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Re: Inverse matrix problem (with LAPACK maybe....)


From: Minkyung Kersti Son
Subject: Re: Inverse matrix problem (with LAPACK maybe....)
Date: Fri, 19 Aug 2011 03:48:59 -0700 (PDT)

19x19 square complex matrix

A(1,1)/ real part /imaginary part
A(1,2)/ real        /imaginary
.
.
A(1,19)/ ..
A(2,1) / ..
.
.
A(19,19)/ real / imaginary

     1.000000    0.000000
     0.157376   -0.987539
    -0.165522   -0.986206
     0.995348   -0.096349
     0.986746   -0.162273
     0.802929    0.596075
     0.629992   -0.776601
    -0.182941   -0.983124
    -0.434815   -0.900520
    -0.227926   -0.973678
    -0.030833   -0.999524
    -0.748147   -0.663533
     0.718962   -0.695050
     0.777737    0.628590
     0.340350    0.940299
     0.115246    0.993337
     0.484302    0.874901
     0.894510    0.447048
     0.996847   -0.079348
 
     0.157376    0.987539
     1.000000    0.000000
     0.947868   -0.318664
     0.251792    0.967781
     0.315541    0.948912
    -0.462286    0.886731
     0.866070    0.499923
     0.942083   -0.335381
     0.820869   -0.571117
     0.925675   -0.378320
     0.982217   -0.187750
     0.537524   -0.843249
     0.799536    0.600619
    -0.498360    0.866970
    -0.875019    0.484089
    -0.962822    0.270138
    -0.787781    0.615956
    -0.300703    0.953718
     0.235239    0.971938
 
    -0.165522    0.986206
     0.947868    0.318664
     1.000000    0.000000
    -0.069732    0.997566
    -0.003294    0.999995
    -0.720755    0.693190
     0.661611    0.749847
     0.999844   -0.017689
     0.960070   -0.279761
     0.997974   -0.063617
     0.990841    0.135035
     0.778215   -0.627998
     0.566458    0.824090
    -0.748652    0.662963
    -0.983664    0.180015
    -0.998711   -0.050762
    -0.942995    0.332807
    -0.588942    0.808175
    -0.086746    0.996230
 
     0.995348    0.096349
     0.251792   -0.967781
    -0.069732   -0.997566
     1.000000    0.000000
     0.997790   -0.066446
     0.741762    0.670663
     0.701886   -0.712289
    -0.087367   -0.996176
    -0.346028   -0.938224
    -0.133053   -0.991109
     0.065613   -0.997845
    -0.680736   -0.732529
     0.782584   -0.622545
     0.713555    0.700599
     0.248170    0.968716
     0.019004    0.999819
     0.397754    0.917492
     0.847276    0.531153
     0.999854    0.017066
 
     0.986746    0.162273
     0.315541   -0.948912
    -0.003294   -0.999995
     0.997790    0.066446
     1.000000    0.000000
     0.695560    0.718468
     0.747664   -0.664078
    -0.020982   -0.999780
    -0.282922   -0.959143
    -0.066904   -0.997759
     0.131771   -0.991280
    -0.630558   -0.776142
     0.822220   -0.569169
     0.665426    0.746464
     0.183254    0.983066
    -0.047473    0.998873
     0.335911    0.941894
     0.810111    0.586277
     0.996511    0.083465
 
     0.802929   -0.596075
    -0.462286   -0.886731
    -0.720755   -0.693190
     0.741762   -0.670663
     0.695560   -0.718468
     1.000000    0.000000
     0.042926   -0.999078
    -0.732904   -0.680332
    -0.885903   -0.463871
    -0.763394   -0.645933
    -0.620548   -0.784168
    -0.996224   -0.086818
     0.162974   -0.986630
     0.999154    0.041124
     0.833766    0.552119
     0.684638    0.728883
     0.910367    0.413802
     0.984702   -0.174248
     0.753100   -0.657906
 
     0.629992    0.776601
     0.866070   -0.499923
     0.661611   -0.749847
     0.701886    0.712289
     0.747664    0.664078
     0.042926    0.999078
     1.000000    0.000000
     0.648244   -0.761432
     0.425415   -0.904998
     0.612568   -0.790418
     0.756807   -0.653638
     0.043973   -0.999033
     0.992717    0.120471
     0.001804    0.999998
    -0.515819    0.856697
    -0.698822    0.715295
    -0.374342    0.927291
     0.216357    0.976314
     0.689628    0.724164
 
    -0.182941    0.983124
     0.942083    0.335381
     0.999844    0.017689
    -0.087367    0.996176
    -0.020982    0.999780
    -0.732904    0.680332
     0.648244    0.761432
     1.000000    0.000000
     0.964868   -0.262735
     0.998944   -0.045955
     0.988297    0.152541
     0.789201   -0.614135
     0.551793    0.833981
    -0.760261    0.649617
    -0.986694    0.162588
    -0.997657   -0.068420
    -0.948734    0.316075
    -0.603145    0.797631
    -0.104355    0.994540
 
    -0.434815    0.900520
     0.820869    0.571117
     0.960070    0.279761
    -0.346028    0.938224
    -0.282922    0.959143
    -0.885903    0.463871
     0.425415    0.904998
     0.964868    0.262735
     1.000000    0.000000
     0.975922    0.218118
     0.913499    0.406842
     0.922830   -0.385208
     0.313291    0.949657
    -0.904229    0.427047
    -0.994747   -0.102364
    -0.944631   -0.328136
    -0.998447    0.055704
    -0.791521    0.611141
    -0.361989    0.932182
 
    -0.227926    0.973678
     0.925675    0.378320
     0.997974    0.063617
    -0.133053    0.991109
    -0.066904    0.997759
    -0.763394    0.645933
     0.612568    0.790418
     0.998944    0.045955
     0.975922   -0.218118
     1.000000    0.000000
     0.980243    0.197796
     0.816590   -0.577218
     0.512884    0.858458
    -0.789311    0.613993
    -0.993123    0.117073
    -0.993458   -0.114195
    -0.962257    0.272142
    -0.639163    0.769071
    -0.149948    0.988694
 
    -0.030833    0.999524
     0.982217    0.187750
     0.990841   -0.135035
     0.065613    0.997845
     0.131771    0.991280
    -0.620548    0.784168
     0.756807    0.653638
     0.988297   -0.152541
     0.913499   -0.406842
     0.980243   -0.197796
     1.000000    0.000000
     0.686285   -0.727333
     0.672551    0.740051
    -0.652271    0.757986
    -0.950346    0.311196
    -0.996418    0.084564
    -0.889417    0.457096
    -0.474416    0.880301
     0.048574    0.998820
 
    -0.748147    0.663533
     0.537524    0.843249
     0.778215    0.627998
    -0.680736    0.732529
    -0.630558    0.776142
    -0.996224    0.086818
     0.043973    0.999033
     0.789201    0.614135
     0.922830    0.385208
     0.816590    0.577218
     0.686285    0.727333
     1.000000    0.000000
    -0.076701    0.997054
    -0.998952    0.045776
    -0.878551   -0.477649
    -0.745333   -0.666693
    -0.942855   -0.333204
    -0.965856    0.259079
    -0.693138    0.720805
 
     0.718962    0.695050
     0.799536   -0.600619
     0.566458   -0.824090
     0.782584    0.622545
     0.822220    0.569169
     0.162974    0.986630
     0.992717   -0.120471
     0.551793   -0.833981
     0.313291   -0.949657
     0.512884   -0.858458
     0.672551   -0.740051
    -0.076701   -0.997054
     1.000000    0.000000
     0.122262    0.992498
    -0.408855    0.912599
    -0.607561    0.794273
    -0.259904    0.965634
     0.332398    0.943139
     0.771846    0.635810
 
     0.777737   -0.628590
    -0.498360   -0.866970
    -0.748652   -0.662963
     0.713555   -0.700599
     0.665426   -0.746464
     0.999154   -0.041124
     0.001804   -0.999998
    -0.760261   -0.649617
    -0.904229   -0.427047
    -0.789311   -0.613993
    -0.652271   -0.757986
    -0.998952   -0.045776
     0.122262   -0.992498
     1.000000    0.000000
     0.855765    0.517364
     0.714033    0.700112
     0.926614    0.376015
     0.976703   -0.214595
     0.725407   -0.688320
 
     0.340350   -0.940299
    -0.875019   -0.484089
    -0.983664   -0.180015
     0.248170   -0.968716
     0.183254   -0.983066
     0.833766   -0.552119
    -0.515819   -0.856697
    -0.986694   -0.162588
    -0.994747    0.102364
    -0.993123   -0.117073
    -0.950346   -0.311196
    -0.878551    0.477649
    -0.408855   -0.912599
     0.855765   -0.517364
     1.000000    0.000000
     0.973258    0.229716
     0.987500   -0.157616
     0.724805   -0.688954
     0.264666   -0.964340
 
     0.115246   -0.993337
    -0.962822   -0.270138
    -0.998711    0.050762
     0.019004   -0.999819
    -0.047473   -0.998873
     0.684638   -0.728883
    -0.698822   -0.715295
    -0.997657    0.068420
    -0.944631    0.328136
    -0.993458    0.114195
    -0.996418   -0.084564
    -0.745333    0.666693
    -0.607561   -0.794273
     0.714033   -0.700112
     0.973258   -0.229716
     1.000000    0.000000
     0.924885   -0.380246
     0.547158   -0.837029
     0.036064   -0.999350
 
     0.484302   -0.874901
    -0.787781   -0.615956
    -0.942995   -0.332807
     0.397754   -0.917492
     0.335911   -0.941894
     0.910367   -0.413802
    -0.374342   -0.927291
    -0.948734   -0.316075
    -0.998447   -0.055704
    -0.962257   -0.272142
    -0.889417   -0.457096
    -0.942855    0.333204
    -0.259904   -0.965634
     0.926614   -0.376015
     0.987500    0.157616
     0.924885    0.380246
     1.000000    0.000000
     0.824336   -0.566101
     0.413354   -0.910571
 
     0.894510   -0.447048
    -0.300703   -0.953718
    -0.588942   -0.808175
     0.847276   -0.531153
     0.810111   -0.586277
     0.984702    0.174248
     0.216357   -0.976314
    -0.603145   -0.797631
    -0.791521   -0.611141
    -0.639163   -0.769071
    -0.474416   -0.880301
    -0.965856   -0.259079
     0.332398   -0.943139
     0.976703    0.214595
     0.724805    0.688954
     0.547158    0.837029
     0.824336    0.566101
     1.000000    0.000000
     0.856217   -0.516616
 
     0.996847    0.079348
     0.235239   -0.971938
    -0.086746   -0.996230
     0.999854   -0.017066
     0.996511   -0.083465
     0.753100    0.657906
     0.689628   -0.724164
    -0.104355   -0.994540
    -0.361989   -0.932182
    -0.149948   -0.988694
     0.048574   -0.998820
    -0.693138   -0.720805
     0.771846   -0.635810
     0.725407    0.688320
     0.264666    0.964340
     0.036064    0.999350
     0.413354    0.910571
     0.856217    0.516616
     1.000000    0.000000


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