3.08E+00
     8 -3.412149563E-02  1.008219249E+01  1.75E-01  2.73E-01  9.17E-03  1.89E+00  3.57E+00
     9 -3.814033288E-01  1.005111521E+01  1.17E-01  2.72E-01  6.00E-03  1.93E+00  4.17E+00
    10 -6.826914044E-01  1.003179365E+01  7.76E-02  2.72E-01  3.94E-03  1.96E+00  4.92E+00
    20 -5.271749497E-01  1.000065008E+01  2.18E-03  2.71E-01  8.80E-05  2.48E+00  1.58E+01
    30  1.456287854E-01  1.000018909E+01  1.35E-04  2.71E-01  4.54E-06  2.98E+00  1.09E+02
    40  2.717001894E-01  1.000017087E+01  5.77E-06  2.71E-01  1.65E-07  3.51E+00  7.22E+01
    50  2.055587461E-01  1.000017043E+01  8.43E-07  2.71E-01  2.21E-08  3.81E+00  2.15E+02
    60  1.142840266E-01  1.000017041E+01  3.82E-08  2.71E-01  9.15E-10  4.17E+00  2.15E+02
    70  1.001105626E-01  1.000017041E+01  3.30E-09  2.71E-01  7.25E-11  4.55E+00  2.15E+02
    80  1.000000018E-01  1.000017041E+01  1.02E-12  2.71E-01  2.09E-14  4.89E+00  2.15E+02
    86  1.000000015E-01  1.000017041E+01  1.68E-14  2.71E-01  3.31E-16  5.08E+00  2.15E+02
    87  1.000000015E-01  1.000017041E+01  1.54E-14  2.71E-01  3.02E-16  5.09E+00  2.15E+02

 Exit  LSMR.       istop  = 3               itn    =      87
 Exit  LSMR.       normA  = 5.09290E+00     condA  = 2.14906E+02
 Exit  LSMR.       normb  = 3.68939E+01     normx  = 5.81679E+01
 Exit  LSMR.       normr  = 1.00002E+01     normAr = 1.53873E-14
 Exit  LSMR.       The estimate of cond(Abar) has exceeded conlim       


 Enter xcheck.     Does x solve Ax = b, etc?
    damp            = 1.000E-03
    norm(x)         = 5.817E+01
    norm(r)         = 1.00000012E+01 = rho1
    norm(A'r)       = 5.817E-05      = sigma1

    norm(s)         = 1.000E+04
    norm(x,s)       = 1.000E+04
    norm(rbar)      = 1.00001704E+01 = rho2
    norm(Abar'rbar) = 2.418E-14      = sigma2

    inform          = 3
    tol             = 1.490E-08
    test1           = 3.002E-02 (Ax = b)
    test2           = 1.142E-06 (least-squares)
    test3           = 4.749E-16 (damped least-squares)

 Solution  x:
     1  0.100000         2  0.200000         3  0.300000         4  0.400000    
     5  0.500000         6  0.600000         7  0.700000         8  0.800000    

 LSMR  appears to be successful.
 Relative error in  x  =  4.14E-12


 --------------------------------------------------------------------
 Least-Squares Test Problem      P(  200  100    4    4    1.00E-04 )
 Condition no. =  9.9967E+03     Residual function =  1.000000006E+01
 --------------------------------------------------------------------


 Enter Acheck.
 Aprod1, Aprod2 seem OK.  Relative error =   3.9E-16


 Enter LSMR.       Least-squares solution of  Ax = b
 The matrix  A  has    200 rows   and    100 columns
 damp   =  1.00000012025703E-04
 atol   =  3.18E-16               conlim =  1.00E+07
 btol   =  3.18E-16               itnlim =      1400
 localSize (no. of vectors for local reorthogonalization) =      0

   Itn       x(1)           norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
     0  0.000000000E+00  3.415882749E+01  2.66E+01  1.00E+00  2.28E-02
     1 -2.197835370E+00  1.712310382E+01  7.64E+00  5.01E-01  4.98E-01  8.96E-01  1.12E+00
     2 -1.540138486E+00  1.291088530E+01  3.31E+00  3.78E-01  2.18E-01  1.18E+00  1.46E+00
     3 -4.892857917E-01  1.137256042E+01  1.70E+00  3.33E-01  1.09E-01  1.37E+00  1.80E+00
     4  3.468298718E-01  1.070380563E+01  9.55E-01  3.13E-01  5.92E-02  1.51E+00  2.17E+00
     5  8.533839629E-01  1.037992803E+01  5.64E-01  3.04E-01  3.38E-02  1.61E+00  2.59E+00
     6  1.053984996E+00  1.021126678E+01  3.41E-01  2.99E-01  1.99E-02  1.68E+00  3.11E+00
     7  1.006194632E+00  1.011910744E+01  2.08E-01  2.96E-01  1.19E-02  1.73E+00  3.75E+00
     8  7.728357185E-01  1.006724876E+01  1.27E-01  2.95E-01  7.15E-03  1.76E+00  4.58E+00
     9  4.161147313E-01  1.003764698E+01  7.66E-02  2.94E-01  4.27E-03  1.79E+00  5.67E+00
    10 -2.672616527E-03  1.002071845E+01  4.53E-02  2.93E-01  2.51E-03  1.80E+00  7.11E+00
    20 -1.044680232E+00  1.000024027E+01  8.49E-04  2.93E-01  3.55E-05  2.39E+00  3.43E+01
    30 -2.211998154E-01  1.000000919E+01  5.83E-05  2.93E-01  1.99E-06  2.93E+00  1.07E+02
    40  9.381624213E-02  1.000000289E+01  7.10E-06  2.93E-01  2.11E-07  3.36E+00  3.72E+02
    50  2.469141755E-01  1.000000188E+01  1.04E-06  2.93E-01  2.76E-08  3.76E+00  9.06E+02
    60  2.861896809E-01  1.000000176E+01  9.23E-08  2.93E-01  2.24E-09  4.12E+00  1.18E+03
    70  2.241743245E-01  1.000000175E+01  9.65E-09  2.93E-01  2.20E-10  4.38E+00  1.07E+02
    80  2.241278122E-01  1.000000175E+01  9.59E-09  2.93E-01  2.05E-10  4.69E+00  1.59E+03
    90  1.113583567E-01  1.000000175E+01  3.01E-10  2.93E-01  6.06E-12  4.97E+00  5.83E+02
   100  1.057899652E-01  1.000000175E+01  2.14E-10  2.93E-01  4.08E-12  5.25E+00  5.35E+03
   110  1.000000228E-01  1.000000175E+01  2.90E-13  2.93E-01  5.24E-15  5.53E+00  5.35E+03

   Itn       x(1)           norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
   120  1.000000144E-01  1.000000175E+01  1.35E-13  2.93E-01  2.34E-15  5.78E+00  5.35E+03
   125  1.000000109E-01  1.000000175E+01  3.23E-15  2.93E-01  5.47E-17  5.90E+00  5.35E+03

 Exit  LSMR.       istop  = 3               itn    =     125
 Exit  LSMR.       normA  = 5.89722E+00     condA  = 5.34945E+03
 Exit  LSMR.       normb  = 3.41588E+01     normx  = 5.81679E+01
 Exit  LSMR.       normr  = 1.00000E+01     normAr = 3.22851E-15
 Exit  LSMR.       The estimate of cond(Abar) has exceeded conlim       


 Enter xcheck.     Does x solve Ax = b, etc?
    damp            = 1.000E-04
    norm(x)         = 5.817E+01
    norm(r)         = 1.00000001E+01 = rho1
    norm(A'r)       = 5.817E-07      = sigma1

    norm(s)         = 1.000E+05
    norm(x,s)       = 1.000E+05
    norm(rbar)      = 1.00000018E+01 = rho2
    norm(Abar'rbar) = 1.517E-14      = sigma2

    inform          = 2
    tol             = 1.490E-08
    test1           = 2.651E-02 (Ax = b)
    test2           = 9.864E-09 (least-squares)
    test3           = 2.573E-16 (damped least-squares)

 Solution  x:
     1  0.100000         2  0.200000         3  0.300000         4  0.400000    
     5  0.500000         6  0.600000         7  0.700000         8  0.800000    

 LSMR  appears to be successful.
 Relative error in  x  =  2.02E-10


 --------------------------------------------------------------------
 Least-Squares Test Problem      P(  200  100    4    5    1.00E-05 )
 Condition no. =  9.9995E+04     Residual function =  1.000000000E+01
 --------------------------------------------------------------------


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


 Enter LSMR.       Least-squares solution of  Ax = b
 The matrix  A  has    200 rows   and    100 columns
 damp   =  1.00000015663682E-05
 atol   =  3.18E-16               conlim =  1.00E+08
 btol   =  3.18E-16               itnlim =      1400
 localSize (no. of vectors for local reorthogonalization) =      0

   Itn       x(1)           norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
     0  0.000000000E+00  3.214437389E+01  2.50E+01  1.00E+00  2.42E-02
     1 -2.293928591E+00  1.663686763E+01  7.17E+00  5.18E-01  4.77E-01  9.04E-01  1.11E+00
     2 -2.042406631E+00  1.273879499E+01  3.07E+00  3.96E-01  2.04E-01  1.18E+00  1.48E+00
     3 -1.173963720E+00  1.128613843E+01  1.54E+00  3.51E-01  1.01E-01  1.35E+00  1.88E+00
     4 -2.639690400E-01  1.064474664E+01  8.31E-01  3.31E-01  5.30E-02  1.47E+00  2.35E+00
     5  4.790976329E-01  1.033349205E+01  4.65E-01  3.21E-01  2.90E-02  1.55E+00  2.93E+00
     6  9.765801633E-01  1.017411254E+01  2.63E-01  3.17E-01  1.61E-02  1.60E+00  3.68E+00
     7  1.205660158E+00  1.009034762E+01  1.48E-01  3.14E-01  8.95E-03  1.63E+00  4.68E+00
     8  1.176376257E+00  1.004607255E+01  8.15E-02  3.13E-01  4.90E-03  1.65E+00  6.04E+00
     9  9.252584906E-01  1.002289380E+01  4.38E-02  3.12E-01  2.62E-03  1.66E+00  7.92E+00
    10  5.121151897E-01  1.001101047E+01  2.27E-02  3.11E-01  1.36E-03  1.67E+00  1.06E+01
    20 -1.268097028E+00  1.000013203E+01  4.03E-04  3.11E-01  1.77E-05  2.28E+00  5.31E+01
    30 -9.047351004E-01  1.000001058E+01  4.20E-05  3.11E-01  1.52E-06  2.77E+00  7.43E+01
    40 -2.299176695E-01  1.000000049E+01  2.26E-06  3.11E-01  6.86E-08  3.30E+00  2.21E+02
    50  6.484527638E-02  1.000000008E+01  3.27E-07  3.11E-01  8.87E-09  3.69E+00  2.53E+03
    60  2.421496630E-01  1.000000002E+01  2.92E-08  3.11E-01  7.25E-10  4.02E+00  5.98E+02
    70  2.582953393E-01  1.000000002E+01  2.40E-08  3.11E-01  5.52E-10  4.34E+00  3.37E+02
    80  2.918432810E-01  1.000000002E+01  1.35E-09  3.11E-01  2.93E-11  4.61E+00  2.77E+03
    90  2.486056658E-01  1.000000002E+01  6.59E-10  3.11E-01  1.35E-11  4.89E+00  3.37E+02
   100  2.354696515E-01  1.000000002E+01  1.01E-10  3.11E-01  1.96E-12  5.15E+00  1.33E+04
   110  2.354642632E-01  1.000000002E+01  1.01E-10  3.11E-01  1.87E-12  5.40E+00  1.05E+04

   Itn       x(1)           norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
   120  1.176016588E-01  1.000000002E+01  2.75E-11  3.11E-01  4.87E-13  5.65E+00  4.73E+02
   130  1.082833206E-01  1.000000002E+01  2.96E-12  3.11E-01  5.01E-14  5.90E+00  4.73E+02
   140  1.082326344E-01  1.000000002E+01  2.19E-12  3.11E-01  3.57E-14  6.12E+00  4.40E+04
   150  1.043903222E-01  1.000000002E+01  1.60E-12  3.11E-01  2.52E-14  6.33E+00  7.55E+02
   160  1.042983263E-01  1.000000002E+01  1.58E-12  3.11E-01  2.41E-14  6.54E+00  7.55E+02
   170  1.000007358E-01  1.000000002E+01  1.68E-15  3.11E-01  2.49E-17  6.73E+00  7.55E+02

 Exit  LSMR.       istop  = 3               itn    =     170
 Exit  LSMR.       normA  = 6.73133E+00     condA  = 7.54904E+02
 Exit  LSMR.       normb  = 3.21444E+01     normx  = 5.81679E+01
 Exit  LSMR.       normr  = 1.00000E+01     normAr = 1.67851E-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)         = 5.817E+01
    norm(r)         = 1.00000000E+01 = rho1
    norm(A'r)       = 5.817E-09      = sigma1

    norm(s)         = 1.000E+06
    norm(x,s)       = 1.000E+06
    norm(rbar)      = 1.00000000E+01 = rho2
    norm(Abar'rbar) = 2.915E-14      = sigma2

    inform          = 2
    tol             = 1.490E-08
    test1           = 2.360E-02 (Ax = b)
    test2           = 8.641E-11 (least-squares)
    test3           = 4.331E-16 (damped least-squares)

 Solution  x:
     1  0.100001         2  0.200000         3  0.300000         4  0.400001    
     5  0.500000         6  0.600000         7  0.700000         8  0.800000    

 LSMR  appears to be successful.
 Relative error in  x  =  2.24E-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 =   4.1E-16


 Enter LSMR.       Least-squares solution of  Ax = b
 The matrix  A  has    200 rows   and    100 columns
 damp   =  1.00000022484892E-06
 atol   =  3.18E-16               conlim =  1.00E+09
 btol   =  3.18E-16               itnlim =      1400
 localSize (no. of vectors for local reorthogonalization) =      0

   Itn       x(1)           norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
     0  0.000000000E+00  3.059855986E+01  2.38E+01  1.00E+00  2.54E-02
     1 -2.312020044E+00  1.617366758E+01  6.76E+00  5.29E-01  4.58E-01  9.13E-01  1.10E+00
     2 -2.365761190E+00  1.251908796E+01  2.82E+00  4.09E-01  1.91E-01  1.18E+00  1.51E+00
     3 -1.703584811E+00  1.115319532E+01  1.36E+00  3.65E-01  9.10E-02  1.34E+00  1.97E+00
     4 -8.272149711E-01  1.055432546E+01  6.96E-01  3.45E-01  4.59E-02  1.44E+00  2.56E+00
     5  2.768344221E-02  1.027018976E+01  3.64E-01  3.36E-01  2.37E-02  1.50E+00  3.35E+00
     6  7.232923852E-01  1.013063578E+01  1.90E-01  3.31E-01  1.22E-02  1.53E+00  4.42E+00
     7  1.173382117E+00  1.006172741E+01  9.70E-02  3.29E-01  6.22E-03  1.55E+00  5.92E+00
     8  1.334829248E+00  1.002821181E+01  4.80E-02  3.28E-01  3.07E-03  1.56E+00  8.08E+00
     9  1.209684068E+00  1.001238128E+01  2.28E-02  3.27E-01  1.46E-03  1.57E+00  1.13E+01
    10  8.450538927E-01  1.000518940E+01  1.04E-02  3.27E-01  6.60E-04  1.57E+00  1.60E+01
    20 -1.127775842E+00  1.000008879E+01  2.42E-04  3.27E-01  1.11E-05  2.19E+00  1.25E+02
    30 -1.152244474E+00  1.000000351E+01  1.71E-05  3.27E-01  6.01E-07  2.85E+00  1.62E+02
    40 -6.527660441E-01  1.000000025E+01  9.97E-07  3.27E-01  3.11E-08  3.21E+00  1.62E+02
    50 -2.695105318E-01  1.000000003E+01  1.45E-07  3.27E-01  4.06E-09  3.56E+00  7.39E+02
    60  4.618193330E-02  1.000000000E+01  1.83E-08  3.27E-01  4.71E-10  3.89E+00  7.39E+02
    70  2.353100436E-01  1.000000000E+01  2.18E-09  3.27E-01  5.13E-11  4.24E+00  7.39E+02
    80  2.392446223E-01  1.000000000E+01  7.85E-10  3.27E-01  1.74E-11  4.51E+00  4.15E+03
    90  2.524059983E-01  1.000000000E+01  6.84E-10  3.27E-01  1.41E-11  4.85E+00  7.39E+02
   100  2.941651381E-01  1.000000000E+01  1.93E-11  3.27E-01  3.80E-13  5.09E+00  7.39E+02
   110  2.941647140E-01  1.000000000E+01  1.93E-11  3.27E-01  3.63E-13  5.32E+00  5.27E+04

   Itn       x(1)           norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
   120  2.926573333E-01  1.000000000E+01  1.90E-11  3.27E-01  3.44E-13  5.54E+00  7.39E+02
   130  2.842793012E-01  1.000000000E+01  1.74E-11  3.27E-01  3.03E-13  5.73E+00  7.39E+02
   140  2.429343382E-01  1.000000000E+01  1.04E-12  3.27E-01  1.73E-14  6.01E+00  7.39E+02
   150  2.429292620E-01  1.000000000E+01  1.04E-12  3.27E-01  1.67E-14  6.20E+00  8.17E+02
   160  2.429275252E-01  1.000000000E+01  1.04E-12  3.27E-01  1.62E-14  6.39E+00  3.52E+05
   170  1.057230983E-01  1.000000000E+01  2.04E-14  3.27E-01  3.11E-16  6.58E+00  8.46E+02

 Exit  LSMR.       istop  = 3               itn    =     170
 Exit  LSMR.       normA  = 6.57597E+00     condA  = 8.45959E+02
 Exit  LSMR.       normb  = 3.05986E+01     normx  = 5.81678E+01
 Exit  LSMR.       normr  = 1.00000E+01     normAr = 2.04466E-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)         = 5.817E+01
    norm(r)         = 1.00000000E+01 = rho1
    norm(A'r)       = 5.818E-11      = sigma1

    norm(s)         = 1.000E+07
    norm(x,s)       = 1.000E+07
    norm(rbar)      = 1.00000000E+01 = rho2
    norm(Abar'rbar) = 3.337E-14      = sigma2

    inform          = 2
    tol             = 1.490E-08
    test1           = 2.421E-02 (Ax = b)
    test2           = 8.848E-13 (least-squares)
    test3           = 5.075E-16 (damped least-squares)

 Solution  x:
     1  0.105723         2  0.199965         3  0.294010         4  0.387919    
     5  0.501177         6  0.601490         7  0.701782         8  0.802058    

 LSMR  appears to be successful.
 Relative error in  x  =  2.56E-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 =   4.1E-16


 Enter LSMR.       Least-squares solution of  Ax = b
 The matrix  A  has    200 rows   and    100 columns
 damp   =  1.00000022484892E-06
 atol   =  3.18E-16               conlim =  1.00E+09
 btol   =  3.18E-16               itnlim =      1400
 localSize (no. of vectors for local reorthogonalization) =     10

   Itn       x(1)           norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
     0  0.000000000E+00  3.059855986E+01  2.38E+01  1.00E+00  2.54E-02
     1 -2.312020044E+00  1.617366758E+01  6.76E+00  5.29E-01  4.58E-01  9.13E-01  1.10E+00
     2 -2.365761190E+00  1.251908796E+01  2.82E+00  4.09E-01  1.91E-01  1.18E+00  1.51E+00
     3 -1.703584811E+00  1.115319532E+01  1.36E+00  3.65E-01  9.10E-02  1.34E+00  1.97E+00
     4 -8.272149711E-01  1.055432546E+01  6.96E-01  3.45E-01  4.59E-02  1.44E+00  2.56E+00
     5  2.768344221E-02  1.027018976E+01  3.64E-01  3.36E-01  2.37E-02  1.50E+00  3.35E+00
     6  7.232923852E-01  1.013063578E+01  1.90E-01  3.31E-01  1.22E-02  1.53E+00  4.42E+00
     7  1.173382117E+00  1.006172741E+01  9.70E-02  3.29E-01  6.22E-03  1.55E+00  5.92E+00
     8  1.334829248E+00  1.002821181E+01  4.80E-02  3.28E-01  3.07E-03  1.56E+00  8.08E+00
     9  1.209684071E+00  1.001238128E+01  2.28E-02  3.27E-01  1.46E-03  1.57E+00  1.13E+01
    10  8.450532520E-01  1.000518940E+01  1.04E-02  3.27E-01  6.60E-04  1.57E+00  1.60E+01
    20 -1.130228868E+00  1.000008713E+01  2.40E-04  3.27E-01  1.10E-05  2.19E+00  1.07E+02
    30 -1.039303752E+00  1.000000160E+01  9.08E-06  3.27E-01  3.19E-07  2.84E+00  1.34E+02
    40 -6.527533486E-01  1.000000025E+01  9.97E-07  3.27E-01  3.11E-08  3.21E+00  1.90E+03
    50 -2.693827466E-01  1.000000003E+01  1.45E-07  3.27E-01  4.06E-09  3.56E+00  1.92E+03
    60  4.823151025E-02  1.000000000E+01  1.42E-08  3.27E-01  3.66E-10  3.87E+00  6.07E+02
    70  2.392308300E-01  1.000000000E+01  7.93E-10  3.27E-01  1.90E-11  4.17E+00  1.10E+03
    80  2.392449861E-01  1.000000000E+01  7.85E-10  3.27E-01  1.73E-11  4.53E+00  1.10E+03
    90  2.711783477E-01  1.000000000E+01  5.08E-10  3.27E-01  1.06E-11  4.81E+00  1.10E+03
   100  2.937425909E-01  1.000000000E+01  7.17E-11  3.27E-01  1.42E-12  5.04E+00  1.10E+03
   110  2.941645103E-01  1.000000000E+01  1.93E-11  3.27E-01  3.64E-13  5.31E+00  1.50E+03

   Itn       x(1)           norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
   120  2.941594434E-01  1.000000000E+01  1.93E-11  3.27E-01  3.49E-13  5.54E+00  2.30E+04
   130  2.430198810E-01  1.000000000E+01  1.30E-12  3.27E-01  2.27E-14  5.75E+00  1.10E+03
   140  2.429342526E-01  1.000000000E+01  1.04E-12  3.27E-01  1.74E-14  5.95E+00  1.18E+04
   150  2.429296793E-01  1.000000000E+01  1.04E-12  3.27E-01  1.67E-14  6.23E+00  1.10E+03
   160  2.429296719E-01  1.000000000E+01  1.04E-12  3.27E-01  1.62E-14  6.42E+00  6.25E+04
   170  1.175580870E-01  1.000000000E+01  3.05E-13  3.27E-01  4.63E-15  6.60E+00  1.92E+03
   180  1.133258858E-01  1.000000000E+01  2.45E-13  3.27E-01  3.63E-15  6.75E+00  1.83E+03
   190  1.067859080E-01  1.000000000E+01  9.38E-14  3.27E-01  1.34E-15  6.99E+00  5.01E+03
   200  1.057403421E-01  1.000000000E+01  2.46E-14  3.27E-01  3.41E-16  7.20E+00  5.01E+03
   201  1.057394382E-01  1.000000000E+01  2.44E-14  3.27E-01  3.39E-16  7.20E+00  5.01E+03
   202  1.057370050E-01  1.000000000E+01  2.40E-14  3.27E-01  3.33E-16  7.20E+00  5.01E+03
   203  1.057360058E-01  1.000000000E+01  2.39E-14  3.27E-01  3.31E-16  7.21E+00  5.01E+03
   204  1.057359954E-01  1.000000000E+01  2.39E-14  3.27E-01  3.31E-16  7.21E+00  5.01E+03
   205  1.057358527E-01  1.000000000E+01  2.38E-14  3.27E-01  3.29E-16  7.24E+00  5.01E+03
   206  1.057357448E-01  1.000000000E+01  2.38E-14  3.27E-01  3.28E-16  7.27E+00  5.01E+03
   207  1.057355595E-01  1.000000000E+01  2.38E-14  3.27E-01  3.25E-16  7.31E+00  5.01E+03
   208  1.057355523E-01  1.000000000E+01  2.38E-14  3.27E-01  3.25E-16  7.31E+00  5.01E+03
   209  1.057354955E-01  1.000000000E+01  2.38E-14  3.27E-01  3.24E-16  7.33E+00  5.01E+03
   210  1.057350246E-01  1.000000000E+01  2.37E-14  3.27E-01  3.22E-16  7.36E+00  5.01E+03
   211  1.056928540E-01  1.000000000E+01  1.52E-14  3.27E-01  2.06E-16  7.37E+00  5.01E+03

 Exit  LSMR.       istop  = 3               itn    =     211
 Exit  LSMR.       normA  = 7.36932E+00     condA  = 5.00572E+03
 Exit  LSMR.       normb  = 3.05986E+01     normx  = 5.81679E+01
 Exit  LSMR.       normr  = 1.00000E+01     normAr = 1.52008E-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)         = 5.817E+01
    norm(r)         = 1.00000000E+01 = rho1
    norm(A'r)       = 5.818E-11      = sigma1

    norm(s)         = 1.000E+07
    norm(x,s)       = 1.000E+07
    norm(rbar)      = 1.00000000E+01 = rho2
    norm(Abar'rbar) = 2.856E-14      = sigma2

    inform          = 2
    tol             = 1.490E-08
    test1           = 2.177E-02 (Ax = b)
    test2           = 7.894E-13 (least-squares)
    test3           = 3.876E-16 (damped least-squares)

 Solution  x:
     1  0.105693         2  0.199910         3  0.294046         4  0.387940    
     5  0.501188         6  0.601557         7  0.701896         8  0.802178    

 LSMR  appears to be successful.
 Relative error in  x  =  2.56E-04


 --------------------------------------------------------------------
 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 =   1.9E-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       x(1)            norm r         A'r    Compatible    LS      norm A    cond A
     0  0.000000000E+00  3.959005002E+01  3.27E+01  1.00E+00  2.08E-02
     1 -1.563949807E+00  1.460561823E+01  8.71E+00  3.69E-01  6.74E-01  8.85E-01  1.13E+00
     2 -8.278649837E-02  7.763221021E+00  3.57E+00  1.96E-01  3.91E-01  1.18E+00  1.41E+00
     3  4.954717868E-01  4.867424382E+00  1.79E+00  1.23E-01  2.65E-01  1.39E+00  1.65E+00
     4  3.301516966E-01  3.362764994E+00  1.02E+00  8.49E-02  1.94E-01  1.56E+00  1.88E+00
     5 -6.791448009E-02  2.470200684E+00  6.30E-01  6.24E-02  1.50E-01  1.70E+00  2.11E+00
     6 -4.438100200E-01  1.888877299E+00  4.13E-01  4.77E-02  1.20E-01  1.83E+00  2.36E+00
     7 -7.145397348E-01  1.483573842E+00  2.81E-01  3.75E-02  9.84E-02  1.93E+00  2.63E+00
     8 -8.706290715E-01  1.186314906E+00  1.97E-01  3.00E-02  8.26E-02  2.02E+00  2.91E+00
     9 -9.283522460E-01  9.597664402E-01  1.41E-01  2.42E-02  7.04E-02  2.09E+00  3.22E+00
    10 -9.102054587E-01  7.818982170E-01  1.02E-01  1.97E-02  6.08E-02  2.15E+00  3.57E+00
    20  1.641226890E-01  8.646889573E-02  3.33E-03  2.18E-03  1.51E-02  2.55E+00  1.36E+01
    30  2.655010850E-01  1.276658957E-02  1.90E-04  3.22E-04  4.72E-03  3.15E+00  5.30E+01
    40  1.981427568E-01  3.978978053E-04  6.37E-07  1.01E-05  4.38E-04  3.66E+00  7.75E+01
    50  1.000058552E-01  4.765574102E-08  4.91E-09  1.20E-09  2.53E-02  4.06E+00  2.88E+01
    60  1.000000015E-01  2.395137227E-12  2.31E-13  6.05E-14  2.15E-02  4.50E+00  2.88E+01
    65  1.000000015E-01  3.276002797E-14  4.37E-15  8.27E-16  2.86E-02  4.67E+00  2.88E+01

 Exit  LSMR.       istop  = 1               itn    =      65
 Exit  LSMR.       normA  = 4.67126E+00     condA  = 2.88344E+01
 Exit  LSMR.       normb  = 3.95901E+01     normx  = 5.81679E+01
 Exit  LSMR.       normr  = 3.27600E-14     normAr = 4.37240E-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)         = 5.817E+01
    norm(r)         = 3.65361645E-14 = rho1
    norm(A'r)       = 1.436E-14      = sigma1

    inform          = 1
    tol             = 1.490E-08
    test1           = 1.174E-16 (Ax = b)
    test2           = 8.415E-02 (least-squares)
    test3           = 8.415E-02 (damped least-squares)

 Solution  x:
     1  0.100000         2  0.200000         3  0.300000         4  0.400000    
     5  0.500000         6  0.600000         7  0.700000         8  0.800000    

 LSMR  appears to be successful.
 Relative error in  x  =  2.09E-14


 --------------------------------------------------------------------
 Least-Squares Test Problem      P(  100  100    4    3    1.00E-09 )
 Condition no. =  1.5625E+04     Residual function =  4.964597172E-15
 --------------------------------------------------------------------


 Enter Acheck.
 Aprod1, Aprod2 seem OK.  Relative error =   1.3E-16


 Enter LSMR.       Least-squares solution of  Ax = b
 The matrix  A  has    100 rows   and    100 columns
 damp   =  1.00000030478498E-09
 atol   =  3.18E-16               conlim =  1.56E+07
 btol   =  3.18E-16               itnlim =      1000
 localSize (no. of vectors for local reorthogonalization) =      0

   Itn       x(1)           norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
     0  0.000000000E+00  3.551268564E+01  2.89E+01  1.00E+00  2.29E-02
     1 -1.972110028E+00  1.443760992E+01  8.17E+00  4.07E-01  6.37E-01  8.88E-01  1.13E+00
     2 -8.344845765E-01  8.227771706E+00  3.51E+00  2.32E-01  3.63E-01  1.17E+00  1.44E+00
     3  2.288824408E-01  5.371419985E+00  1.81E+00  1.51E-01  2.45E-01  1.38E+00  1.73E+00
     4  7.411300876E-01  3.779087963E+00  1.04E+00  1.06E-01  1.79E-01  1.54E+00  2.01E+00
     5  8.187305683E-01  2.785259008E+00  6.34E-01  7.84E-02  1.37E-01  1.66E+00  2.32E+00
     6  6.360446153E-01  2.115578217E+00  4.03E-01  5.96E-02  1.09E-01  1.76E+00  2.67E+00
     7  3.233068241E-01  1.638310002E+00  2.64E-01  4.61E-02  8.78E-02  1.83E+00  3.08E+00
     8 -3.411511194E-02  1.283368893E+00  1.75E-01  3.61E-02  7.20E-02  1.89E+00  3.57E+00
     9 -3.814111111E-01  1.010628660E+00  1.17E-01  2.85E-02  5.96E-02  1.93E+00  4.17E+00
    10 -6.827252953E-01  7.958375462E-01  7.76E-02  2.24E-02  4.96E-02  1.96E+00  4.92E+00
    20 -5.280993392E-01  9.781909215E-02  2.18E-03  2.75E-03  9.07E-03  2.46E+00  1.86E+01
    30  1.457580451E-01  1.911878309E-02  1.34E-04  5.38E-04  2.35E-03  2.98E+00  1.12E+02
    40  2.864762102E-01  2.710363665E-03  4.60E-06  7.63E-05  4.85E-04  3.50E+00  4.58E+01
    50  2.540795095E-01  4.854553425E-04  2.48E-07  1.37E-05  1.34E-04  3.81E+00  4.58E+01
    60  2.049591259E-01  1.702081842E-05  2.21E-09  4.79E-07  3.06E-05  4.24E+00  6.65E+01
    70  2.049547479E-01  1.702053520E-05  1.09E-09  4.79E-07  1.41E-05  4.55E+00  4.29E+03
    80  1.822125867E-01  1.333248332E-05  9.64E-10  3.75E-07  1.49E-05  4.85E+00  9.49E+01
    90  1.000001249E-01  5.816788381E-08  1.18E-12  1.64E-09  3.93E-06  5.16E+00  9.49E+01
   100  1.000000015E-01  5.816787938E-08  1.23E-14  1.64E-09  3.89E-08  5.43E+00  9.49E+01
   110  1.000000015E-01  5.816787932E-08  5.44E-17  1.64E-09  1.63E-10  5.74E+00  3.37E+02

   Itn       x(1)           norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
   120  1.000000015E-01  5.816787932E-08  2.35E-18  1.64E-09  6.74E-12  6.00E+00  3.30E+02
   130  1.000000015E-01  5.816787932E-08  2.34E-19  1.64E-09  6.46E-13  6.22E+00  3.30E+02
   140  1.000000015E-01  5.816787932E-08  3.68E-22  1.64E-09  9.77E-16  6.47E+00  3.30E+02
   143  1.000000015E-01  5.816787932E-08  1.05E-22  1.64E-09  2.76E-16  6.53E+00  3.30E+02

 Exit  LSMR.       istop  = 3               itn    =     143
 Exit  LSMR.       normA  = 6.52610E+00     condA  = 3.30223E+02
 Exit  LSMR.       normb  = 3.55127E+01     normx  = 5.81679E+01
 Exit  LSMR.       normr  = 5.81679E-08     normAr = 1.04594E-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)         = 5.817E+01
    norm(r)         = 2.48778082E-14 = rho1
    norm(A'r)       = 1.914E-14      = sigma1

    norm(s)         = 2.488E-05
    norm(x,s)       = 5.817E+01
    norm(rbar)      = 5.81678793E-08 = rho2
    norm(Abar'rbar) = 1.913E-14      = sigma2

    inform          = 1
    tol             = 1.490E-08
    test1           = 5.993E-17 (Ax = b)
    test2           = 1.179E-01 (least-squares)
    test3           = 5.041E-08 (damped least-squares)

 Solution  x:
     1  0.100000         2  0.200000         3  0.300000         4  0.400000    
     5  0.500000         6  0.600000         7  0.700000         8  0.800000    

 LSMR  appears to be successful.
 Relative error in  x  =  7.39E-14


 --------------------------------------------------------------------
 Least-Squares Test Problem      P(  100  100    4    4    1.00E-10 )
 Condition no. =  3.9062E+05     Residual function =  1.094293929E-15
 --------------------------------------------------------------------


 Enter Acheck.
 Aprod1, Aprod2 seem OK.  Relative error =   5.2E-16


 Enter LSMR.       Least-squares solution of  Ax = b
 The matrix  A  has    100 rows   and    100 columns
 damp   =  1.00000036029613E-10
 atol   =  3.18E-16               conlim =  3.91E+08
 btol   =  3.18E-16               itnlim =      1000
 localSize (no. of vectors for local reorthogonalization) =      0

   Itn       x(1)           norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
     0  0.000000000E+00  3.266229365E+01  2.66E+01  1.00E+00  2.49E-02
     1 -2.197835389E+00  1.389966315E+01  7.64E+00  4.26E-01  6.14E-01  8.96E-01  1.12E+00
     2 -1.540138542E+00  8.166450591E+00  3.31E+00  2.50E-01  3.44E-01  1.18E+00  1.46E+00
     3 -4.892858575E-01  5.416187643E+00  1.70E+00  1.66E-01  2.30E-01  1.37E+00  1.80E+00
     4  3.468298402E-01  3.817252218E+00  9.55E-01  1.17E-01  1.66E-01  1.51E+00  2.17E+00
     5  8.533840124E-01  2.782600617E+00  5.64E-01  8.52E-02  1.26E-01  1.61E+00  2.59E+00
     6  1.053985165E+00  2.066380940E+00  3.41E-01  6.33E-02  9.82E-02  1.68E+00  3.11E+00
     7  1.006194938E+00  1.547997697E+00  2.08E-01  4.74E-02  7.78E-02  1.73E+00  3.75E+00
     8  7.728361404E-01  1.161662460E+00  1.27E-01  3.56E-02  6.20E-02  1.76E+00  4.58E+00
     9  4.161151729E-01  8.685155580E-01  7.66E-02  2.66E-02  4.93E-02  1.79E+00  5.67E+00
    10 -2.672385183E-03  6.440193740E-01  4.53E-02  1.97E-02  3.91E-02  1.80E+00  7.11E+00
    20 -1.044633355E+00  6.905311539E-02  8.48E-04  2.11E-03  5.08E-03  2.41E+00  2.81E+01
    30 -2.201728901E-01  1.215875817E-02  5.79E-05  3.72E-04  1.66E-03  2.88E+00  1.23E+02
    40  9.647416369E-02  4.675243544E-03  7.02E-06  1.43E-04  4.46E-04  3.36E+00  1.69E+02
    50  2.490069474E-01  1.554117042E-03  1.00E-06  4.76E-05  1.75E-04  3.68E+00  1.23E+02
    60  2.915661867E-01  3.709903959E-04  7.64E-08  1.14E-05  5.08E-05  4.05E+00  3.16E+02
    70  2.576788726E-01  4.161963071E-05  1.71E-09  1.27E-06  9.38E-06  4.38E+00  1.23E+02
    80  2.576633589E-01  4.160710293E-05  1.70E-09  1.27E-06  8.71E-06  4.70E+00  8.96E+02
    90  2.131602595E-01  5.550004086E-06  6.20E-10  1.70E-07  2.25E-05  4.97E+00  1.23E+02
   100  2.063706299E-01  6.900263220E-07  1.87E-12  2.11E-08  5.16E-07  5.25E+00  2.61E+02
   110  2.063705929E-01  6.900261204E-07  1.77E-12  2.11E-08  4.64E-07  5.52E+00  3.98E+03

   Itn       x(1)           norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
   120  2.063677746E-01  6.900078382E-07  1.77E-12  2.11E-08  4.43E-07  5.78E+00  2.61E+04
   130  1.999502816E-01  6.483806240E-07  1.71E-12  1.99E-08  4.41E-07  5.99E+00  2.61E+02
   140  1.000483984E-01  5.825258001E-09  3.77E-14  1.78E-10  1.04E-06  6.19E+00  1.39E+03
   150  1.000000021E-01  5.816788258E-09  1.36E-16  1.78E-10  3.61E-09  6.46E+00  1.39E+03
   160  1.000000016E-01  5.816788258E-09  4.35E-17  1.78E-10  1.13E-09  6.64E+00  1.39E+03
   170  1.000000015E-01  5.816788256E-09  3.65E-17  1.78E-10  9.16E-10  6.84E+00  1.39E+03
   180  1.000000015E-01  5.816788254E-09  1.33E-20  1.78E-10  3.24E-13  7.06E+00  1.39E+03
   190  1.000000015E-01  5.816788254E-09  1.31E-20  1.78E-10  3.12E-13  7.22E+00  1.39E+03
   200  1.000000015E-01  5.816788254E-09  1.10E-20  1.78E-10  2.54E-13  7.43E+00  1.39E+03
   209  1.000000015E-01  5.816788254E-09  1.54E-23  1.78E-10  3.47E-16  7.61E+00  1.39E+03
   210  1.000000015E-01  5.816788254E-09  1.52E-23  1.78E-10  3.44E-16  7.61E+00  1.39E+03
   211  1.000000015E-01  5.816788254E-09  1.38E-23  1.78E-10  3.09E-16  7.68E+00  1.39E+03

 Exit  LSMR.       istop  = 3               itn    =     211
 Exit  LSMR.       normA  = 7.67649E+00     condA  = 1.38604E+03
 Exit  LSMR.       normb  = 3.26623E+01     normx  = 5.81679E+01
 Exit  LSMR.       normr  = 5.81679E-09     normAr = 1.38119E-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)         = 5.817E+01
    norm(r)         = 3.89783354E-14 = rho1
    norm(A'r)       = 3.447E-14      = sigma1

    norm(s)         = 3.898E-04
    norm(x,s)       = 5.817E+01
    norm(rbar)      = 5.81678825E-09 = rho2
    norm(Abar'rbar) = 3.447E-14      = sigma2

    inform          = 1
    tol             = 1.490E-08
    test1           = 8.134E-17 (Ax = b)
    test2           = 1.152E-01 (least-squares)
    test3           = 7.719E-07 (damped least-squares)

 Solution  x:
     1  0.100000         2  0.200000         3  0.300000         4  0.400000    
     5  0.500000         6  0.600000         7  0.700000         8  0.800000    

 LSMR  appears to be successful.
 Relative error in  x  =  1.88E-12


 --------------------------------------------------------------------
 Least-Squares Test Problem      P(  100  100    4    5    1.00E-11 )
 Condition no. =  9.7656E+06     Residual function =  2.664167460E-16
 --------------------------------------------------------------------


 Enter Acheck.
 Aprod1, Aprod2 seem OK.  Relative error =   3.3E-16


 Enter LSMR.       Least-squares solution of  Ax = b
 The matrix  A  has    100 rows   and    100 columns
 damp   =  1.00000034294889E-11
 atol   =  3.18E-16               conlim =  9.77E+09
 btol   =  3.18E-16               itnlim =      1000
 localSize (no. of vectors for local reorthogonalization) =      0

   Itn       x(1)           norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
     0  0.000000000E+00  3.054931704E+01  2.50E+01  1.00E+00  2.67E-02
     1 -2.293928591E+00  1.329606573E+01  7.17E+00  4.35E-01  5.97E-01  9.04E-01  1.11E+00
     2 -2.042406632E+00  7.891571278E+00  3.07E+00  2.58E-01  3.30E-01  1.18E+00  1.48E+00
     3 -1.173963721E+00  5.232295881E+00  1.54E+00  1.71E-01  2.17E-01  1.35E+00  1.88E+00
     4 -2.639690410E-01  3.648373680E+00  8.31E-01  1.19E-01  1.55E-01  1.47E+00  2.35E+00
     5  4.790976327E-01  2.604046372E+00  4.65E-01  8.52E-02  1.15E-01  1.55E+00  2.93E+00
     6  9.765801648E-01  1.874183966E+00  2.63E-01  6.13E-02  8.75E-02  1.60E+00  3.68E+00
     7  1.205660163E+00  1.347261935E+00  1.48E-01  4.41E-02  6.70E-02  1.63E+00  4.68E+00
     8  1.176376265E+00  9.610272023E-01  8.15E-02  3.15E-02  5.13E-02  1.65E+00  6.04E+00
     9  9.252585035E-01  6.770522147E-01  4.38E-02  2.22E-02  3.88E-02  1.66E+00  7.92E+00
    10  5.121151860E-01  4.693933496E-01  2.27E-02  1.54E-02  2.90E-02  1.67E+00  1.06E+01
    20 -1.268098039E+00  5.138259637E-02  4.03E-04  1.68E-03  3.43E-03  2.28E+00  3.55E+01
    30 -7.643532610E-01  1.037618836E-02  3.22E-05  3.40E-04  1.12E-03  2.77E+00  1.89E+02
    40 -2.299344409E-01  3.064174712E-03  2.26E-06  1.00E-04  2.29E-04  3.22E+00  2.96E+02
    50  6.484118787E-02  1.063137820E-03  3.27E-07  3.48E-05  8.34E-05  3.69E+00  2.96E+03
    60  2.423137111E-01  2.799952098E-04  2.89E-08  9.17E-06  2.57E-05  4.02E+00  5.60E+02
    70  2.733242079E-01  1.197840107E-04  1.83E-08  3.92E-06  3.51E-05  4.34E+00  4.04E+02
    80  2.938142102E-01  4.722955014E-05  1.17E-09  1.55E-06  5.38E-06  4.61E+00  1.52E+03
    90  2.863994883E-01  3.722170928E-05  1.04E-09  1.22E-06  5.71E-06  4.89E+00  4.04E+02
   100  2.590366145E-01  3.416933867E-06  1.13E-11  1.12E-07  6.40E-07  5.15E+00  9.58E+02
   110  2.590364047E-01  3.416921320E-06  1.12E-11  1.12E-07  6.06E-07  5.40E+00  6.92E+04

   Itn       x(1)           norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
   120  2.588261010E-01  3.403193827E-06  1.12E-11  1.11E-07  5.85E-07  5.61E+00  1.60E+03
   130  2.131706783E-01  4.233533267E-07  3.94E-12  1.39E-08  1.60E-06  5.83E+00  1.60E+03
   140  2.067012679E-01  2.769232603E-08  5.68E-14  9.06E-10  3.35E-07  6.11E+00  1.60E+03
   150  2.066999139E-01  2.769161809E-08  7.58E-15  9.06E-10  4.32E-08  6.33E+00  1.60E+03
   160  2.066998927E-01  2.769161776E-08  2.84E-15  9.06E-10  1.57E-08  6.53E+00  1.60E+03
   170  2.066998161E-01  2.769159790E-08  2.84E-15  9.06E-10  1.52E-08  6.73E+00  7.58E+04
   180  2.066997874E-01  2.769159045E-08  2.83E-15  9.06E-10  1.48E-08  6.91E+00  1.66E+04
   190  2.066997872E-01  2.769159041E-08  2.83E-15  9.06E-10  1.44E-08  7.10E+00  5.38E+05
   200  1.846457209E-01  2.197079525E-08  2.53E-15  7.19E-10  1.58E-08  7.28E+00  1.60E+03
   210  1.006383694E-01  6.048316430E-10  2.19E-16  1.98E-11  4.87E-08  7.44E+00  1.60E+03
   220  1.002924249E-01  5.866368125E-10  1.48E-16  1.92E-11  3.33E-08  7.61E+00  1.60E+03
   230  1.000019665E-01  5.816790414E-10  1.22E-17  1.90E-11  2.67E-09  7.83E+00  3.45E+03
   240  1.000019381E-01  5.816790349E-10  1.21E-17  1.90E-11  2.60E-09  7.99E+00  3.45E+03
   250  1.000000376E-01  5.816788154E-10  1.64E-18  1.90E-11  3.46E-10  8.16E+00  3.45E+03
   260  1.000000018E-01  5.816788154E-10  7.26E-21  1.90E-11  1.50E-12  8.32E+00  2.14E+04
   270  1.000000018E-01  5.816788154E-10  7.26E-21  1.90E-11  1.47E-12  8.47E+00  3.45E+03
   280  1.000000018E-01  5.816788154E-10  6.30E-21  1.90E-11  1.26E-12  8.62E+00  3.45E+03
   290  1.000000018E-01  5.816788154E-10  5.86E-21  1.90E-11  1.15E-12  8.77E+00  5.59E+03
   300  1.000000018E-01  5.816788154E-10  5.80E-21  1.90E-11  1.12E-12  8.91E+00  3.45E+03
   310  1.000000018E-01  5.816788154E-10  7.91E-24  1.90E-11  1.50E-15  9.09E+00  3.45E+03

   Itn       x(1)           norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
   313  1.000000018E-01  5.816788154E-10  1.38E-24  1.90E-11  2.61E-16  9.12E+00  3.45E+03

 Exit  LSMR.       istop  = 3               itn    =     313
 Exit  LSMR.       normA  = 9.12116E+00     condA  = 3.44719E+03
 Exit  LSMR.       normb  = 3.05493E+01     normx  = 5.81679E+01
 Exit  LSMR.       normr  = 5.81679E-10     normAr = 1.38499E-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)         = 5.817E+01
    norm(r)         = 2.23012590E-14 = rho1
    norm(A'r)       = 1.784E-14      = sigma1

    norm(s)         = 2.230E-03
    norm(x,s)       = 5.817E+01
    norm(rbar)      = 5.81678816E-10 = rho2
    norm(Abar'rbar) = 1.784E-14      = sigma2

    inform          = 1
    tol             = 1.490E-08
    test1           = 3.975E-17 (Ax = b)
    test2           = 8.768E-02 (least-squares)
    test3           = 3.362E-06 (damped least-squares)

 Solution  x:
     1  0.100000         2  0.200000         3  0.300000         4  0.400000    
     5  0.500000         6  0.600000         7  0.700000         8  0.800000    

 LSMR  appears to be successful.
 Relative error in  x  =  1.07E-11


 --------------------------------------------------------------------
 Least-Squares Test Problem      P(  100  100    4    6    1.00E-12 )
 Condition no. =  2.4414E+08     Residual function =  6.620106355E-17
 --------------------------------------------------------------------


 Enter Acheck.
 Aprod1, Aprod2 seem OK.  Relative error =   4.0E-16


 Enter LSMR.       Least-squares solution of  Ax = b
 The matrix  A  has    100 rows   and    100 columns
 damp   =  1.00000042968507E-12
 atol   =  3.18E-16               conlim =  2.44E+11
 btol   =  3.18E-16               itnlim =      1000
 localSize (no. of vectors for local reorthogonalization) =      0

   Itn       x(1)           norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
     0  0.000000000E+00  2.891836554E+01  2.38E+01  1.00E+00  2.85E-02
     1 -2.312020044E+00  1.271170811E+01  6.76E+00  4.40E-01  5.83E-01  9.13E-01  1.10E+00
     2 -2.365761190E+00  7.531770263E+00  2.82E+00  2.60E-01  3.18E-01  1.18E+00  1.51E+00
     3 -1.703584811E+00  4.939004539E+00  1.36E+00  1.71E-01  2.05E-01  1.34E+00  1.97E+00
     4 -8.272149711E-01  3.375468247E+00  6.96E-01  1.17E-01  1.44E-01  1.44E+00  2.56E+00
     5  2.768344220E-02  2.340255893E+00  3.64E-01  8.09E-02  1.04E-01  1.50E+00  3.35E+00
     6  7.232923852E-01  1.621660074E+00  1.90E-01  5.61E-02  7.65E-02  1.53E+00  4.42E+00
     7  1.173382117E+00  1.112815545E+00  9.70E-02  3.85E-02  5.62E-02  1.55E+00  5.92E+00
     8  1.334829249E+00  7.516861558E-01  4.80E-02  2.60E-02  4.09E-02  1.56E+00  8.08E+00
     9  1.209684053E+00  4.977739661E-01  2.28E-02  1.72E-02  2.93E-02  1.57E+00  1.13E+01
    10  8.450590528E-01  3.222035633E-01  1.04E-02  1.11E-02  2.05E-02  1.57E+00  1.60E+01
    20 -1.127753864E+00  4.214422378E-02  2.42E-04  1.46E-03  2.62E-03  2.19E+00  7.82E+01
    30 -1.050627127E+00  5.826930239E-03  1.02E-05  2.01E-04  6.13E-04  2.85E+00  9.03E+01
    40 -6.527573145E-01  2.237686480E-03  9.97E-07  7.74E-05  1.39E-04  3.21E+00  1.91E+03
    50 -2.695371509E-01  7.941778452E-04  1.45E-07  2.75E-05  5.12E-05  3.56E+00  2.05E+03
    60  4.821708019E-02  2.267300242E-04  1.42E-08  7.84E-06  1.62E-05  3.87E+00  4.18E+02
    70  9.460906916E-02  1.745701282E-04  1.23E-08  6.04E-06  1.65E-05  4.29E+00  4.18E+02
    80  2.392827865E-01  4.700118230E-05  7.82E-10  1.63E-06  3.65E-06  4.56E+00  1.63E+03
    90  2.398789291E-01  4.650516719E-05  7.78E-10  1.61E-06  3.45E-06  4.85E+00  7.26E+02
   100  2.949077030E-01  5.834815630E-06  1.78E-11  2.02E-07  6.01E-07  5.07E+00  6.15E+02
   110  2.949084240E-01  5.834765584E-06  1.74E-11  2.02E-07  5.55E-07  5.38E+00  2.62E+05

   Itn       x(1)           norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
   120  2.921227100E-01  5.375366919E-06  1.67E-11  1.86E-07  5.55E-07  5.59E+00  6.15E+02
   130  2.910361153E-01  5.196269659E-06  1.64E-11  1.80E-07  5.44E-07  5.81E+00  1.05E+03
   140  2.595948750E-01  2.762603471E-07  7.39E-14  9.55E-09  4.46E-08  6.01E+00  1.12E+03
   150  2.595947931E-01  2.762598905E-07  7.27E-14  9.55E-09  4.24E-08  6.20E+00  9.60E+02
   160  2.595947784E-01  2.762598102E-07  7.24E-14  9.55E-09  4.06E-08  6.45E+00  8.64E+03
   170  2.595822593E-01  2.761943294E-07  7.24E-14  9.55E-09  3.95E-08  6.63E+00  4.96E+04
   180  2.593269019E-01  2.748586827E-07  7.22E-14  9.50E-09  3.86E-08  6.80E+00  9.60E+02
   190  2.541675444E-01  2.478725124E-07  6.86E-14  8.57E-09  3.96E-08  6.98E+00  1.21E+03
   200  2.067840964E-01  1.109999147E-09  6.50E-16  3.84E-11  8.17E-08  7.17E+00  1.21E+03
   210  2.067817053E-01  1.109818589E-09  4.30E-16  3.84E-11  5.25E-08  7.37E+00  1.21E+03
   220  2.067798489E-01  1.109775858E-09  1.20E-17  3.84E-11  1.44E-09  7.52E+00  2.34E+04
   230  2.067798489E-01  1.109775854E-09  1.20E-17  3.84E-11  1.40E-09  7.68E+00  1.21E+03
   240  2.067798406E-01  1.109775595E-09  4.54E-18  3.84E-11  5.22E-10  7.84E+00  7.22E+03
   250  2.067798406E-01  1.109775595E-09  4.54E-18  3.84E-11  5.09E-10  8.04E+00  5.09E+03
   260  2.067798405E-01  1.109775594E-09  4.54E-18  3.84E-11  4.99E-10  8.19E+00  4.01E+05
   270  2.067798405E-01  1.109775594E-09  4.54E-18  3.84E-11  4.90E-10  8.35E+00  1.28E+07
   280  2.067773972E-01  1.109750269E-09  4.54E-18  3.84E-11  4.81E-10  8.50E+00  6.72E+03
   290  2.067711167E-01  1.109685175E-09  4.54E-18  3.84E-11  4.71E-10  8.68E+00  7.13E+04
   300  2.067711152E-01  1.109685159E-09  4.54E-18  3.84E-11  4.64E-10  8.81E+00  8.79E+06
   310  2.067710035E-01  1.109684001E-09  4.54E-18  3.84E-11  4.57E-10  8.95E+00  1.96E+06

   Itn       x(1)           norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
   320  2.067710021E-01  1.109683987E-09  4.54E-18  3.84E-11  4.51E-10  9.08E+00  1.74E+06
   330  2.066932761E-01  1.108878392E-09  4.54E-18  3.83E-11  4.43E-10  9.25E+00  6.72E+03
   340  1.003538601E-01  5.828371720E-11  2.61E-19  2.02E-12  4.78E-10  9.38E+00  6.72E+03
   350  1.002442223E-01  5.822308941E-11  2.17E-19  2.01E-12  3.92E-10  9.50E+00  6.72E+03
   360  1.000000202E-01  5.816788669E-11  2.13E-21  2.01E-12  3.80E-12  9.63E+00  3.91E+04
   370  1.000000201E-01  5.816788669E-11  2.13E-21  2.01E-12  3.75E-12  9.75E+00  6.72E+03
   380  1.000000039E-01  5.816788669E-11  1.19E-21  2.01E-12  2.06E-12  9.92E+00  6.72E+03
   390  1.000000017E-01  5.816788669E-11  9.94E-22  2.01E-12  1.70E-12  1.00E+01  6.72E+03
   400  1.000000010E-01  5.816788669E-11  9.18E-22  2.01E-12  1.55E-12  1.02E+01  6.72E+03
   410  1.000000010E-01  5.816788669E-11  9.18E-22  2.01E-12  1.53E-12  1.03E+01  6.72E+03
   420  9.999999882E-02  5.816788661E-11  6.51E-22  2.01E-12  1.07E-12  1.04E+01  1.12E+04
   430  9.999999668E-02  5.816788658E-11  1.02E-22  2.01E-12  1.66E-13  1.06E+01  6.72E+03
   440  9.999999663E-02  5.816788658E-11  2.66E-24  2.01E-12  4.29E-15  1.07E+01  6.72E+03
   450  9.999999663E-02  5.816788658E-11  1.06E-24  2.01E-12  1.68E-15  1.08E+01  6.72E+03
   460  9.999999663E-02  5.816788658E-11  6.65E-25  2.01E-12  1.05E-15  1.09E+01  6.72E+03
   465  9.999999663E-02  5.816788658E-11  1.17E-25  2.01E-12  1.83E-16  1.10E+01  6.72E+03

 Exit  LSMR.       istop  = 3               itn    =     465
 Exit  LSMR.       normA  = 1.09525E+01     condA  = 6.71573E+03
 Exit  LSMR.       normb  = 2.89184E+01     normx  = 5.81679E+01
 Exit  LSMR.       normr  = 5.81679E-11     normAr = 1.16747E-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)         = 5.817E+01
    norm(r)         = 3.71736204E-14 = rho1
    norm(A'r)       = 2.976E-14      = sigma1

    norm(s)         = 3.717E-02
    norm(x,s)       = 5.817E+01
    norm(rbar)      = 5.81678985E-11 = rho2
    norm(Abar'rbar) = 2.976E-14      = sigma2

    inform          = 1
    tol             = 1.490E-08
    test1           = 5.582E-17 (Ax = b)
    test2           = 7.310E-02 (least-squares)
    test3           = 4.672E-05 (damped least-squares)

 Solution  x:
     1  0.100000         2  0.200000         3  0.300000         4  0.400000    
     5  0.500000         6  0.600000         7  0.700000         8  0.800000    

 LSMR  appears to be successful.
 Relative error in  x  =  2.99E-10


 --------------------------------------------------------------------
 Least-Squares Test Problem      P(  100  100    4    6    1.00E-12 )
 Condition no. =  2.4414E+08     Residual function =  6.620106355E-17
 --------------------------------------------------------------------


 Enter Acheck.
 Aprod1, Aprod2 seem OK.  Relative error =   4.0E-16


 Enter LSMR.       Least-squares solution of  Ax = b
 The matrix  A  has    100 rows   and    100 columns
 damp   =  1.00000042968507E-12
 atol   =  3.18E-16               conlim =  2.44E+11
 btol   =  3.18E-16               itnlim =      1000
 localSize (no. of vectors for local reorthogonalization) =     10

   Itn       x(1)           norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
     0  0.000000000E+00  2.891836554E+01  2.38E+01  1.00E+00  2.85E-02
     1 -2.312020044E+00  1.271170811E+01  6.76E+00  4.40E-01  5.83E-01  9.13E-01  1.10E+00
     2 -2.365761190E+00  7.531770263E+00  2.82E+00  2.60E-01  3.18E-01  1.18E+00  1.51E+00
     3 -1.703584811E+00  4.939004539E+00  1.36E+00  1.71E-01  2.05E-01  1.34E+00  1.97E+00
     4 -8.272149711E-01  3.375468247E+00  6.96E-01  1.17E-01  1.44E-01  1.44E+00  2.56E+00
     5  2.768344220E-02  2.340255893E+00  3.64E-01  8.09E-02  1.04E-01  1.50E+00  3.35E+00
     6  7.232923852E-01  1.621660074E+00  1.90E-01  5.61E-02  7.65E-02  1.53E+00  4.42E+00
     7  1.173382117E+00  1.112815545E+00  9.70E-02  3.85E-02  5.62E-02  1.55E+00  5.92E+00
     8  1.334829248E+00  7.516861558E-01  4.80E-02  2.60E-02  4.09E-02  1.56E+00  8.08E+00
     9  1.209684071E+00  4.977739661E-01  2.28E-02  1.72E-02  2.93E-02  1.57E+00  1.13E+01
    10  8.450532922E-01  3.222031309E-01  1.04E-02  1.11E-02  2.05E-02  1.57E+00  1.60E+01
    20 -1.127954647E+00  4.211174977E-02  2.42E-04  1.46E-03  2.62E-03  2.19E+00  1.40E+02
    30 -1.148308720E+00  8.256214567E-03  1.69E-05  2.86E-04  7.21E-04  2.84E+00  1.01E+02
    40 -6.527590655E-01  2.237695596E-03  9.97E-07  7.74E-05  1.39E-04  3.21E+00  1.81E+03
    50 -2.695428991E-01  7.941915158E-04  1.45E-07  2.75E-05  5.12E-05  3.56E+00  2.86E+03
    60  4.822947933E-02  2.267289579E-04  1.42E-08  7.84E-06  1.61E-05  3.87E+00  7.47E+02
    70  2.189205820E-01  5.288158987E-05  4.69E-09  1.83E-06  2.12E-05  4.17E+00  7.47E+02
    80  2.392827869E-01  4.700117670E-05  7.82E-10  1.63E-06  3.74E-06  4.45E+00  1.14E+03
    90  2.401981543E-01  4.624068602E-05  7.76E-10  1.60E-06  3.52E-06  4.77E+00  7.47E+02
   100  2.948906385E-01  5.834909744E-06  2.26E-11  2.02E-07  7.60E-07  5.09E+00  7.47E+02
   110  2.949084246E-01  5.834764616E-06  1.74E-11  2.02E-07  5.61E-07  5.32E+00  3.56E+04

   Itn       x(1)           norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
   120  2.948560156E-01  5.826161768E-06  1.74E-11  2.01E-07  5.39E-07  5.54E+00  3.61E+04
   130  2.948511755E-01  5.825364527E-06  1.74E-11  2.01E-07  5.19E-07  5.75E+00  2.15E+04
   140  2.595950071E-01  2.762604079E-07  8.40E-14  9.55E-09  5.04E-08  6.04E+00  1.41E+03
   150  2.595949292E-01  2.762603963E-07  8.00E-14  9.55E-09  4.65E-08  6.23E+00  1.10E+04
   160  2.595947641E-01  2.762598107E-07  7.24E-14  9.55E-09  4.09E-08  6.42E+00  1.41E+03
   170  2.595947608E-01  2.762597938E-07  7.24E-14  9.55E-09  3.94E-08  6.65E+00  1.76E+04
   180  2.595947324E-01  2.762596456E-07  7.24E-14  9.55E-09  3.82E-08  6.86E+00  2.50E+03
   190  2.595934442E-01  2.762529413E-07  7.24E-14  9.55E-09  3.73E-08  7.03E+00  1.12E+06
   200  2.595912342E-01  2.762413641E-07  7.24E-14  9.55E-09  3.64E-08  7.20E+00  5.21E+03
   210  2.595096099E-01  2.758137862E-07  7.24E-14  9.54E-09  3.54E-08  7.41E+00  1.41E+03
   220  2.593469399E-01  2.749617815E-07  7.22E-14  9.51E-09  3.46E-08  7.59E+00  1.17E+05
   230  2.593438265E-01  2.749454969E-07  7.22E-14  9.51E-09  3.39E-08  7.74E+00  3.53E+03
   240  2.559093899E-01  2.569814280E-07  6.98E-14  8.89E-09  3.44E-08  7.91E+00  1.41E+03
   250  2.067799814E-01  1.110281690E-09  1.84E-16  3.84E-11  2.04E-08  8.12E+00  1.41E+03
   260  2.067799627E-01  1.110281474E-09  1.79E-16  3.84E-11  1.95E-08  8.27E+00  1.41E+03
   270  2.067797398E-01  1.110279829E-09  1.00E-16  3.84E-11  1.07E-08  8.41E+00  1.41E+03
   280  2.067797398E-01  1.110279820E-09  1.00E-16  3.84E-11  1.05E-08  8.55E+00  8.87E+03
   290  2.067797383E-01  1.110265033E-09  9.93E-17  3.84E-11  1.02E-08  8.74E+00  1.41E+03
   300  2.067797374E-01  1.110256455E-09  9.88E-17  3.84E-11  1.00E-08  8.88E+00  1.41E+03
   310  2.067796442E-01  1.109775275E-09  2.46E-17  3.84E-11  2.45E-09  9.03E+00  1.41E+03

   Itn       x(1)           norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
   320  2.067796403E-01  1.109773728E-09  1.63E-17  3.84E-11  1.60E-09  9.17E+00  1.41E+03
   330  2.067796375E-01  1.109773356E-09  4.56E-18  3.84E-11  4.40E-10  9.34E+00  6.14E+03
   340  2.067796375E-01  1.109773356E-09  4.56E-18  3.84E-11  4.33E-10  9.49E+00  6.44E+04
   350  2.067796365E-01  1.109773346E-09  4.56E-18  3.84E-11  4.27E-10  9.62E+00  2.08E+03
   360  2.067796311E-01  1.109773290E-09  4.54E-18  3.84E-11  4.20E-10  9.74E+00  1.21E+06
   370  2.067796311E-01  1.109773290E-09  4.54E-18  3.84E-11  4.13E-10  9.91E+00  3.29E+05
   380  2.067796311E-01  1.109773290E-09  4.54E-18  3.84E-11  4.08E-10  1.00E+01  1.35E+05
   390  2.067796311E-01  1.109773290E-09  4.54E-18  3.84E-11  4.02E-10  1.02E+01  1.25E+07
   400  2.067796311E-01  1.109773289E-09  4.54E-18  3.84E-11  3.98E-10  1.03E+01  5.73E+06
   410  2.067796308E-01  1.109773287E-09  4.54E-18  3.84E-11  3.92E-10  1.04E+01  3.69E+06
   420  1.986762385E-01  1.025792972E-09  4.36E-18  3.55E-11  4.03E-10  1.06E+01  5.18E+03
   430  1.950500993E-01  9.882230253E-10  4.28E-18  3.42E-11  4.05E-10  1.07E+01  1.41E+03
   440  1.897240299E-01  9.330535412E-10  4.16E-18  3.23E-11  4.13E-10  1.08E+01  1.58E+04
   450  1.895353725E-01  9.310996730E-10  4.16E-18  3.22E-11  4.08E-10  1.09E+01  1.41E+03
   460  1.895027094E-01  9.307613929E-10  4.16E-18  3.22E-11  4.03E-10  1.11E+01  3.54E+05
   470  1.895005503E-01  9.307390321E-10  4.16E-18  3.22E-11  3.99E-10  1.12E+01  4.71E+04
   480  1.894749545E-01  9.304739384E-10  4.15E-18  3.22E-11  3.95E-10  1.13E+01  1.26E+04
   490  1.894410876E-01  9.301231843E-10  4.15E-18  3.22E-11  3.91E-10  1.14E+01  5.56E+03
   500  1.890650383E-01  9.262285404E-10  4.15E-18  3.20E-11  3.88E-10  1.15E+01  3.07E+04
   510  1.889768062E-01  9.253147534E-10  4.14E-18  3.20E-11  3.85E-10  1.16E+01  1.41E+03

   Itn       x(1)           norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
   520  1.885122265E-01  9.205033571E-10  4.13E-18  3.18E-11  3.82E-10  1.18E+01  1.41E+03
   530  1.884942652E-01  9.203173444E-10  4.13E-18  3.18E-11  3.78E-10  1.19E+01  4.97E+06
   540  1.884696572E-01  9.200624501E-10  4.13E-18  3.18E-11  3.74E-10  1.20E+01  2.30E+04
   550  1.861863930E-01  8.964132347E-10  4.08E-18  3.10E-11  3.75E-10  1.21E+01  4.17E+03
   560  1.666500600E-01  6.941987328E-10  3.59E-18  2.40E-11  4.23E-10  1.22E+01  1.41E+03
   570  1.020295955E-01  6.186472182E-11  6.26E-19  2.14E-12  8.20E-10  1.23E+01  2.54E+03
   580  1.001112506E-01  5.817934762E-11  1.47E-19  2.01E-12  2.02E-10  1.24E+01  1.41E+03
   590  1.000362373E-01  5.816910308E-11  8.36E-20  2.01E-12  1.15E-10  1.25E+01  1.41E+03
   600  1.000000307E-01  5.816788658E-11  2.76E-21  2.01E-12  3.75E-12  1.27E+01  1.41E+03
   610  9.999999138E-02  5.816788658E-11  2.08E-22  2.01E-12  2.79E-13  1.28E+01  1.41E+03
   620  9.999999127E-02  5.816788658E-11  1.52E-22  2.01E-12  2.03E-13  1.29E+01  1.41E+03
   630  9.999999116E-02  5.816788658E-11  4.15E-23  2.01E-12  5.49E-14  1.30E+01  1.41E+03
   640  9.999999116E-02  5.816788658E-11  3.30E-23  2.01E-12  4.34E-14  1.31E+01  1.41E+03
   650  9.999999115E-02  5.816788658E-11  1.24E-23  2.01E-12  1.62E-14  1.32E+01  3.90E+04
   660  9.999999115E-02  5.816788658E-11  1.24E-23  2.01E-12  1.61E-14  1.33E+01  6.67E+04
   670  9.999999115E-02  5.816788658E-11  1.24E-23  2.01E-12  1.60E-14  1.34E+01  1.71E+04
   680  9.999999115E-02  5.816788658E-11  8.48E-24  2.01E-12  1.08E-14  1.35E+01  1.41E+03
   690  9.999999115E-02  5.816788658E-11  4.76E-24  2.01E-12  6.02E-15  1.36E+01  1.41E+03
   700  9.999999115E-02  5.816788658E-11  6.30E-25  2.01E-12  7.92E-16  1.37E+01  1.41E+03
   710  9.999999115E-02  5.816788658E-11  3.39E-25  2.01E-12  4.22E-16  1.38E+01  1.41E+03

   Itn       x(1)           norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
   720  9.999999115E-02  5.816788658E-11  3.38E-25  2.01E-12  4.19E-16  1.39E+01  4.84E+04
   730  9.999999115E-02  5.816788658E-11  3.38E-25  2.01E-12  4.16E-16  1.40E+01  1.28E+05
   740  9.999999115E-02  5.816788658E-11  3.38E-25  2.01E-12  4.13E-16  1.41E+01  1.39E+05
   750  9.999999115E-02  5.816788658E-11  3.38E-25  2.01E-12  4.11E-16  1.42E+01  3.75E+06
   760  9.999999115E-02  5.816788658E-11  3.38E-25  2.01E-12  4.07E-16  1.43E+01  1.41E+03
   764  9.999999115E-02  5.816788658E-11  2.84E-25  2.01E-12  3.41E-16  1.43E+01  1.41E+03
   765  9.999999115E-02  5.816788658E-11  2.68E-25  2.01E-12  3.22E-16  1.43E+01  1.41E+03
   766  9.999999115E-02  5.816788658E-11  2.50E-25  2.01E-12  3.00E-16  1.43E+01  1.41E+03

 Exit  LSMR.       istop  = 3               itn    =     766
 Exit  LSMR.       normA  = 1.43074E+01     condA  = 1.40633E+03
 Exit  LSMR.       normb  = 2.89184E+01     normx  = 5.81679E+01
 Exit  LSMR.       normr  = 5.81679E-11     normAr = 2.49819E-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)         = 5.817E+01
    norm(r)         = 3.86019322E-14 = rho1
    norm(A'r)       = 2.591E-14      = sigma1

    norm(s)         = 3.860E-02
    norm(x,s)       = 5.817E+01
    norm(rbar)      = 5.81678994E-11 = rho2
    norm(Abar'rbar) = 2.591E-14      = sigma2

    inform          = 1
    tol             = 1.490E-08
    test1           = 4.483E-17 (Ax = b)
    test2           = 4.691E-02 (least-squares)
    test3           = 3.113E-05 (damped least-squares)

 Solution  x:
     1  0.100000         2  0.200000         3  0.300000         4  0.400000    
     5  0.500000         6  0.600000         7  0.700000         8  0.800000    

 LSMR  appears to be successful.
 Relative error in  x  =  8.66E-10


 --------------------------------------------------------------------
 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 =   4.0E-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       x(1)            norm r         A'r    Compatible    LS      norm A    cond A
     0  0.000000000E+00  3.927247552E+01  3.24E+01  1.00E+00  2.10E-02
     1 -2.258751957E+00  1.461193857E+01  8.61E+00  3.72E-01  6.64E-01  8.87E-01  1.13E+00
     2 -2.097971594E+00  7.956747821E+00  3.59E+00  2.03E-01  3.83E-01  1.18E+00  1.41E+00
     3 -1.581273242E+00  5.065184546E+00  1.84E+00  1.29E-01  2.61E-01  1.39E+00  1.67E+00
     4 -1.101889286E+00  3.510599813E+00  1.06E+00  8.94E-02  1.93E-01  1.56E+00  1.90E+00
     5 -7.231251920E-01  2.565670943E+00  6.58E-01  6.53E-02  1.51E-01  1.70E+00  2.13E+00
     6 -4.369116705E-01  1.943009012E+00  4.31E-01  4.95E-02  1.22E-01  1.82E+00  2.37E+00
     7 -2.235213251E-01  1.508373741E+00  2.93E-01  3.84E-02  1.01E-01  1.93E+00  2.62E+00
     8 -6.510469630E-02  1.191533051E+00  2.04E-01  3.03E-02  8.50E-02  2.02E+00  2.89E+00
     9  5.210563015E-02  9.525863278E-01  1.45E-01  2.43E-02  7.27E-02  2.09E+00  3.18E+00
    10  1.382311379E-01  7.673963524E-01  1.04E-01  1.95E-02  6.29E-02  2.15E+00  3.52E+00
    20  2.529090430E-01  7.803316978E-02  3.05E-03  1.99E-03  1.53E-02  2.55E+00  1.36E+01
    30  1.406518437E-01  7.452973843E-03  1.28E-04  1.90E-04  5.45E-03  3.15E+00  4.49E+01
    40  9.545192383E-02  3.696317256E-04  5.91E-07  9.41E-06  4.38E-04  3.66E+00  7.36E+01
    50  2.111136069E-04  6.002910739E-08  6.00E-09  1.53E-09  2.46E-02  4.07E+00  3.31E+01
    60  2.012837680E-04  4.465354133E-13  1.13E-13  1.14E-14  5.60E-02  4.50E+00  3.31E+01
    65  2.012837679E-04  8.396033463E-14  5.38E-15  2.14E-15  1.37E-02  4.67E+00  3.31E+01

 Exit  LSMR.       istop  = 1               itn    =      65
 Exit  LSMR.       normA  = 4.67134E+00     condA  = 3.31409E+01
 Exit  LSMR.       normb  = 3.92725E+01     normx  = 5.81679E+01
 Exit  LSMR.       normr  = 8.39603E-14     normAr = 5.37645E-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)         = 5.817E+01
    norm(r)         = 8.87734783E-14 = rho1
    norm(A'r)       = 1.488E-14      = sigma1

    inform          = 1
    tol             = 1.490E-08
    test1           = 2.855E-16 (Ax = b)
    test2           = 3.588E-02 (least-squares)
    test3           = 3.588E-02 (damped least-squares)

 Solution  x:
     1  0.201284E-03     2  0.100792         3  0.201775         4  0.303146    
     5  0.404898         6  0.507026         7  0.609521         8  0.712373    

 LSMR  appears to be successful.
 Relative error in  x  =  5.04E-14


 --------------------------------------------------------------------
 Least-Squares Test Problem      P(  100  200    4    3    1.00E-09 )
 Condition no. =  1.5625E+04     Residual function =  6.484044576E-15
 --------------------------------------------------------------------


 Enter Acheck.
 Aprod1, Aprod2 seem OK.  Relative error =   6.8E-17


 Enter LSMR.       Least-squares solution of  Ax = b
 The matrix  A  has    100 rows   and    200 columns
 damp   =  1.00000030478498E-09
 atol   =  3.18E-16               conlim =  1.56E+07
 btol   =  3.18E-16               itnlim =      1400
 localSize (no. of vectors for local reorthogonalization) =      0

   Itn       x(1)           norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
     0  0.000000000E+00  3.521880978E+01  2.87E+01  1.00E+00  2.32E-02
     1 -2.192866048E+00  1.428029891E+01  8.05E+00  4.05E-01  6.33E-01  8.90E-01  1.12E+00
     2 -2.506823060E+00  8.244208723E+00  3.47E+00  2.34E-01  3.58E-01  1.18E+00  1.44E+00
     3 -2.344858775E+00  5.472015708E+00  1.81E+00  1.55E-01  2.40E-01  1.38E+00  1.74E+00
     4 -2.048800875E+00  3.905168344E+00  1.05E+00  1.11E-01  1.75E-01  1.53E+00  2.03E+00
     5 -1.727012396E+00  2.908003484E+00  6.48E-01  8.26E-02  1.34E-01  1.66E+00  2.35E+00
     6 -1.416676758E+00  2.222592906E+00  4.17E-01  6.31E-02  1.07E-01  1.76E+00  2.71E+00
     7 -1.130184694E+00  1.725491795E+00  2.75E-01  4.90E-02  8.70E-02  1.83E+00  3.12E+00
     8 -8.708243125E-01  1.350685910E+00  1.84E-01  3.84E-02  7.20E-02  1.89E+00  3.60E+00
     9 -6.386378358E-01  1.059953043E+00  1.23E-01  3.01E-02  6.01E-02  1.93E+00  4.19E+00
    10 -4.327354557E-01  8.298088749E-01  8.20E-02  2.36E-02  5.04E-02  1.96E+00  4.91E+00
    20  3.102428442E-01  9.180529714E-02  2.09E-03  2.61E-03  9.34E-03  2.44E+00  1.98E+01
    30  2.726863317E-01  1.705104957E-02  1.19E-04  4.84E-04  2.34E-03  2.99E+00  5.39E+01
    40  1.791845085E-01  2.417216888E-03  4.12E-06  6.86E-05  4.85E-04  3.51E+00  8.03E+01
    50  1.338761409E-01  4.400360113E-04  2.25E-07  1.25E-05  1.31E-04  3.91E+00  2.84E+02
    60  1.053206964E-01  4.775911018E-05  7.21E-08  1.36E-06  3.61E-04  4.18E+00  2.84E+02
    70  1.020610591E-01  1.581116090E-05  1.01E-09  4.49E-07  1.41E-05  4.55E+00  9.63E+02
    80  9.998415819E-02  1.548878265E-05  1.00E-09  4.40E-07  1.32E-05  4.89E+00  5.02E+02
    90  2.026485841E-04  5.816970516E-08  3.70E-12  1.65E-09  1.23E-05  5.17E+00  2.84E+02
   100  2.012838295E-04  5.816787878E-08  1.72E-14  1.65E-09  5.45E-08  5.43E+00  2.84E+02
   110  2.012837874E-04  5.816787863E-08  2.69E-17  1.65E-09  8.07E-11  5.73E+00  2.84E+02

   Itn       x(1)           norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
   120  2.012837873E-04  5.816787863E-08  1.75E-17  1.65E-09  5.03E-11  6.00E+00  2.84E+02
   130  2.012837873E-04  5.816787863E-08  9.60E-21  1.65E-09  2.65E-14  6.24E+00  2.84E+02
   140  2.012837873E-04  5.816787863E-08  7.25E-23  1.65E-09  1.93E-16  6.47E+00  2.84E+02

 Exit  LSMR.       istop  = 3               itn    =     140
 Exit  LSMR.       normA  = 6.46928E+00     condA  = 2.84033E+02
 Exit  LSMR.       normb  = 3.52188E+01     normx  = 5.81679E+01
 Exit  LSMR.       normr  = 5.81679E-08     normAr = 7.24511E-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)         = 5.817E+01
    norm(r)         = 3.02062549E-14 = rho1
    norm(A'r)       = 2.386E-14      = sigma1

    norm(s)         = 3.021E-05
    norm(x,s)       = 5.817E+01
    norm(rbar)      = 5.81678786E-08 = rho2
    norm(Abar'rbar) = 2.388E-14      = sigma2

    inform          = 1
    tol             = 1.490E-08
    test1           = 7.340E-17 (Ax = b)
    test2           = 1.221E-01 (least-squares)
    test3           = 6.345E-08 (damped least-squares)

 Solution  x:
     1  0.201284E-03     2  0.100792         3  0.201775         4  0.303146    
     5  0.404898         6  0.507026         7  0.609521         8  0.712373    

 LSMR  appears to be successful.
 Relative error in  x  =  6.82E-13


 --------------------------------------------------------------------
 Least-Squares Test Problem      P(  100  200    4    4    1.00E-10 )
 Condition no. =  3.9062E+05     Residual function =  1.505834411E-15
 --------------------------------------------------------------------


 Enter Acheck.
 Aprod1, Aprod2 seem OK.  Relative error =   6.9E-16


 Enter LSMR.       Least-squares solution of  Ax = b
 The matrix  A  has    100 rows   and    200 columns
 damp   =  1.00000036029613E-10
 atol   =  3.18E-16               conlim =  3.91E+08
 btol   =  3.18E-16               itnlim =      1400
 localSize (no. of vectors for local reorthogonalization) =      0

   Itn       x(1)           norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
     0  0.000000000E+00  3.241308615E+01  2.64E+01  1.00E+00  2.52E-02
     1 -2.023690604E+00  1.369238479E+01  7.53E+00  4.22E-01  6.13E-01  8.97E-01  1.11E+00
     2 -2.555114767E+00  8.076575719E+00  3.25E+00  2.49E-01  3.41E-01  1.18E+00  1.46E+00
     3 -2.627306387E+00  5.410715108E+00  1.67E+00  1.67E-01  2.26E-01  1.37E+00  1.80E+00
     4 -2.510470223E+00  3.860108284E+00  9.46E-01  1.19E-01  1.63E-01  1.51E+00  2.18E+00
     5 -2.304983541E+00  2.848809883E+00  5.64E-01  8.79E-02  1.23E-01  1.61E+00  2.61E+00
     6 -2.055062217E+00  2.140112220E+00  3.45E-01  6.60E-02  9.60E-02  1.68E+00  3.14E+00
     7 -1.782897588E+00  1.619568057E+00  2.13E-01  5.00E-02  7.62E-02  1.73E+00  3.80E+00
     8 -1.501329974E+00  1.225410220E+00  1.32E-01  3.78E-02  6.10E-02  1.76E+00  4.63E+00
     9 -1.219187139E+00  9.214611493E-01  8.05E-02  2.84E-02  4.89E-02  1.79E+00  5.71E+00
    10 -9.436821953E-01  6.850521625E-01  4.81E-02  2.11E-02  3.90E-02  1.80E+00  7.14E+00
    20  2.227495225E-01  6.757033317E-02  8.48E-04  2.08E-03  5.17E-03  2.43E+00  2.37E+01
    30  3.222624948E-01  1.059353060E-02  4.58E-05  3.27E-04  1.47E-03  2.94E+00  1.13E+02
    40  2.912651814E-01  4.228716436E-03  6.31E-06  1.30E-04  4.44E-04  3.36E+00  1.91E+02
    50  2.424209076E-01  1.418889269E-03  9.02E-07  4.38E-05  1.69E-04  3.75E+00  6.60E+02
    60  1.865614632E-01  3.308059686E-04  6.81E-08  1.02E-05  5.07E-05  4.06E+00  1.13E+03
    70  1.362329287E-01  3.772490259E-05  1.66E-09  1.16E-06  1.00E-05  4.38E+00  1.58E+02
    80  1.362284835E-01  3.772413490E-05  1.54E-09  1.16E-06  8.72E-06  4.69E+00  4.28E+03
    90  1.036614667E-01  6.920635880E-07  1.28E-10  2.14E-08  3.73E-05  4.97E+00  1.76E+02
   100  1.034346382E-01  6.409969296E-07  1.80E-12  1.98E-08  5.33E-07  5.27E+00  1.76E+02
   110  1.034346248E-01  6.409968897E-07  1.64E-12  1.98E-08  4.64E-07  5.52E+00  3.36E+05

   Itn       x(1)           norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
   120  1.034333445E-01  6.409889408E-07  1.64E-12  1.98E-08  4.43E-07  5.78E+00  3.95E+04
   130  9.776658553E-02  6.058058802E-07  1.60E-12  1.87E-08  4.37E-07  6.03E+00  1.81E+02
   140  2.261832900E-02  1.393118227E-07  7.65E-13  4.30E-09  8.78E-07  6.25E+00  1.07E+03
   150  2.013706545E-04  5.816788259E-09  1.50E-15  1.79E-10  4.00E-08  6.46E+00  1.81E+02
   160  2.012848356E-04  5.816788230E-09  1.48E-16  1.79E-10  3.81E-09  6.68E+00  2.34E+02
   170  2.012839304E-04  5.816788186E-09  2.97E-17  1.79E-10  7.44E-10  6.86E+00  1.81E+02
   180  2.012838925E-04  5.816788186E-09  3.87E-20  1.79E-10  9.41E-13  7.08E+00  2.09E+02
   190  2.012838925E-04  5.816788186E-09  2.51E-20  1.79E-10  5.94E-13  7.26E+00  1.84E+03
   200  2.012838922E-04  5.816788186E-09  1.95E-21  1.79E-10  4.51E-14  7.44E+00  1.53E+03
   210  2.012838922E-04  5.816788186E-09  2.31E-22  1.79E-10  5.21E-15  7.63E+00  1.53E+03
   220  2.012838922E-04  5.816788186E-09  3.16E-23  1.79E-10  6.95E-16  7.82E+00  1.53E+03
   224  2.012838922E-04  5.816788186E-09  3.72E-24  1.79E-10  8.10E-17  7.91E+00  1.53E+03

 Exit  LSMR.       istop  = 3               itn    =     224
 Exit  LSMR.       normA  = 7.90551E+00     condA  = 1.53458E+03
 Exit  LSMR.       normb  = 3.24131E+01     normx  = 5.81679E+01
 Exit  LSMR.       normr  = 5.81679E-09     normAr = 3.72279E-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)         = 5.817E+01
    norm(r)         = 2.77117947E-14 = rho1
    norm(A'r)       = 2.249E-14      = sigma1

    norm(s)         = 2.771E-04
    norm(x,s)       = 5.817E+01
    norm(rbar)      = 5.81678819E-09 = rho2
    norm(Abar'rbar) = 2.249E-14      = sigma2

    inform          = 1
    tol             = 1.490E-08
    test1           = 5.630E-17 (Ax = b)
    test2           = 1.027E-01 (least-squares)
    test3           = 4.891E-07 (damped least-squares)

 Solution  x:
     1  0.201284E-03     2  0.100792         3  0.201775         4  0.303146    
     5  0.404898         6  0.507026         7  0.609521         8  0.712373    

 LSMR  appears to be successful.
 Relative error in  x  =  2.79E-12


 --------------------------------------------------------------------
 Least-Squares Test Problem      P(  100  200    4    5    1.00E-11 )
 Condition no. =  9.7656E+06     Residual function =  3.707252877E-16
 --------------------------------------------------------------------


 Enter Acheck.
 Aprod1, Aprod2 seem OK.  Relative error =   0.0E+00


 Enter LSMR.       Least-squares solution of  Ax = b
 The matrix  A  has    100 rows   and    200 columns
 damp   =  1.00000034294889E-11
 atol   =  3.18E-16               conlim =  9.77E+09
 btol   =  3.18E-16               itnlim =      1400
 localSize (no. of vectors for local reorthogonalization) =      0

   Itn       x(1)           norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
     0  0.000000000E+00  3.034349165E+01  2.49E+01  1.00E+00  2.70E-02
     1 -1.849498624E+00  1.308869881E+01  7.09E+00  4.31E-01  5.98E-01  9.06E-01  1.10E+00
     2 -2.477605375E+00  7.759135299E+00  3.01E+00  2.56E-01  3.29E-01  1.18E+00  1.48E+00
     3 -2.690505681E+00  5.168276314E+00  1.51E+00  1.70E-01  2.15E-01  1.35E+00  1.88E+00
     4 -2.702461567E+00  3.633451513E+00  8.16E-01  1.20E-01  1.52E-01  1.47E+00  2.35E+00
     5 -2.597263048E+00  2.620857209E+00  4.59E-01  8.64E-02  1.13E-01  1.55E+00  2.94E+00
     6 -2.414979183E+00  1.909170798E+00  2.62E-01  6.29E-02  8.56E-02  1.60E+00  3.71E+00
     7 -2.178483928E+00  1.390218450E+00  1.49E-01  4.58E-02  6.56E-02  1.63E+00  4.72E+00
     8 -1.903666659E+00  1.004498360E+00  8.35E-02  3.31E-02  5.03E-02  1.65E+00  6.09E+00
     9 -1.603841335E+00  7.159566699E-01  4.56E-02  2.36E-02  3.83E-02  1.66E+00  7.98E+00
    10 -1.291643230E+00  5.007957380E-01  2.41E-02  1.65E-02  2.88E-02  1.67E+00  1.06E+01
    20  3.160520827E-02  5.234486916E-02  4.17E-04  1.73E-03  3.50E-03  2.28E+00  3.33E+01
    30  2.829855515E-01  1.330956768E-02  3.96E-05  4.39E-04  1.07E-03  2.77E+00  6.20E+01
    40  3.296213351E-01  2.780268036E-03  2.06E-06  9.16E-05  2.30E-04  3.22E+00  1.94E+02
    50  3.003231292E-01  9.478665084E-04  2.92E-07  3.12E-05  8.34E-05  3.69E+00  1.30E+03
    60  2.490895767E-01  2.480134272E-04  2.56E-08  8.17E-06  2.57E-05  4.02E+00  4.64E+02
    70  2.462985441E-01  2.366862833E-04  2.50E-08  7.80E-06  2.43E-05  4.34E+00  4.64E+02
    80  1.899023152E-01  4.209672954E-05  1.04E-09  1.39E-06  5.38E-06  4.61E+00  1.05E+03
    90  1.566490958E-01  1.585165163E-05  6.36E-10  5.22E-07  8.19E-06  4.90E+00  4.64E+02
   100  1.370998059E-01  3.097154531E-06  1.07E-11  1.02E-07  6.71E-07  5.15E+00  4.64E+02
   110  1.370991318E-01  3.097142639E-06  1.01E-11  1.02E-07  6.07E-07  5.40E+00  4.14E+03

   Itn       x(1)           norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
   120  1.370322717E-01  3.090932661E-06  1.01E-11  1.02E-07  5.81E-07  5.65E+00  4.64E+02
   130  1.369331683E-01  3.081728279E-06  1.01E-11  1.02E-07  5.62E-07  5.84E+00  4.64E+02
   140  1.037544221E-01  2.572480383E-08  2.66E-14  8.48E-10  1.69E-07  6.11E+00  4.64E+02
   150  1.037542432E-01  2.572479273E-08  1.26E-14  8.48E-10  7.78E-08  6.28E+00  4.64E+02
   160  1.037541856E-01  2.572476232E-08  2.63E-15  8.48E-10  1.58E-08  6.49E+00  5.58E+03
   170  1.037541856E-01  2.572476232E-08  2.63E-15  8.48E-10  1.53E-08  6.68E+00  3.73E+06
   180  1.037541614E-01  2.572475630E-08  2.63E-15  8.48E-10  1.49E-08  6.87E+00  1.20E+05
   190  1.037540165E-01  2.572472033E-08  2.63E-15  8.48E-10  1.45E-08  7.05E+00  2.51E+06
   200  1.015072474E-01  2.516686321E-08  2.60E-15  8.29E-10  1.43E-08  7.25E+00  2.47E+04
   210  9.359896328E-02  2.320334711E-08  2.50E-15  7.65E-10  1.45E-08  7.42E+00  2.47E+04
   220  2.697264349E-04  5.819314710E-10  6.77E-17  1.92E-11  1.53E-08  7.63E+00  2.47E+04
   230  2.436763899E-04  5.817776228E-10  5.33E-17  1.92E-11  1.17E-08  7.81E+00  2.47E+04
   240  2.012897973E-04  5.816788085E-10  6.12E-19  1.92E-11  1.32E-10  7.96E+00  2.47E+04
   250  2.012873402E-04  5.816788085E-10  4.58E-19  1.92E-11  9.70E-11  8.12E+00  2.47E+04
   260  2.012842189E-04  5.816788085E-10  2.79E-20  1.92E-11  5.79E-12  8.29E+00  2.47E+04
   270  2.012842092E-04  5.816788085E-10  1.13E-20  1.92E-11  2.30E-12  8.45E+00  3.09E+04
   280  2.012842093E-04  5.816788085E-10  1.13E-20  1.92E-11  2.26E-12  8.59E+00  2.47E+04
   290  2.012842186E-04  5.816788085E-10  9.74E-21  1.92E-11  1.91E-12  8.77E+00  2.47E+04
   300  2.012842454E-04  5.816788085E-10  5.00E-22  1.92E-11  9.62E-14  8.94E+00  2.47E+04
   310  2.012842454E-04  5.816788085E-10  4.98E-22  1.92E-11  9.43E-14  9.09E+00  2.47E+04

   Itn       x(1)           norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
   319  2.012842455E-04  5.816788085E-10  2.36E-25  1.92E-11  4.41E-17  9.21E+00  2.47E+04

 Exit  LSMR.       istop  = 3               itn    =     319
 Exit  LSMR.       normA  = 9.20784E+00     condA  = 2.46983E+04
 Exit  LSMR.       normb  = 3.03435E+01     normx  = 5.81679E+01
 Exit  LSMR.       normr  = 5.81679E-10     normAr = 2.36443E-25
 Exit  LSMR.       The estimate of cond(Abar) has exceeded conlim       


 Enter xcheck.     Does x solve Ax = b, etc?
    damp            = 1.000E-11
    norm(x)         = 5.817E+01
    norm(r)         = 2.86240736E-14 = rho1
    norm(A'r)       = 2.345E-14      = sigma1

    norm(s)         = 2.862E-03
    norm(x,s)       = 5.817E+01
    norm(rbar)      = 5.81678809E-10 = rho2
    norm(Abar'rbar) = 2.345E-14      = sigma2

    inform          = 1
    tol             = 1.490E-08
    test1           = 5.058E-17 (Ax = b)
    test2           = 8.896E-02 (least-squares)
    test3           = 4.378E-06 (damped least-squares)

 Solution  x:
     1  0.201284E-03     2  0.100792         3  0.201775         4  0.303146    
     5  0.404898         6  0.507026         7  0.609521         8  0.712373    

 LSMR  appears to be successful.
 Relative error in  x  =  4.71E-11


 --------------------------------------------------------------------
 Least-Squares Test Problem      P(  100  200    4    6    1.00E-12 )
 Condition no. =  2.4414E+08     Residual function =  9.235325653E-17
 --------------------------------------------------------------------


 Enter Acheck.
 Aprod1, Aprod2 seem OK.  Relative error =   6.3E-16


 Enter LSMR.       Least-squares solution of  Ax = b
 The matrix  A  has    100 rows   and    200 columns
 damp   =  1.00000042968507E-12
 atol   =  3.18E-16               conlim =  2.44E+11
 btol   =  3.18E-16               itnlim =      1400
 localSize (no. of vectors for local reorthogonalization) =      0

   Itn       x(1)           norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
     0  0.000000000E+00  2.874906028E+01  2.37E+01  1.00E+00  2.87E-02
     1 -1.695002601E+00  1.252179915E+01  6.69E+00  4.36E-01  5.85E-01  9.14E-01  1.09E+00
     2 -2.364760530E+00  7.389686688E+00  2.77E+00  2.57E-01  3.18E-01  1.18E+00  1.50E+00
     3 -2.664522889E+00  4.850271165E+00  1.33E+00  1.69E-01  2.05E-01  1.34E+00  1.97E+00
     4 -2.766750620E+00  3.330888830E+00  6.81E-01  1.16E-01  1.42E-01  1.44E+00  2.56E+00
     5 -2.739145674E+00  2.328339860E+00  3.57E-01  8.10E-02  1.03E-01  1.50E+00  3.36E+00
     6 -2.614959905E+00  1.631510749E+00  1.88E-01  5.68E-02  7.51E-02  1.53E+00  4.44E+00
     7 -2.414757857E+00  1.134904457E+00  9.70E-02  3.95E-02  5.51E-02  1.55E+00  5.96E+00
     8 -2.154897073E+00  7.782651325E-01  4.88E-02  2.71E-02  4.02E-02  1.56E+00  8.14E+00
     9 -1.851072291E+00  5.232076750E-01  2.36E-02  1.82E-02  2.88E-02  1.57E+00  1.13E+01
    10 -1.519587418E+00  3.431082989E-01  1.09E-02  1.19E-02  2.03E-02  1.57E+00  1.61E+01
    20 -2.515209587E-01  4.435702043E-02  2.58E-04  1.54E-03  2.66E-03  2.19E+00  6.59E+01
    30  1.700474716E-01  1.005069035E-02  1.99E-05  3.50E-04  6.96E-04  2.84E+00  1.36E+02
    40  3.237786020E-01  2.089286951E-03  9.35E-07  7.27E-05  1.39E-04  3.21E+00  5.27E+02
    50  3.335559353E-01  7.214904462E-04  1.32E-07  2.51E-05  5.13E-05  3.56E+00  1.12E+03
    60  3.051580854E-01  2.021867411E-04  1.27E-08  7.03E-06  1.61E-05  3.88E+00  4.80E+02
    70  2.689536780E-01  7.461100251E-05  7.07E-09  2.60E-06  2.21E-05  4.29E+00  4.80E+02
    80  2.526193055E-01  4.162831489E-05  6.93E-10  1.45E-06  3.65E-06  4.56E+00  8.27E+02
    90  2.480337374E-01  3.855374040E-05  6.66E-10  1.34E-06  3.57E-06  4.83E+00  4.80E+02
   100  1.915615880E-01  5.200414096E-06  1.55E-11  1.81E-07  5.88E-07  5.07E+00  4.80E+02
   110  1.915611460E-01  5.200373343E-06  1.55E-11  1.81E-07  5.64E-07  5.29E+00  6.09E+03

   Itn       x(1)           norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
   120  1.915252265E-01  5.196929030E-06  1.55E-11  1.81E-07  5.39E-07  5.53E+00  8.31E+02
   130  1.397948208E-01  3.365080173E-07  3.23E-12  1.17E-08  1.67E-06  5.73E+00  8.31E+02
   140  1.374557381E-01  2.504057285E-07  8.19E-14  8.71E-09  5.44E-08  6.00E+00  1.51E+03
   150  1.374552002E-01  2.504056974E-07  6.57E-14  8.71E-09  4.23E-08  6.21E+00  8.37E+03
   160  1.374551362E-01  2.504052297E-07  6.56E-14  8.71E-09  4.11E-08  6.38E+00  4.94E+04
   170  1.345901504E-01  2.290694819E-07  6.28E-14  7.97E-09  4.16E-08  6.58E+00  1.51E+03
   180  1.343546922E-01  2.273160182E-07  6.25E-14  7.91E-09  4.08E-08  6.74E+00  1.51E+03
   190  1.320727402E-01  2.103223520E-07  6.02E-14  7.32E-09  4.10E-08  6.98E+00  3.71E+04
   200  1.038322232E-01  1.031146401E-09  2.37E-16  3.59E-11  3.22E-08  7.15E+00  1.51E+03
   210  1.038317877E-01  1.031141199E-09  2.33E-17  3.59E-11  3.09E-09  7.32E+00  1.75E+03
   220  1.038317876E-01  1.031141197E-09  2.31E-17  3.59E-11  3.00E-09  7.46E+00  1.51E+03
   230  1.038317778E-01  1.031140295E-09  1.07E-17  3.59E-11  1.36E-09  7.62E+00  3.91E+04
   240  1.038317755E-01  1.031140252E-09  4.22E-18  3.59E-11  5.26E-10  7.78E+00  5.85E+04
   250  1.038317755E-01  1.031140252E-09  4.22E-18  3.59E-11  5.12E-10  7.99E+00  2.52E+06
   260  1.038317755E-01  1.031140252E-09  4.22E-18  3.59E-11  5.03E-10  8.13E+00  7.50E+04
   270  1.038317755E-01  1.031140252E-09  4.22E-18  3.59E-11  4.94E-10  8.28E+00  4.28E+06
   280  1.038138347E-01  1.030962306E-09  4.22E-18  3.59E-11  4.86E-10  8.42E+00  3.91E+04
   290  1.037466224E-01  1.030295662E-09  4.22E-18  3.58E-11  4.76E-10  8.59E+00  5.87E+05
   300  1.037466205E-01  1.030295643E-09  4.22E-18  3.58E-11  4.69E-10  8.73E+00  1.81E+05
   310  1.037446041E-01  1.030275643E-09  4.22E-18  3.58E-11  4.59E-10  8.91E+00  3.91E+04

   Itn       x(1)           norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
   320  1.037430855E-01  1.030260581E-09  4.22E-18  3.58E-11  4.52E-10  9.05E+00  3.91E+04
   330  1.036864625E-01  1.029698967E-09  4.21E-18  3.58E-11  4.46E-10  9.18E+00  3.91E+04
   340  5.445415003E-02  5.420950495E-10  3.05E-18  1.89E-11  6.05E-10  9.31E+00  3.91E+04
   350  2.035083399E-04  5.816789029E-11  1.95E-20  2.02E-12  3.56E-11  9.43E+00  3.91E+04
   360  2.013709389E-04  5.816788609E-11  3.92E-21  2.02E-12  7.02E-12  9.59E+00  3.91E+04
   370  2.012928051E-04  5.816788608E-11  1.40E-21  2.02E-12  2.47E-12  9.72E+00  3.91E+04
   380  2.012900813E-04  5.816788608E-11  1.22E-21  2.02E-12  2.13E-12  9.85E+00  1.72E+05
   390  2.012900813E-04  5.816788608E-11  1.22E-21  2.02E-12  2.10E-12  9.96E+00  4.43E+05
   400  2.012900813E-04  5.816788608E-11  1.22E-21  2.02E-12  2.08E-12  1.01E+01  3.91E+04
   410  2.012900813E-04  5.816788608E-11  1.22E-21  2.02E-12  2.05E-12  1.02E+01  1.24E+05
   420  2.012814761E-04  5.816788590E-11  2.93E-22  2.02E-12  4.87E-13  1.03E+01  3.91E+04
   430  2.012814587E-04  5.816788590E-11  2.88E-22  2.02E-12  4.74E-13  1.05E+01  3.91E+04
   440  2.012809466E-04  5.816788590E-11  1.65E-24  2.02E-12  2.69E-15  1.06E+01  3.91E+04
   444  2.012809465E-04  5.816788590E-11  1.60E-25  2.02E-12  2.59E-16  1.06E+01  3.91E+04

 Exit  LSMR.       istop  = 3               itn    =     444
 Exit  LSMR.       normA  = 1.06193E+01     condA  = 3.90914E+04
 Exit  LSMR.       normb  = 2.87491E+01     normx  = 5.81679E+01
 Exit  LSMR.       normr  = 5.81679E-11     normAr = 1.60119E-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)         = 5.817E+01
    norm(r)         = 3.42151645E-14 = rho1
    norm(A'r)       = 2.175E-14      = sigma1

    norm(s)         = 3.422E-02
    norm(x,s)       = 5.817E+01
    norm(rbar)      = 5.81678960E-11 = rho2
    norm(Abar'rbar) = 2.175E-14      = sigma2

    inform          = 1
    tol             = 1.490E-08
    test1           = 5.293E-17 (Ax = b)
    test2           = 5.985E-02 (least-squares)
    test3           = 3.521E-05 (damped least-squares)

 Solution  x:
     1  0.201281E-03     2  0.100792         3  0.201775         4  0.303146    
     5  0.404898         6  0.507026         7  0.609521         8  0.712373    

 LSMR  appears to be successful.
 Relative error in  x  =  8.39E-10


 --------------------------------------------------------------------
 Least-Squares Test Problem      P(  100  200    4    6    1.00E-12 )
 Condition no. =  2.4414E+08     Residual function =  9.235325653E-17
 --------------------------------------------------------------------


 Enter Acheck.
 Aprod1, Aprod2 seem OK.  Relative error =   6.3E-16


 Enter LSMR.       Least-squares solution of  Ax = b
 The matrix  A  has    100 rows   and    200 columns
 damp   =  1.00000042968507E-12
 atol   =  3.18E-16               conlim =  2.44E+11
 btol   =  3.18E-16               itnlim =      1400
 localSize (no. of vectors for local reorthogonalization) =     10

   Itn       x(1)           norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
     0  0.000000000E+00  2.874906028E+01  2.37E+01  1.00E+00  2.87E-02
     1 -1.695002601E+00  1.252179915E+01  6.69E+00  4.36E-01  5.85E-01  9.14E-01  1.09E+00
     2 -2.364760530E+00  7.389686688E+00  2.77E+00  2.57E-01  3.18E-01  1.18E+00  1.50E+00
     3 -2.664522889E+00  4.850271165E+00  1.33E+00  1.69E-01  2.05E-01  1.34E+00  1.97E+00
     4 -2.766750620E+00  3.330888830E+00  6.81E-01  1.16E-01  1.42E-01  1.44E+00  2.56E+00
     5 -2.739145674E+00  2.328339860E+00  3.57E-01  8.10E-02  1.03E-01  1.50E+00  3.36E+00
     6 -2.614959905E+00  1.631510749E+00  1.88E-01  5.68E-02  7.51E-02  1.53E+00  4.44E+00
     7 -2.414757857E+00  1.134904457E+00  9.70E-02  3.95E-02  5.51E-02  1.55E+00  5.96E+00
     8 -2.154897073E+00  7.782651325E-01  4.88E-02  2.71E-02  4.02E-02  1.56E+00  8.14E+00
     9 -1.851072301E+00  5.232076750E-01  2.36E-02  1.82E-02  2.88E-02  1.57E+00  1.13E+01
    10 -1.519583843E+00  3.431078865E-01  1.09E-02  1.19E-02  2.03E-02  1.57E+00  1.61E+01
    20 -2.502894189E-01  4.419994684E-02  2.57E-04  1.54E-03  2.66E-03  2.19E+00  1.40E+02
    30  2.047619291E-01  7.667837015E-03  1.61E-05  2.67E-04  7.47E-04  2.82E+00  1.19E+02
    40  3.237808140E-01  2.088882373E-03  9.35E-07  7.27E-05  1.39E-04  3.21E+00  2.04E+03
    50  3.335563099E-01  7.214982426E-04  1.32E-07  2.51E-05  5.13E-05  3.56E+00  2.92E+03
    60  3.051566886E-01  2.021856618E-04  1.26E-08  7.03E-06  1.62E-05  3.87E+00  7.35E+02
    70  2.555005201E-01  4.316212302E-05  3.04E-09  1.50E-06  1.68E-05  4.20E+00  1.56E+03
    80  2.526193060E-01  4.162831275E-05  6.93E-10  1.45E-06  3.70E-06  4.50E+00  1.56E+03
    90  2.522925886E-01  4.140932141E-05  6.91E-10  1.44E-06  3.45E-06  4.84E+00  2.88E+03
   100  1.938574802E-01  5.433891152E-06  1.35E-10  1.89E-07  4.90E-06  5.07E+00  1.56E+03
   110  1.915611618E-01  5.200372885E-06  1.55E-11  1.81E-07  5.63E-07  5.30E+00  6.22E+03

   Itn       x(1)           norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
   120  1.915589051E-01  5.200158601E-06  1.55E-11  1.81E-07  5.40E-07  5.52E+00  2.68E+03
   130  1.915359917E-01  5.197961485E-06  1.55E-11  1.81E-07  5.20E-07  5.73E+00  1.56E+03
   140  1.376463326E-01  2.511297280E-07  9.24E-13  8.74E-09  6.12E-07  6.01E+00  5.03E+03
   150  1.374552293E-01  2.504054193E-07  7.10E-14  8.71E-09  4.57E-08  6.20E+00  1.56E+03
   160  1.374551456E-01  2.504054113E-07  6.84E-14  8.71E-09  4.28E-08  6.39E+00  5.68E+03
   170  1.374551325E-01  2.504053103E-07  6.83E-14  8.71E-09  4.12E-08  6.62E+00  1.56E+03
   180  1.374545695E-01  2.504010122E-07  6.56E-14  8.71E-09  3.86E-08  6.80E+00  6.55E+04
   190  1.374545693E-01  2.504010107E-07  6.56E-14  8.71E-09  3.76E-08  6.97E+00  6.70E+04
   200  1.374536581E-01  2.503942250E-07  6.56E-14  8.71E-09  3.64E-08  7.20E+00  7.19E+03
   210  1.102919606E-01  4.811953461E-08  2.88E-14  1.67E-09  8.11E-08  7.37E+00  1.56E+03
   220  1.054095921E-01  1.181575012E-08  1.42E-14  4.11E-10  1.60E-07  7.53E+00  4.33E+04
   230  1.054060305E-01  1.178928220E-08  1.42E-14  4.10E-10  1.57E-07  7.68E+00  1.56E+03
   240  1.038422815E-01  1.034123837E-09  1.16E-15  3.60E-11  1.42E-07  7.90E+00  1.56E+03
   250  1.038367970E-01  1.031829437E-09  8.02E-16  3.59E-11  9.66E-08  8.05E+00  1.56E+03
   260  1.038317785E-01  1.031140452E-09  2.23E-17  3.59E-11  2.64E-09  8.19E+00  1.56E+03
   270  1.038317748E-01  1.031140451E-09  5.49E-18  3.59E-11  6.37E-10  8.37E+00  1.56E+03
   280  1.038317746E-01  1.031140448E-09  4.95E-18  3.59E-11  5.61E-10  8.56E+00  5.86E+03
   290  1.038317743E-01  1.031140446E-09  4.22E-18  3.59E-11  4.71E-10  8.70E+00  8.44E+03
   300  1.038317743E-01  1.031140446E-09  4.22E-18  3.59E-11  4.63E-10  8.83E+00  4.88E+04
   310  1.038317741E-01  1.031140444E-09  4.22E-18  3.59E-11  4.55E-10  8.99E+00  9.38E+03

   Itn       x(1)           norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
   320  1.038315798E-01  1.031138508E-09  4.22E-18  3.59E-11  4.47E-10  9.15E+00  1.91E+03
   330  1.038315798E-01  1.031138508E-09  4.22E-18  3.59E-11  4.40E-10  9.30E+00  4.33E+07
   340  1.038315798E-01  1.031138508E-09  4.22E-18  3.59E-11  4.34E-10  9.43E+00  8.27E+07
   350  1.038315797E-01  1.031138507E-09  4.22E-18  3.59E-11  4.27E-10  9.58E+00  7.69E+06
   360  1.038315796E-01  1.031138506E-09  4.22E-18  3.59E-11  4.20E-10  9.73E+00  3.89E+05
   370  1.038315550E-01  1.031138262E-09  4.22E-18  3.59E-11  4.14E-10  9.88E+00  2.01E+05
   380  1.038315091E-01  1.031137807E-09  4.22E-18  3.59E-11  4.09E-10  1.00E+01  2.71E+07
   390  1.038315084E-01  1.031137800E-09  4.22E-18  3.59E-11  4.04E-10  1.01E+01  8.05E+06
   400  1.038302627E-01  1.031125445E-09  4.22E-18  3.59E-11  3.98E-10  1.03E+01  8.39E+04
   410  1.038302049E-01  1.031124871E-09  4.22E-18  3.59E-11  3.93E-10  1.04E+01  6.85E+04
   420  8.215795287E-03  9.860333783E-11  1.17E-18  3.43E-12  1.13E-09  1.05E+01  1.94E+05
   430  2.028934283E-04  5.816790578E-11  1.65E-20  2.02E-12  2.67E-11  1.06E+01  1.86E+05
   440  2.022874247E-04  5.816790445E-11  1.30E-20  2.02E-12  2.07E-11  1.08E+01  1.86E+05
   450  2.021780343E-04  5.816790428E-11  1.23E-20  2.02E-12  1.93E-11  1.09E+01  1.86E+05
   460  2.021314400E-04  5.816790421E-11  1.19E-20  2.02E-12  1.86E-11  1.10E+01  1.86E+05
   470  2.021295251E-04  5.816790421E-11  1.19E-20  2.02E-12  1.84E-11  1.11E+01  1.86E+05
   480  2.021290923E-04  5.816790421E-11  1.19E-20  2.02E-12  1.81E-11  1.13E+01  5.00E+05
   490  2.019571005E-04  5.816789743E-11  1.06E-20  2.02E-12  1.60E-11  1.14E+01  1.86E+05
   500  2.019558521E-04  5.816789738E-11  1.06E-20  2.02E-12  1.59E-11  1.15E+01  1.86E+05
   510  2.018142931E-04  5.816789298E-11  9.39E-21  2.02E-12  1.39E-11  1.16E+01  1.86E+05

   Itn       x(1)           norm rbar    Abar'rbar Compatible    LS    norm Abar cond Abar
   520  2.018134796E-04  5.816789296E-11  9.38E-21  2.02E-12  1.37E-11  1.17E+01  1.86E+05
   530  2.018047532E-04  5.816789273E-11  9.30E-21  2.02E-12  1.35E-11  1.19E+01  1.86E+05
   540  2.013730423E-04  5.816788605E-11  3.61E-21  2.02E-12  5.19E-12  1.20E+01  1.86E+05
   550  2.013259920E-04  5.816788592E-11  2.24E-21  2.02E-12  3.19E-12  1.21E+01  1.86E+05
   560  2.013230781E-04  5.816788592E-11  2.12E-21  2.02E-12  3.00E-12  1.22E+01  1.86E+05
   570  2.013230145E-04  5.816788592E-11  2.12E-21  2.02E-12  2.97E-12  1.23E+01  1.86E+05
   580  2.013229192E-04  5.816788592E-11  2.12E-21  2.02E-12  2.93E-12  1.24E+01  1.86E+05
   590  2.012969657E-04  5.816788590E-11  2.43E-22  2.02E-12  3.34E-13  1.25E+01  1.86E+05
   600  2.012966198E-04  5.816788590E-11  4.65E-25  2.02E-12  6.34E-16  1.26E+01  1.86E+05
   601  2.012966198E-04  5.816788590E-11  1.03E-25  2.02E-12  1.40E-16  1.26E+01  1.86E+05

 Exit  LSMR.       istop  = 3               itn    =     601
 Exit  LSMR.       normA  = 1.26168E+01     condA  = 1.86297E+05
 Exit  LSMR.       normb  = 2.87491E+01     normx  = 5.81679E+01
 Exit  LSMR.       normr  = 5.81679E-11     normAr = 1.02804E-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)         = 5.817E+01
    norm(r)         = 2.68762020E-14 = rho1
    norm(A'r)       = 1.755E-14      = sigma1

    norm(s)         = 2.688E-02
    norm(x,s)       = 5.817E+01
    norm(rbar)      = 5.81678921E-11 = rho2
    norm(Abar'rbar) = 1.755E-14      = sigma2

    inform          = 1
    tol             = 1.490E-08
    test1           = 3.524E-17 (Ax = b)
    test2           = 5.175E-02 (least-squares)
    test3           = 2.391E-05 (damped least-squares)

 Solution  x:
     1  0.201297E-03     2  0.100792         3  0.201775         4  0.303146    
     5  0.404898         6  0.507026         7  0.609521         8  0.712373    

 LSMR  appears to be successful.
 Relative error in  x  =  1.23E-09
