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