19 October   2008   6:55:33.149 PM      
 
LAWSON_PRB3

 PROG3.  THIS PROGRAM DEMONSTRATES THE ALGORITHM SVDRS.


  THE RELATIVE NOISE LEVEL OF THE GENERATED DATA WILL BE   0.000    
  THE RELATIVE TOLERANCE FOR PSEUDORANK DETERMINATION IS RHO =  0.1000E-02





    M   N
    1   1

  SINGULAR VALUES OF MATRIX
      1  0.45000000E+02

  TRANSFORMED RIGHT SIDE, U**T*B
      1 -0.95000000E+02

  ABSOLUTE PSEUDORANK TOLERANCE, TAU =   0.4500E-01
  PSEUDORANK =     1

  ESTIMATED PARAMETERS, X=A**(+)*B, COMPUTED BY 'SVDRS'
      1  0.21111111E+01

  RESIDUAL VECTOR LENGTH =   0.0000E+00

  FROBENIUS NORM(A-U*(S,0)**T*V**T)
  ---------------------------------  =    0.000    
    SQRT(N) * SPECTRAL NORM OF A





    M   N
    1   2

  SINGULAR VALUES OF MATRIX
      1  0.46802778E+03    2  0.00000000E+00

  TRANSFORMED RIGHT SIDE, U**T*B
      1 -0.24500000E+03

  ABSOLUTE PSEUDORANK TOLERANCE, TAU =   0.4680    
  PSEUDORANK =     1

  ESTIMATED PARAMETERS, X=A**(+)*B, COMPUTED BY 'SVDRS'
      1 -0.39705547E+00    2 -0.34113216E+00

  RESIDUAL VECTOR LENGTH =   0.0000E+00

  FROBENIUS NORM(A-U*(S,0)**T*V**T)
  ---------------------------------  =   0.8588E-16
    SQRT(N) * SPECTRAL NORM OF A





    M   N
    1   3

  SINGULAR VALUES OF MATRIX
      1  0.34939233E+03    2  0.00000000E+00    3  0.00000000E+00

  TRANSFORMED RIGHT SIDE, U**T*B
      1 -0.44500000E+03

  ABSOLUTE PSEUDORANK TOLERANCE, TAU =   0.3494    
  PSEUDORANK =     1

  ESTIMATED PARAMETERS, X=A**(+)*B, COMPUTED BY 'SVDRS'
      1  0.10753635E+01    2 -0.56502150E+00    3 -0.38275650E+00

  RESIDUAL VECTOR LENGTH =   0.0000E+00

  FROBENIUS NORM(A-U*(S,0)**T*V**T)
  ---------------------------------  =   0.6642E-16
    SQRT(N) * SPECTRAL NORM OF A





    M   N
    2   1

  SINGULAR VALUES OF MATRIX
      1  0.49704125E+03

  TRANSFORMED RIGHT SIDE, U**T*B
      1  0.62469665E+02    2  0.36214298E+03

  ABSOLUTE PSEUDORANK TOLERANCE, TAU =   0.4970    
  PSEUDORANK =     1

  ESTIMATED PARAMETERS, X=A**(+)*B, COMPUTED BY 'SVDRS'
      1  0.12568306E+00

  RESIDUAL VECTOR LENGTH =   0.3621E+03

  FROBENIUS NORM(A-U*(S,0)**T*V**T)
  ---------------------------------  =   0.2287E-15
    SQRT(N) * SPECTRAL NORM OF A





    M   N
    2   2

  SINGULAR VALUES OF MATRIX
      1  0.51157783E+03    2  0.48868419E+02

  TRANSFORMED RIGHT SIDE, U**T*B
      1 -0.36808949E+03    2 -0.27121970E+03

  ABSOLUTE PSEUDORANK TOLERANCE, TAU =   0.5116    
  PSEUDORANK =     2

  ESTIMATED PARAMETERS, X=A**(+)*B, COMPUTED BY 'SVDRS'
      1  0.37100000E+01    2  0.41900000E+01

  RESIDUAL VECTOR LENGTH =   0.0000E+00

  FROBENIUS NORM(A-U*(S,0)**T*V**T)
  ---------------------------------  =   0.2079E-15
    SQRT(N) * SPECTRAL NORM OF A





    M   N
    2   3

  SINGULAR VALUES OF MATRIX
      1  0.65889866E+03    2  0.31780899E+03    3  0.00000000E+00

  TRANSFORMED RIGHT SIDE, U**T*B
      1  0.31458889E+03    2 -0.10992648E+03

  ABSOLUTE PSEUDORANK TOLERANCE, TAU =   0.6589    
  PSEUDORANK =     2

  ESTIMATED PARAMETERS, X=A**(+)*B, COMPUTED BY 'SVDRS'
      1  0.56305587E+00    2 -0.68415051E-02    3  0.17468643E+00

  RESIDUAL VECTOR LENGTH =   0.0000E+00

  FROBENIUS NORM(A-U*(S,0)**T*V**T)
  ---------------------------------  =   0.1783E-15
    SQRT(N) * SPECTRAL NORM OF A





    M   N
    3   1

  SINGULAR VALUES OF MATRIX
      1  0.67385087E+03

  TRANSFORMED RIGHT SIDE, U**T*B
      1  0.20505279E+03    2 -0.23786880E+03    3  0.19607852E+03

  ABSOLUTE PSEUDORANK TOLERANCE, TAU =   0.6739    
  PSEUDORANK =     1

  ESTIMATED PARAMETERS, X=A**(+)*B, COMPUTED BY 'SVDRS'
      1 -0.30429995E+00

  RESIDUAL VECTOR LENGTH =   0.3083E+03

  FROBENIUS NORM(A-U*(S,0)**T*V**T)
  ---------------------------------  =   0.8695E-16
    SQRT(N) * SPECTRAL NORM OF A





    M   N
    3   2

  SINGULAR VALUES OF MATRIX
      1  0.64018064E+03    2  0.25163216E+03

  TRANSFORMED RIGHT SIDE, U**T*B
      1 -0.33439744E+03    2 -0.88473345E+02    3  0.36935866E+03

  ABSOLUTE PSEUDORANK TOLERANCE, TAU =   0.6402    
  PSEUDORANK =     2

  ESTIMATED PARAMETERS, X=A**(+)*B, COMPUTED BY 'SVDRS'
      1 -0.59653179E+00    2  0.20154143E+00

  RESIDUAL VECTOR LENGTH =   0.3694E+03

  FROBENIUS NORM(A-U*(S,0)**T*V**T)
  ---------------------------------  =   0.1803E-15
    SQRT(N) * SPECTRAL NORM OF A





    M   N
    3   3

  SINGULAR VALUES OF MATRIX
      1  0.82810814E+03    2  0.35389339E+03    3  0.18767360E+03

  TRANSFORMED RIGHT SIDE, U**T*B
      1  0.35173128E+03    2 -0.22248603E+03    3  0.23422227E+03

  ABSOLUTE PSEUDORANK TOLERANCE, TAU =   0.8281    
  PSEUDORANK =     3

  ESTIMATED PARAMETERS, X=A**(+)*B, COMPUTED BY 'SVDRS'
      1 -0.11818182E+01    2  0.50909091E+00    3 -0.69090909E+00

  RESIDUAL VECTOR LENGTH =   0.0000E+00

  FROBENIUS NORM(A-U*(S,0)**T*V**T)
  ---------------------------------  =   0.2827E-15
    SQRT(N) * SPECTRAL NORM OF A





    M   N
    6   6

  SINGULAR VALUES OF MATRIX
      1  0.13706831E+04    2  0.90938945E+03    3  0.68827771E+03
      4  0.10682895E+03    5  0.54626409E-13    6  0.66690078E-14

  TRANSFORMED RIGHT SIDE, U**T*B
      1  0.43693249E+03    2 -0.37288436E+03    3 -0.89844011E+02
      4 -0.58403984E+02    5 -0.80218078E+02    6 -0.17111209E+03

  ABSOLUTE PSEUDORANK TOLERANCE, TAU =    1.371    
  PSEUDORANK =     4

  ESTIMATED PARAMETERS, X=A**(+)*B, COMPUTED BY 'SVDRS'
      1  0.52976190E+00    2  0.77380952E-01    3  0.11904762E-01
      4 -0.44047619E+00    5  0.19047619E+00    6 -0.26190476E+00

  RESIDUAL VECTOR LENGTH =   0.1890E+03

  FROBENIUS NORM(A-U*(S,0)**T*V**T)
  ---------------------------------  =   0.2885E-15
    SQRT(N) * SPECTRAL NORM OF A





    M   N
    6   7

  SINGULAR VALUES OF MATRIX
      1  0.11330920E+04    2  0.10151715E+04    3  0.77333871E+03
      4  0.63419319E+03    5  0.30829133E+03    6  0.21513289E+03
      7  0.00000000E+00

  TRANSFORMED RIGHT SIDE, U**T*B
      1  0.32251485E+03    2 -0.55017435E+03    3 -0.13280965E+03
      4  0.27904995E+03    5  0.36438832E+03    6  0.19533619E+03

  ABSOLUTE PSEUDORANK TOLERANCE, TAU =    1.133    
  PSEUDORANK =     6

  ESTIMATED PARAMETERS, X=A**(+)*B, COMPUTED BY 'SVDRS'
      1 -0.14071429E+01    2 -0.28571429E+00    3  0.28571429E+00
      4 -0.28571429E+00    5 -0.30714286E+00    6  0.50000000E+00
      7 -0.50000000E+00

  RESIDUAL VECTOR LENGTH =   0.0000E+00

  FROBENIUS NORM(A-U*(S,0)**T*V**T)
  ---------------------------------  =   0.5829E-15
    SQRT(N) * SPECTRAL NORM OF A





    M   N
    6   8

  SINGULAR VALUES OF MATRIX
      1  0.13813042E+04    2  0.10356070E+04    3  0.76751433E+03
      4  0.69028716E+03    5  0.10555758E+03    6  0.17517617E-13
      7  0.00000000E+00    8  0.00000000E+00

  TRANSFORMED RIGHT SIDE, U**T*B
      1  0.88823196E+01    2 -0.20255290E+03    3  0.46315700E+03
      4 -0.25856731E+03    5  0.21776585E+03    6 -0.17677670E+03

  ABSOLUTE PSEUDORANK TOLERANCE, TAU =    1.381    
  PSEUDORANK =     5

  ESTIMATED PARAMETERS, X=A**(+)*B, COMPUTED BY 'SVDRS'
      1 -0.61875000E+00    2  0.74375000E+00    3 -0.11187500E+01
      4  0.24375000E+00    5 -0.11812500E+01    6  0.18125000E+00
      7 -0.99375000E+00    8  0.36875000E+00

  RESIDUAL VECTOR LENGTH =   0.1768E+03

  FROBENIUS NORM(A-U*(S,0)**T*V**T)
  ---------------------------------  =   0.5852E-15
    SQRT(N) * SPECTRAL NORM OF A





    M   N
    7   6

  SINGULAR VALUES OF MATRIX
      1  0.13725593E+04    2  0.12111324E+04    3  0.70792549E+03
      4  0.11013982E+03    5  0.12223540E-12    6  0.72039975E-13

  TRANSFORMED RIGHT SIDE, U**T*B
      1 -0.22502484E+03    2 -0.24926150E+03    3 -0.81893694E+02
      4 -0.21235637E+02    5  0.50358563E+03    6 -0.87007748E+02
      7 -0.14170803E+03

  ABSOLUTE PSEUDORANK TOLERANCE, TAU =    1.373    
  PSEUDORANK =     4

  ESTIMATED PARAMETERS, X=A**(+)*B, COMPUTED BY 'SVDRS'
      1  0.14583333E+00    2 -0.20833333E-01    3  0.83333333E-01
      4 -0.83333333E-01    5 -0.10416667E+00    6 -0.27083333E+00

  RESIDUAL VECTOR LENGTH =   0.5303E+03

  FROBENIUS NORM(A-U*(S,0)**T*V**T)
  ---------------------------------  =   0.7371E-15
    SQRT(N) * SPECTRAL NORM OF A





    M   N
    7   7

  SINGULAR VALUES OF MATRIX
      1  0.11523473E+04    2  0.10639848E+04    3  0.88970890E+03
      4  0.76878189E+03    5  0.54990517E+03    6  0.32042817E+03
      7  0.67672405E+02

  TRANSFORMED RIGHT SIDE, U**T*B
      1  0.14077866E+03    2 -0.13632525E+03    3 -0.22910985E+02
      4  0.51857788E+03    5  0.33042939E+03    6 -0.39148988E+03
      7 -0.21183947E+03

  ABSOLUTE PSEUDORANK TOLERANCE, TAU =    1.152    
  PSEUDORANK =     7

  ESTIMATED PARAMETERS, X=A**(+)*B, COMPUTED BY 'SVDRS'
      1 -0.50000000E+00    2  0.50000000E+00    3 -0.15000000E+01
      4 -0.11000000E+01    5  0.11000000E+01    6 -0.21000000E+01
      7  0.16000000E+01

  RESIDUAL VECTOR LENGTH =   0.0000E+00

  FROBENIUS NORM(A-U*(S,0)**T*V**T)
  ---------------------------------  =   0.6817E-15
    SQRT(N) * SPECTRAL NORM OF A





    M   N
    7   8

  SINGULAR VALUES OF MATRIX
      1  0.15406063E+04    2  0.10023869E+04    3  0.80430804E+03
      4  0.70606224E+03    5  0.47509711E+03    6  0.69014225E-13
      7  0.53196780E-13    8  0.00000000E+00

  TRANSFORMED RIGHT SIDE, U**T*B
      1  0.30756227E+03    2  0.23204856E+03    3  0.52075186E+03
      4  0.37423390E+03    5  0.63876251E+00    6  0.24616288E+03
      7  0.43632990E+02

  ABSOLUTE PSEUDORANK TOLERANCE, TAU =    1.541    
  PSEUDORANK =     5

  ESTIMATED PARAMETERS, X=A**(+)*B, COMPUTED BY 'SVDRS'
      1 -0.24228111E+00    2 -0.26146313E+00    3 -0.23081797E+00
      4 -0.19896313E+00    5 -0.16831797E+00    6  0.36353687E+00
      7  0.39418203E+00    8  0.50771889E+00

  RESIDUAL VECTOR LENGTH =   0.2500E+03

  FROBENIUS NORM(A-U*(S,0)**T*V**T)
  ---------------------------------  =   0.4642E-15
    SQRT(N) * SPECTRAL NORM OF A





    M   N
    8   6

  SINGULAR VALUES OF MATRIX
      1  0.14502560E+04    2  0.11972985E+04    3  0.75884515E+03
      4  0.12879410E+03    5  0.51473443E-13    6  0.27123325E-13

  TRANSFORMED RIGHT SIDE, U**T*B
      1  0.35254588E+03    2 -0.10789493E+03    3 -0.25535402E+03
      4  0.39219181E+03    5 -0.40254153E+03    6  0.30943500E+03
      7  0.95038961E+02    8 -0.12011619E+03

  ABSOLUTE PSEUDORANK TOLERANCE, TAU =    1.450    
  PSEUDORANK =     4

  ESTIMATED PARAMETERS, X=A**(+)*B, COMPUTED BY 'SVDRS'
      1 -0.14375000E+01    2  0.10625000E+01    3 -0.12500000E+01
      4  0.12500000E+01    5 -0.11875000E+01    6  0.13125000E+01

  RESIDUAL VECTOR LENGTH =   0.5303E+03

  FROBENIUS NORM(A-U*(S,0)**T*V**T)
  ---------------------------------  =   0.4530E-15
    SQRT(N) * SPECTRAL NORM OF A





    M   N
    8   7

  SINGULAR VALUES OF MATRIX
      1  0.12723864E+04    2  0.11050916E+04    3  0.93045048E+03
      4  0.74331607E+03    5  0.53525310E+03    6  0.34907234E+03
      7  0.10296160E+03

  TRANSFORMED RIGHT SIDE, U**T*B
      1 -0.86605383E+02    2 -0.32267496E+03    3 -0.47571678E+03
      4 -0.12052994E+03    5  0.49779875E+03    6 -0.46659207E+03
      7  0.47272605E+02    8 -0.56843419E-13

  ABSOLUTE PSEUDORANK TOLERANCE, TAU =    1.272    
  PSEUDORANK =     7

  ESTIMATED PARAMETERS, X=A**(+)*B, COMPUTED BY 'SVDRS'
      1  0.10000000E+01    2 -0.60000000E+00    3  0.60000000E+00
      4  0.40000000E+00    5  0.60000000E+00    6  0.11622647E-14
      7  0.10000000E+01

  RESIDUAL VECTOR LENGTH =   0.5684E-13

  FROBENIUS NORM(A-U*(S,0)**T*V**T)
  ---------------------------------  =   0.4842E-15
    SQRT(N) * SPECTRAL NORM OF A





    M   N
    8   8

  SINGULAR VALUES OF MATRIX
      1  0.15846707E+04    2  0.12793851E+04    3  0.91703164E+03
      4  0.78004727E+03    5  0.11032512E+03    6  0.16206940E-12
      7  0.55088193E-13    8  0.85184481E-14

  TRANSFORMED RIGHT SIDE, U**T*B
      1 -0.10890799E+02    2 -0.20163306E+03    3 -0.39331004E+03
      4  0.28532538E+03    5 -0.20389247E+03    6 -0.21785832E+03
      7  0.21481332E+03    8 -0.11957851E+02

  ABSOLUTE PSEUDORANK TOLERANCE, TAU =    1.585    
  PSEUDORANK =     5

  ESTIMATED PARAMETERS, X=A**(+)*B, COMPUTED BY 'SVDRS'
      1  0.10062500E+01    2 -0.25625000E+00    3  0.10062500E+01
      4 -0.25625000E+00    5  0.63125000E+00    6 -0.63125000E+00
      7  0.56875000E+00    8 -0.69375000E+00

  RESIDUAL VECTOR LENGTH =   0.3062E+03

  FROBENIUS NORM(A-U*(S,0)**T*V**T)
  ---------------------------------  =   0.3933E-15
    SQRT(N) * SPECTRAL NORM OF A

 PROG3.  THIS PROGRAM DEMONSTRATES THE ALGORITHM SVDRS.


  THE RELATIVE NOISE LEVEL OF THE GENERATED DATA WILL BE  0.1000E-03
  THE RELATIVE TOLERANCE FOR PSEUDORANK DETERMINATION IS RHO =  0.1000E-02





    M   N
    1   1

  SINGULAR VALUES OF MATRIX
      1  0.45029000E+02

  TRANSFORMED RIGHT SIDE, U**T*B
      1 -0.95015700E+02

  ABSOLUTE PSEUDORANK TOLERANCE, TAU =   0.4503E-01
  PSEUDORANK =     1

  ESTIMATED PARAMETERS, X=A**(+)*B, COMPUTED BY 'SVDRS'
      1  0.21101002E+01

  RESIDUAL VECTOR LENGTH =   0.0000E+00

  FROBENIUS NORM(A-U*(S,0)**T*V**T)
  ---------------------------------  =    0.000    
    SQRT(N) * SPECTRAL NORM OF A





    M   N
    1   2

  SINGULAR VALUES OF MATRIX
      1  0.46803295E+03    2  0.00000000E+00

  TRANSFORMED RIGHT SIDE, U**T*B
      1 -0.24498830E+03

  ABSOLUTE PSEUDORANK TOLERANCE, TAU =   0.4680    
  PSEUDORANK =     1

  ESTIMATED PARAMETERS, X=A**(+)*B, COMPUTED BY 'SVDRS'
      1 -0.39700614E+00    2 -0.34114233E+00

  RESIDUAL VECTOR LENGTH =   0.0000E+00

  FROBENIUS NORM(A-U*(S,0)**T*V**T)
  ---------------------------------  =    0.000    
    SQRT(N) * SPECTRAL NORM OF A





    M   N
    1   3

  SINGULAR VALUES OF MATRIX
      1  0.34937096E+03    2  0.00000000E+00    3  0.00000000E+00

  TRANSFORMED RIGHT SIDE, U**T*B
      1 -0.44499690E+03

  ABSOLUTE PSEUDORANK TOLERANCE, TAU =   0.3494    
  PSEUDORANK =     1

  ESTIMATED PARAMETERS, X=A**(+)*B, COMPUTED BY 'SVDRS'
      1  0.10753417E+01    2 -0.56513080E+00    3 -0.38288597E+00

  RESIDUAL VECTOR LENGTH =   0.0000E+00

  FROBENIUS NORM(A-U*(S,0)**T*V**T)
  ---------------------------------  =   0.4697E-16
    SQRT(N) * SPECTRAL NORM OF A





    M   N
    2   1

  SINGULAR VALUES OF MATRIX
      1  0.49704258E+03

  TRANSFORMED RIGHT SIDE, U**T*B
      1  0.62456607E+02    2  0.36212682E+03

  ABSOLUTE PSEUDORANK TOLERANCE, TAU =   0.4970    
  PSEUDORANK =     1

  ESTIMATED PARAMETERS, X=A**(+)*B, COMPUTED BY 'SVDRS'
      1  0.12565645E+00

  RESIDUAL VECTOR LENGTH =   0.3621E+03

  FROBENIUS NORM(A-U*(S,0)**T*V**T)
  ---------------------------------  =    0.000    
    SQRT(N) * SPECTRAL NORM OF A





    M   N
    2   2

  SINGULAR VALUES OF MATRIX
      1  0.51157447E+03    2  0.48911531E+02

  TRANSFORMED RIGHT SIDE, U**T*B
      1 -0.36808095E+03    2 -0.27119911E+03

  ABSOLUTE PSEUDORANK TOLERANCE, TAU =   0.5116    
  PSEUDORANK =     2

  ESTIMATED PARAMETERS, X=A**(+)*B, COMPUTED BY 'SVDRS'
      1  0.37068637E+01    2  0.41857378E+01

  RESIDUAL VECTOR LENGTH =   0.0000E+00

  FROBENIUS NORM(A-U*(S,0)**T*V**T)
  ---------------------------------  =   0.1179E-15
    SQRT(N) * SPECTRAL NORM OF A





    M   N
    2   3

  SINGULAR VALUES OF MATRIX
      1  0.65889767E+03    2  0.31779033E+03    3  0.00000000E+00

  TRANSFORMED RIGHT SIDE, U**T*B
      1  0.31463276E+03    2 -0.10991746E+03

  ABSOLUTE PSEUDORANK TOLERANCE, TAU =   0.6589    
  PSEUDORANK =     2

  ESTIMATED PARAMETERS, X=A**(+)*B, COMPUTED BY 'SVDRS'
      1  0.56312757E+00    2 -0.68290741E-02    3  0.17462374E+00

  RESIDUAL VECTOR LENGTH =   0.0000E+00

  FROBENIUS NORM(A-U*(S,0)**T*V**T)
  ---------------------------------  =   0.3014E-15
    SQRT(N) * SPECTRAL NORM OF A





    M   N
    3   1

  SINGULAR VALUES OF MATRIX
      1  0.67382030E+03

  TRANSFORMED RIGHT SIDE, U**T*B
      1  0.20507927E+03    2 -0.23784018E+03    3  0.19611469E+03

  ABSOLUTE PSEUDORANK TOLERANCE, TAU =   0.6738    
  PSEUDORANK =     1

  ESTIMATED PARAMETERS, X=A**(+)*B, COMPUTED BY 'SVDRS'
      1 -0.30435306E+00

  RESIDUAL VECTOR LENGTH =   0.3083E+03

  FROBENIUS NORM(A-U*(S,0)**T*V**T)
  ---------------------------------  =   0.2271E-15
    SQRT(N) * SPECTRAL NORM OF A





    M   N
    3   2

  SINGULAR VALUES OF MATRIX
      1  0.64017800E+03    2  0.25160941E+03

  TRANSFORMED RIGHT SIDE, U**T*B
      1  0.33437564E+03    2  0.88550792E+02    3  0.36932499E+03

  ABSOLUTE PSEUDORANK TOLERANCE, TAU =   0.6402    
  PSEUDORANK =     2

  ESTIMATED PARAMETERS, X=A**(+)*B, COMPUTED BY 'SVDRS'
      1 -0.59677148E+00    2  0.20134179E+00

  RESIDUAL VECTOR LENGTH =   0.3693E+03

  FROBENIUS NORM(A-U*(S,0)**T*V**T)
  ---------------------------------  =   0.2106E-15
    SQRT(N) * SPECTRAL NORM OF A





    M   N
    3   3

  SINGULAR VALUES OF MATRIX
      1  0.82814807E+03    2  0.35388199E+03    3  0.18763580E+03

  TRANSFORMED RIGHT SIDE, U**T*B
      1  0.35172659E+03    2 -0.22243783E+03    3  0.23422147E+03

  ABSOLUTE PSEUDORANK TOLERANCE, TAU =   0.8281    
  PSEUDORANK =     3

  ESTIMATED PARAMETERS, X=A**(+)*B, COMPUTED BY 'SVDRS'
      1 -0.11817733E+01    2  0.50900719E+00    3 -0.69137232E+00

  RESIDUAL VECTOR LENGTH =   0.0000E+00

  FROBENIUS NORM(A-U*(S,0)**T*V**T)
  ---------------------------------  =   0.4178E-15
    SQRT(N) * SPECTRAL NORM OF A





    M   N
    6   6

  SINGULAR VALUES OF MATRIX
      1  0.13706566E+04    2  0.90935672E+03    3  0.68827031E+03
      4  0.10680414E+03    5  0.75094991E-01    6  0.86432079E-02

  TRANSFORMED RIGHT SIDE, U**T*B
      1  0.43695854E+03    2 -0.37290660E+03    3 -0.89822405E+02
      4 -0.58381036E+02    5  0.16791084E+03    6  0.86650203E+02

  ABSOLUTE PSEUDORANK TOLERANCE, TAU =    1.371    
  PSEUDORANK =     4

  ESTIMATED PARAMETERS, X=A**(+)*B, COMPUTED BY 'SVDRS'
      1  0.52993780E+00    2  0.77286231E-01    3  0.11828514E-01
      4 -0.44043547E+00    5  0.19024167E+00    6 -0.26171298E+00

  RESIDUAL VECTOR LENGTH =   0.1890E+03

  FROBENIUS NORM(A-U*(S,0)**T*V**T)
  ---------------------------------  =   0.2785E-15
    SQRT(N) * SPECTRAL NORM OF A





    M   N
    6   7

  SINGULAR VALUES OF MATRIX
      1  0.11331189E+04    2  0.10151724E+04    3  0.77331062E+03
      4  0.63422830E+03    5  0.30830141E+03    6  0.21513208E+03
      7  0.00000000E+00

  TRANSFORMED RIGHT SIDE, U**T*B
      1  0.32262746E+03    2 -0.55010544E+03    3 -0.13301769E+03
      4  0.27906441E+03    5  0.36440383E+03    6  0.19522781E+03

  ABSOLUTE PSEUDORANK TOLERANCE, TAU =    1.133    
  PSEUDORANK =     6

  ESTIMATED PARAMETERS, X=A**(+)*B, COMPUTED BY 'SVDRS'
      1 -0.14066947E+01    2 -0.28577108E+00    3  0.28595398E+00
      4 -0.28568220E+00    5 -0.30731614E+00    6  0.50017258E+00
      7 -0.50002167E+00

  RESIDUAL VECTOR LENGTH =   0.0000E+00

  FROBENIUS NORM(A-U*(S,0)**T*V**T)
  ---------------------------------  =   0.4602E-15
    SQRT(N) * SPECTRAL NORM OF A





    M   N
    6   8

  SINGULAR VALUES OF MATRIX
      1  0.13812720E+04    2  0.10355958E+04    3  0.76749561E+03
      4  0.69031954E+03    5  0.10558606E+03    6  0.69059164E-01
      7  0.00000000E+00    8  0.00000000E+00

  TRANSFORMED RIGHT SIDE, U**T*B
      1  0.89108836E+01    2 -0.20252171E+03    3  0.46316961E+03
      4  0.25856100E+03    5 -0.21778844E+03    6 -0.17671630E+03

  ABSOLUTE PSEUDORANK TOLERANCE, TAU =    1.381    
  PSEUDORANK =     5

  ESTIMATED PARAMETERS, X=A**(+)*B, COMPUTED BY 'SVDRS'
      1 -0.61897436E+00    2  0.74404255E+00    3 -0.11183885E+01
      4  0.24355438E+00    5 -0.11807933E+01    6  0.18095903E+00
      7 -0.99366151E+00    8  0.36894575E+00

  RESIDUAL VECTOR LENGTH =   0.1767E+03

  FROBENIUS NORM(A-U*(S,0)**T*V**T)
  ---------------------------------  =   0.3655E-15
    SQRT(N) * SPECTRAL NORM OF A





    M   N
    7   6

  SINGULAR VALUES OF MATRIX
      1  0.13725623E+04    2  0.12111338E+04    3  0.70798934E+03
      4  0.11012123E+03    5  0.59125395E-01    6  0.38142116E-01

  TRANSFORMED RIGHT SIDE, U**T*B
      1 -0.22509957E+03    2 -0.24920425E+03    3 -0.81826823E+02
      4 -0.21178502E+02    5 -0.49468614E+03    6  0.18331588E+03
      7  0.54252409E+02

  ABSOLUTE PSEUDORANK TOLERANCE, TAU =    1.373    
  PSEUDORANK =     4

  ESTIMATED PARAMETERS, X=A**(+)*B, COMPUTED BY 'SVDRS'
      1  0.14559674E+00    2 -0.20689079E-01    3  0.83210797E-01
      4 -0.83103292E-01    5 -0.10439898E+00    6 -0.27059660E+00

  RESIDUAL VECTOR LENGTH =   0.5303E+03

  FROBENIUS NORM(A-U*(S,0)**T*V**T)
  ---------------------------------  =   0.4484E-15
    SQRT(N) * SPECTRAL NORM OF A





    M   N
    7   7

  SINGULAR VALUES OF MATRIX
      1  0.11523009E+04    2  0.10639904E+04    3  0.88971597E+03
      4  0.76872369E+03    5  0.54988224E+03    6  0.32045684E+03
      7  0.67699768E+02

  TRANSFORMED RIGHT SIDE, U**T*B
      1  0.14076309E+03    2 -0.13635612E+03    3 -0.22688757E+02
      4  0.51854436E+03    5  0.33038909E+03    6 -0.39160207E+03
      7 -0.21183678E+03

  ABSOLUTE PSEUDORANK TOLERANCE, TAU =    1.152    
  PSEUDORANK =     7

  ESTIMATED PARAMETERS, X=A**(+)*B, COMPUTED BY 'SVDRS'
      1 -0.49979958E+00    2  0.50006455E+00    3 -0.15001129E+01
      4 -0.10992090E+01    5  0.10994740E+01    6 -0.20994420E+01
      7  0.15991878E+01

  RESIDUAL VECTOR LENGTH =   0.0000E+00

  FROBENIUS NORM(A-U*(S,0)**T*V**T)
  ---------------------------------  =   0.9535E-15
    SQRT(N) * SPECTRAL NORM OF A





    M   N
    7   8

  SINGULAR VALUES OF MATRIX
      1  0.15406144E+04    2  0.10024035E+04    3  0.80428950E+03
      4  0.70605861E+03    5  0.47513272E+03    6  0.74326888E-01
      7  0.35046287E-01    8  0.00000000E+00

  TRANSFORMED RIGHT SIDE, U**T*B
      1  0.30754669E+03    2  0.23211049E+03    3  0.52062089E+03
      4 -0.37443345E+03    5  0.71221299E+00    6  0.18919369E+03
      7 -0.16338768E+03

  ABSOLUTE PSEUDORANK TOLERANCE, TAU =    1.541    
  PSEUDORANK =     5

  ESTIMATED PARAMETERS, X=A**(+)*B, COMPUTED BY 'SVDRS'
      1 -0.24241813E+00    2 -0.26153378E+00    3 -0.23089060E+00
      4 -0.19896718E+00    5 -0.16836880E+00    6  0.36350246E+00
      7  0.39414832E+00    8  0.50774830E+00

  RESIDUAL VECTOR LENGTH =   0.2500E+03

  FROBENIUS NORM(A-U*(S,0)**T*V**T)
  ---------------------------------  =   0.4994E-15
    SQRT(N) * SPECTRAL NORM OF A





    M   N
    8   6

  SINGULAR VALUES OF MATRIX
      1  0.14502853E+04    2  0.11973116E+04    3  0.75880599E+03
      4  0.12880866E+03    5  0.50262658E-01    6  0.37848121E-01

  TRANSFORMED RIGHT SIDE, U**T*B
      1  0.35257667E+03    2 -0.10792230E+03    3 -0.25536710E+03
      4 -0.39231286E+03    5 -0.41524748E+03    6 -0.58441839E+02
      7 -0.18157871E+02    8 -0.32396363E+03

  ABSOLUTE PSEUDORANK TOLERANCE, TAU =    1.450    
  PSEUDORANK =     4

  ESTIMATED PARAMETERS, X=A**(+)*B, COMPUTED BY 'SVDRS'
      1 -0.14369890E+01    2  0.10621096E+01    3 -0.12508145E+01
      4  0.12510764E+01    5 -0.11876320E+01    6  0.13128499E+01

  RESIDUAL VECTOR LENGTH =   0.5302E+03

  FROBENIUS NORM(A-U*(S,0)**T*V**T)
  ---------------------------------  =   0.5358E-15
    SQRT(N) * SPECTRAL NORM OF A





    M   N
    8   7

  SINGULAR VALUES OF MATRIX
      1  0.12723999E+04    2  0.11051183E+04    3  0.93046253E+03
      4  0.74330027E+03    5  0.53520944E+03    6  0.34904203E+03
      7  0.10290961E+03

  TRANSFORMED RIGHT SIDE, U**T*B
      1 -0.86688973E+02    2 -0.32254891E+03    3 -0.47575533E+03
      4 -0.12049023E+03    5  0.49786680E+03    6 -0.46651057E+03
      7  0.47251653E+02    8 -0.10805757E+00

  ABSOLUTE PSEUDORANK TOLERANCE, TAU =    1.272    
  PSEUDORANK =     7

  ESTIMATED PARAMETERS, X=A**(+)*B, COMPUTED BY 'SVDRS'
      1  0.99994647E+00    2 -0.60015858E+00    3  0.60012136E+00
      4  0.39982819E+00    5  0.60015778E+00    6 -0.26208962E-05
      7  0.99988323E+00

  RESIDUAL VECTOR LENGTH =   0.1081E+00

  FROBENIUS NORM(A-U*(S,0)**T*V**T)
  ---------------------------------  =   0.8178E-15
    SQRT(N) * SPECTRAL NORM OF A





    M   N
    8   8

  SINGULAR VALUES OF MATRIX
      1  0.15846591E+04    2  0.12794248E+04    3  0.91705023E+03
      4  0.78007027E+03    5  0.11033481E+03    6  0.57707797E-01
      7  0.38431389E-01    8  0.44261253E-02

  TRANSFORMED RIGHT SIDE, U**T*B
      1 -0.10882689E+02    2 -0.20165650E+03    3 -0.39322860E+03
      4  0.28529866E+03    5 -0.20382336E+03    6  0.57000768E+02
      7  0.19498182E+03    8  0.22918241E+03

  ABSOLUTE PSEUDORANK TOLERANCE, TAU =    1.585    
  PSEUDORANK =     5

  ESTIMATED PARAMETERS, X=A**(+)*B, COMPUTED BY 'SVDRS'
      1  0.10059722E+01    2 -0.25608774E+00    3  0.10059923E+01
      4 -0.25623068E+00    5  0.63103392E+00    6 -0.63101794E+00
      7  0.56823118E+00    8 -0.69324506E+00

  RESIDUAL VECTOR LENGTH =   0.3063E+03

  FROBENIUS NORM(A-U*(S,0)**T*V**T)
  ---------------------------------  =   0.4870E-15
    SQRT(N) * SPECTRAL NORM OF A
 
LAWSON_PRB3:
  Normal end of execution.
 
19 October   2008   6:55:33.159 PM