1
 LEAST-SQUARES TEST PROBLEM      P(   10   10    1    1    0.00E+00 )

 CONDITION NO. =  1.0000E+01     RESIDUAL FUNCTION =  0.000000000E+00


                         LSQR   --   LEAST-SQUARES SOLUTION OF  A*X = B

                         THE MATRIX  A  HAS    10 ROWS   AND    10 COLS
                         THE DAMPING PARAMETER IS    DAMP   =  0.00E+00

                         ATOL   =  1.00E-06          CONLIM =  1.00E+02
                         BTOL   =  1.00E-06          ITNLIM =        70


   ITN         X(1)              FUNCTION       COMPATIBLE INCOMPATIBLE    NORM(A)    COND(A)

     0    0.0000000000E+00   6.2646727562E+00    1.000E+00    9.359E-02

     1   -6.3565826416E-01   3.9177606106E+00    6.254E-01    7.468E-01   7.51E-01   1.00E+00
     2   -4.7287148237E-01   2.1137504578E+00    3.374E-01    3.692E-01   1.10E+00   2.42E+00
     3   -2.8082305193E-01   1.6225987673E+00    2.590E-01    2.878E-01   1.30E+00   3.63E+00
     4    2.6813763380E-01   1.2517805099E+00    1.998E-01    1.809E-01   1.49E+00   5.27E+00
     5    1.2647807598E+00   1.0032224655E+00    1.601E-01    1.622E-01   1.59E+00   7.09E+00
     6    2.0645651817E+00   8.3912962675E-01    1.339E-01    1.427E-01   1.70E+00   9.03E+00
     7    3.0028426647E+00   7.0341902971E-01    1.123E-01    1.424E-01   1.79E+00   1.12E+01
     8    3.7522718906E+00   6.0955435038E-01    9.730E-02    9.735E-02   1.90E+00   1.34E+01
     9    5.4440460205E+00   4.4663104415E-01    7.129E-02    7.615E-02   1.95E+00   1.72E+01
    10    8.9966640472E+00   1.0641251691E-02    1.699E-03    5.095E-01   1.96E+00   2.44E+01

    11    9.0000066757E+00   5.6193115597E-05    8.970E-06    4.085E-01   2.20E+00   2.75E+01
    12    9.0000038147E+00   1.1359007885E-06    1.813E-07    2.618E-01   2.38E+00   2.98E+01

 NO. OF ITERATIONS =    12         STOPPING CONDITION =  1

 A*X - B  IS SMALL ENOUGH, GIVEN  ATOL, BTOL        


                  RESIDUAL NORM (ABAR*X - BBAR)    RESIDUAL NORM (NORMAL EQNS)    SOLUTION NORM (X)
                  -----------------------------    ---------------------------    -----------------

 ESTIMATED BY LSQR          1.135901E-06                   7.073550E-07              1.688194E+01
 COMPUTED FROM X            1.314347E-06                   8.059756E-07              1.688195E+01


 SOLUTION
     1   9.00000         2   8.00000         3   7.00000         4   6.00000         5   5.00000    
     6   4.00000         7   3.00000         8   2.00000         9   1.00000        10  0.411138E-06

 STANDARD ERRORS
     1  0.109550E-04     2  0.459677E-05     3  0.354871E-05     4  0.287907E-05     5  0.313618E-05
     6  0.203773E-05     7  0.264736E-05     8  0.259396E-05     9  0.194302E-05    10  0.305313E-05
1
 LEAST-SQUARES TEST PROBLEM      P(   20   10    1    1    1.00E-03 )

 CONDITION NO. =  9.9995E+00     RESIDUAL FUNCTION =  9.812161326E-01


                         LSQR   --   LEAST-SQUARES SOLUTION OF  A*X = B

                         THE MATRIX  A  HAS    20 ROWS   AND    10 COLS
                         THE DAMPING PARAMETER IS    DAMP   =  1.00E-03

                         ATOL   =  1.00E-06          CONLIM =  1.00E+02
                         BTOL   =  1.00E-06          ITNLIM =        80


   ITN         X(1)              FUNCTION       COMPATIBLE INCOMPATIBLE NORM(ABAR) COND(ABAR)

     0    0.0000000000E+00   6.3410720825E+00    1.000E+00    9.135E-02

     1   -6.3564282656E-01   4.0387825966E+00    6.369E-01    7.244E-01   7.51E-01   1.00E+00
     2   -4.7282588482E-01   2.3304092884E+00    3.675E-01    3.349E-01   1.10E+00   2.42E+00
     3   -2.8074872494E-01   1.8962264061E+00    2.990E-01    2.462E-01   1.30E+00   3.63E+00
     4    2.6825535297E-01   1.5905297995E+00    2.508E-01    1.424E-01   1.49E+00   5.27E+00
     5    1.2649660110E+00   1.4033055305E+00    2.213E-01    1.160E-01   1.59E+00   7.09E+00
     6    2.0648157597E+00   1.2910983562E+00    2.036E-01    9.273E-02   1.70E+00   9.03E+00
     7    3.0031628609E+00   1.2073038816E+00    1.904E-01    8.294E-02   1.79E+00   1.12E+01
     8    3.7526443005E+00   1.1551338434E+00    1.822E-01    5.138E-02   1.90E+00   1.34E+01
     9    5.4444594383E+00   1.0780756474E+00    1.700E-01    3.155E-02   1.95E+00   1.72E+01
    10    8.9998950958E+00   9.8121565580E-01    1.547E-01    4.275E-04   1.96E+00   2.44E+01

    11    8.9999990463E+00   9.8121523857E-01    1.547E-01    1.732E-05   2.20E+00   2.75E+01
    12    8.9999961853E+00   9.8121523857E-01    1.547E-01    2.114E-07   2.38E+00   2.98E+01

 NO. OF ITERATIONS =    12         STOPPING CONDITION =  2

 THE LEAST-SQRS SOLN IS GOOD ENOUGH, GIVEN  ATOL    


                  RESIDUAL NORM (ABAR*X - BBAR)    RESIDUAL NORM (NORMAL EQNS)    SOLUTION NORM (X)
                  -----------------------------    ---------------------------    -----------------

 ESTIMATED BY LSQR          9.812152E-01                   4.935435E-07              1.688194E+01
 COMPUTED FROM X            9.812161E-01                   1.383168E-06              1.688194E+01


 SOLUTION
     1   9.00000         2   8.00000         3   7.00000         4   6.00000         5   5.00000    
     6   4.00000         7   3.00000         8   2.00000         9   1.00000        10  0.157369E-05

 STANDARD ERRORS
     1   2.11592         2  0.887927         3  0.685502         4  0.556121         5  0.605677    
     6  0.393672         7  0.511558         8  0.500820         9  0.375161        10  0.589693    
1
 LEAST-SQUARES TEST PROBLEM      P(   40   40    4    2    0.00E+00 )

 CONDITION NO. =  1.0000E+02     RESIDUAL FUNCTION =  0.000000000E+00


                         LSQR   --   LEAST-SQUARES SOLUTION OF  A*X = B

                         THE MATRIX  A  HAS    40 ROWS   AND    40 COLS
                         THE DAMPING PARAMETER IS    DAMP   =  0.00E+00

                         ATOL   =  1.00E-06          CONLIM =  1.00E+03
                         BTOL   =  1.00E-06          ITNLIM =       130


   ITN         X(1)              FUNCTION       COMPATIBLE INCOMPATIBLE    NORM(A)    COND(A)

     0    0.0000000000E+00   2.8024190903E+01    1.000E+00    1.808E-02

     1   -2.8314873576E-01   1.9741458893E+01    7.044E-01    6.231E-01   7.14E-01   1.00E+00
     2    9.2511451244E-01   1.4378545761E+01    5.131E-01    3.639E-01   1.06E+00   2.43E+00
     3   -2.3143992424E+00   1.0936669350E+01    3.903E-01    2.463E-01   1.28E+00   3.98E+00
     4   -5.4493207932E+00   8.4813938141E+00    3.026E-01    1.811E-01   1.43E+00   5.71E+00
     5   -6.0275759697E+00   6.6154928207E+00    2.361E-01    1.306E-01   1.52E+00   7.69E+00
     6   -4.3975658417E+00   4.9546899796E+00    1.768E-01    8.499E-02   1.57E+00   1.03E+01
     7   -6.7687034607E-02   3.3862190247E+00    1.208E-01    5.068E-02   1.59E+00   1.47E+01
     8    5.4532089233E+00   2.1341383457E+00    7.615E-02    2.201E-01   1.59E+00   2.26E+01
     9    5.8253750801E+00   1.9850195646E+00    7.083E-02    2.120E-02   1.88E+00   2.73E+01
    10    7.9764881134E+00   1.5365939140E+00    5.483E-02    2.583E-01   1.88E+00   4.18E+01

    11    1.0606845856E+01   7.1494930983E-01    2.551E-02    1.619E-02   2.05E+00   5.89E+01
    12    1.0622430801E+01   7.1389228106E-01    2.547E-02    4.951E-03   2.14E+00   6.16E+01
    13    1.2923687935E+01   6.8432062864E-01    2.442E-02    6.420E-02   2.14E+00   8.68E+01
    14    2.7289695740E+01   4.5920413733E-01    1.639E-02    2.945E-01   2.20E+00   1.80E+02
    15    3.5471611023E+01   2.5204050541E-01    8.994E-03    1.445E-01   2.41E+00   2.36E+02
    16    3.8997940063E+01   4.4538867660E-03    1.589E-04    1.042E-01   2.44E+00   2.54E+02
    17    3.8998722076E+01   3.3508921042E-03    1.196E-04    1.956E-01   2.47E+00   2.58E+02
    18    3.8999889374E+01   1.0434892029E-03    3.724E-05    6.431E-02   2.59E+00   2.69E+02
    19    3.8999889374E+01   5.1696185255E-04    1.845E-05    2.122E-01   2.59E+00   2.71E+02
    20    3.9000015259E+01   9.2341520940E-05    3.295E-06    2.998E-01   2.67E+00   2.79E+02


 NO. OF ITERATIONS =    20         STOPPING CONDITION =  1

 A*X - B  IS SMALL ENOUGH, GIVEN  ATOL, BTOL        


                  RESIDUAL NORM (ABAR*X - BBAR)    RESIDUAL NORM (NORMAL EQNS)    SOLUTION NORM (X)
                  -----------------------------    ---------------------------    -----------------

 ESTIMATED BY LSQR          9.234152E-05                   7.393621E-05              1.433178E+02
 COMPUTED FROM X            9.045065E-05                   7.139872E-05              1.433178E+02


 SOLUTION
     1   39.0000         2   38.0000         3   36.9999         4   36.0000         5   34.9999    
     6   33.9999         7   32.9998         8   31.9999         9   31.0003        10   29.9997    
    11   29.0004        12   28.0001        13   27.0000        14   26.0000        15   25.0000    
    16   24.0000        17   23.0000        18   22.0000        19   21.0000        20   20.0000    
    21   19.0000        22   18.0000        23   17.0000        24   16.0000        25   15.0000    
    26   14.0000        27   13.0000        28   12.0000        29   10.9999        30   9.99994    
    31   8.99994        32   7.99996        33   6.99997        34   5.99999        35   5.00000    
    36   4.00002        37   3.00005        38   2.00009        39   1.00004        40  0.859125E-04

 STANDARD ERRORS
     1  0.368626E-02     2  0.370763E-02     3  0.380802E-02     4  0.396709E-02     5  0.123574E-02
     6  0.118604E-02     7  0.125493E-02     8  0.137386E-02     9  0.125236E-02    10  0.130350E-02
    11  0.124230E-02    12  0.107422E-02    13  0.828011E-03    14  0.600664E-03    15  0.395334E-03
    16  0.570248E-03    17  0.788722E-03    18  0.105146E-02    19  0.123388E-02    20  0.129152E-02
    21  0.121913E-02    22  0.104887E-02    23  0.779524E-03    24  0.408829E-03    25  0.110733E-03
    26  0.431225E-03    27  0.759362E-03    28  0.103668E-02    29  0.121495E-02    30  0.127772E-02
    31  0.122249E-02    32  0.103308E-02    33  0.758157E-03    34  0.407173E-03    35  0.110288E-03
    36  0.398166E-03    37  0.754045E-03    38  0.103428E-02    39  0.121448E-02    40  0.127737E-02
1
 LEAST-SQUARES TEST PROBLEM      P(   60   40    4    2    1.00E-02 )

 CONDITION NO. =  7.0714E+01     RESIDUAL FUNCTION =  1.867427826E+00


                         LSQR   --   LEAST-SQUARES SOLUTION OF  A*X = B

                         THE MATRIX  A  HAS    60 ROWS   AND    40 COLS
                         THE DAMPING PARAMETER IS    DAMP   =  1.00E-02

                         ATOL   =  1.00E-06          CONLIM =  7.07E+02
                         BTOL   =  1.00E-06          ITNLIM =       150


   ITN         X(1)              FUNCTION       COMPATIBLE INCOMPATIBLE NORM(ABAR) COND(ABAR)

     0    0.0000000000E+00   2.8122879028E+01    1.000E+00    1.796E-02

     1   -2.7555155754E-01   1.9871643066E+01    7.066E-01    6.195E-01   7.14E-01   1.00E+00
     2    9.4590985775E-01   1.4547824860E+01    5.173E-01    3.600E-01   1.06E+00   2.43E+00
     3   -2.2780542374E+00   1.1151213646E+01    3.965E-01    2.418E-01   1.28E+00   3.98E+00
     4   -5.3862991333E+00   8.7492313385E+00    3.111E-01    1.758E-01   1.43E+00   5.71E+00
     5   -5.9188137054E+00   6.9478220940E+00    2.471E-01    1.247E-01   1.52E+00   7.70E+00
     6   -4.2058157921E+00   5.3799419403E+00    1.913E-01    7.874E-02   1.57E+00   1.03E+01
     7    3.0285024643E-01   3.9649264812E+00    1.410E-01    4.393E-02   1.59E+00   1.47E+01
     8    5.7944393158E+00   2.9738211632E+00    1.057E-01    1.810E-01   1.59E+00   2.24E+01
     9    6.6217098236E+00   2.8309025764E+00    1.007E-01    1.573E-02   1.88E+00   2.73E+01
    10    9.9579467773E+00   2.4713921547E+00    8.788E-02    1.664E-01   1.88E+00   4.28E+01

    11    1.2977829933E+01   2.0863387585E+00    7.419E-02    4.048E-03   2.05E+00   5.80E+01
    12    1.3022308350E+01   2.0858957767E+00    7.417E-02    4.871E-03   2.09E+00   5.94E+01
    13    1.6823572159E+01   2.0552105904E+00    7.308E-02    3.669E-02   2.14E+00   8.41E+01
    14    3.5840904236E+01   1.8953518867E+00    6.740E-02    6.650E-02   2.20E+00   1.59E+02
    15    3.8557025909E+01   1.8713686466E+00    6.654E-02    9.241E-03   2.41E+00   1.82E+02
    16    3.8996620178E+01   1.8676160574E+00    6.641E-02    1.510E-03   2.44E+00   1.86E+02
    17    3.9000339508E+01   1.8674397469E+00    6.640E-02    1.243E-03   2.46E+00   1.87E+02
    18    3.8999965668E+01   1.8674252033E+00    6.640E-02    2.799E-05   2.59E+00   1.97E+02
    19    3.8999916077E+01   1.8674250841E+00    6.640E-02    1.321E-05   2.59E+00   1.98E+02
    20    3.8999923706E+01   1.8674250841E+00    6.640E-02    5.962E-06   2.70E+00   2.06E+02

    21    3.8999919891E+01   1.8674250841E+00    6.640E-02    6.672E-07   2.85E+00   2.18E+02

 NO. OF ITERATIONS =    21         STOPPING CONDITION =  2

 THE LEAST-SQRS SOLN IS GOOD ENOUGH, GIVEN  ATOL    


                  RESIDUAL NORM (ABAR*X - BBAR)    RESIDUAL NORM (NORMAL EQNS)    SOLUTION NORM (X)
                  -----------------------------    ---------------------------    -----------------

 ESTIMATED BY LSQR          1.867425E+00                   3.549116E-06              1.433177E+02
 COMPUTED FROM X            1.867427E+00                   1.056498E-05              1.433176E+02


 SOLUTION
     1   38.9999         2   37.9999         3   36.9999         4   36.0000         5   35.0000    
     6   34.0000         7   33.0000         8   32.0001         9   30.9998        10   29.9999    
    11   29.0000        12   27.9998        13   27.0000        14   26.0000        15   25.0000    
    16   24.0000        17   23.0000        18   21.9999        19   20.9999        20   19.9999    
    21   18.9999        22   17.9999        23   17.0000        24   16.0000        25   15.0000    
    26   14.0000        27   13.0000        28   12.0001        29   11.0001        30   10.0001    
    31   9.00007        32   8.00006        33   7.00005        34   6.00002        35   5.00000    
    36   3.99998        37   2.99996        38   1.99994        39  0.999927        40 -0.757449E-04

 STANDARD ERRORS
     1   6.82402         2   6.85820         3   7.03695         4   7.32551         5   3.12992    
     6   2.92985         7   2.91724         8   3.01514         9   2.43358        10   2.51307    
    11   2.39769        12   2.10148        13   1.70993        14   1.29887        15   1.09162    
    16   1.33726        17   1.52201        18   2.00941        19   2.33441        20   2.44090    
    21   2.31607        22   2.01045        23   1.44310        24  0.893846        25  0.498748    
    26  0.811398        27   1.43429        28   1.96923        29   2.30491        30   2.41920    
    31   2.29844        32   2.00198        33   1.43042        34  0.813733        35  0.178505    
    36  0.802413        37   1.43599        38   1.96184        39   2.30209        40   2.42303    
