test_simeq_hilbert.c err is the maximum error multiplying the solution, X, times matrix A*X=Y initialization of Hilbert Matrix A[3][3] A[0][0] = 0.500000 A[0][1] = 0.333333 A[0][2] = 0.250000 Y[0] = 1.916667 A[1][0] = 0.333333 A[1][1] = 0.250000 A[1][2] = 0.200000 Y[1] = 1.433333 A[2][0] = 0.250000 A[2][1] = 0.200000 A[2][2] = 0.166667 Y[2] = 1.150000 solution X[0]=1, err=0 solution X[1]=2, err=-1.11022e-16 solution X[2]=3, err=5.55112e-17 initialization of Hilbert Matrix A[7][7] solution X[0]=1, err=2.22045e-15 solution X[1]=2, err=7.77156e-16 solution X[2]=3, err=7.77156e-16 solution X[3]=4, err=9.99201e-16 solution X[4]=5, err=-2.22045e-16 initialization of Hilbert Matrix A[11][11] solution X[0]=1, err=2.09832e-14 solution X[1]=2.00001, err=1.63203e-14 solution X[2]=2.99992, err=1.4766e-14 solution X[3]=4.00064, err=1.22125e-14 solution X[4]=4.99724, err=1.13243e-14 initialization of Hilbert Matrix A[15][15] solution X[0]=0.99999, err=1.59461e-12 solution X[1]=2.00074, err=1.3608e-12 solution X[2]=2.9825, err=1.18716e-12 solution X[3]=4.19684, err=1.05194e-12 solution X[4]=3.78049, err=9.4591e-13 initialization of Hilbert Matrix A[19][19] solution X[0]=0.999938, err=5.92566e-11 solution X[1]=2.00477, err=5.14171e-11 solution X[2]=2.88086, err=4.53237e-11 solution X[3]=5.42616, err=4.04665e-11 solution X[4]=-4.56059, err=3.65028e-11 initialization of Hilbert Matrix A[23][23] solution X[0]=0.998833, err=-3.84129e-09 solution X[1]=2.09131, err=-3.43017e-09 solution X[2]=0.688566, err=-3.09921e-09 solution X[3]=31.6919, err=-2.82694e-09 solution X[4]=-177.814, err=-2.59884e-09 initialization of Hilbert Matrix A[27][27] solution X[0]=1.00024, err=-1.21661e-08 solution X[1]=1.98008, err=-1.08572e-08 solution X[2]=3.53544, err=-9.80159e-09 solution X[3]=-2.75246, err=-8.93201e-09 solution X[4]=51.3977, err=-8.20328e-09 initialization of Hilbert Matrix A[31][31] solution X[0]=0.999955, err=6.58697e-08 solution X[1]=2.00333, err=5.94869e-08 solution X[2]=2.92114, err=5.42337e-08 solution X[3]=4.84939, err=4.98342e-08 solution X[4]=0.444291, err=4.60956e-08 initialization of Hilbert Matrix A[35][35] solution X[0]=1.00014, err=2.75698e-07 solution X[1]=1.98882, err=2.54509e-07 solution X[2]=3.2964, err=2.36311e-07 solution X[3]=0.251891, err=2.20526e-07 solution X[4]=31.234, err=2.06708e-07 initialization of Hilbert Matrix A[39][39] solution X[0]=1.0003, err=-3.24443e-07 solution X[1]=1.97502, err=-2.95547e-07 solution X[2]=3.66807, err=-2.7159e-07 solution X[3]=-4.51871, err=-2.51359e-07 solution X[4]=65.3096, err=-2.34022e-07 initialization of Hilbert Matrix A[43][43] solution X[0]=1.00052, err=3.70324e-06 solution X[1]=1.95532, err=3.31451e-06 solution X[2]=4.22708, err=2.99745e-06 solution X[3]=-11.7691, err=2.73424e-06 solution X[4]=115.845, err=2.51245e-06 initialization of Hilbert Matrix A[47][47] solution X[0]=0.999603, err=2.79105e-06 solution X[1]=2.03347, err=2.54975e-06 solution X[2]=2.10884, err=2.34666e-06 solution X[3]=14.8523, err=2.17352e-06 solution X[4]=-63.442, err=2.02423e-06 initialization of Hilbert Matrix A[51][51] solution X[0]=1.0001, err=5.40717e-06 solution X[1]=1.99333, err=4.93753e-06 solution X[2]=3.14957, err=4.54363e-06 solution X[3]=2.40577, err=4.20846e-06 solution X[4]=14.838, err=3.91974e-06 initialization of Hilbert Matrix A[55][55] solution X[0]=1.00021, err=-1.67392e-06 solution X[1]=1.98274, err=-1.56886e-06 solution X[2]=3.4637, err=-1.47492e-06 solution X[3]=-1.96356, err=-1.39079e-06 solution X[4]=47.9469, err=-1.3152e-06 initialization of Hilbert Matrix A[59][59] solution X[0]=1.00023, err=-2.52199e-05 solution X[1]=1.97864, err=-2.34036e-05 solution X[2]=3.64094, err=-2.18277e-05 solution X[3]=-5.11885, err=-2.04488e-05 solution X[4]=75.8951, err=-1.92326e-05 initialization of Hilbert Matrix A[63][63] solution X[0]=0.995652, err=-0.000504838 solution X[1]=2.33835, err=-0.000460421 solution X[2]=-5.40998, err=-0.000423357 solution X[3]=100.802, err=-0.000391927 solution X[4]=-585.437, err=-0.000364917 initialization of Hilbert Matrix A[67][67] solution X[0]=0.988711, err=-0.00295411 solution X[1]=2.91036, err=-0.00269374 solution X[2]=-20.499, err=-0.00247456 solution X[3]=284.877, err=-0.00228766 solution X[4]=-1765.11, err=-0.00212651 initialization of Hilbert Matrix A[71][71] solution X[0]=1.00225, err=-0.000224217 solution X[1]=1.80605, err=-0.000197083 solution X[2]=8.38696, err=-0.000175724 solution X[3]=-66.6668, err=-0.000158485 solution X[4]=515.294, err=-0.000144288 initialization of Hilbert Matrix A[75][75] solution X[0]=1.00046, err=0.000540763 solution X[1]=1.96848, err=0.000495471 solution X[2]=3.64057, err=0.000457243 solution X[3]=-0.998705, err=0.000424534 solution X[4]=13.2433, err=0.000396223 initialization of Hilbert Matrix A[79][79] solution X[0]=0.998998, err=-0.000302917 solution X[1]=2.07812, err=-0.00027808 solution X[2]=1.04969, err=-0.000256937 solution X[3]=26.5937, err=-0.000238738 solution X[4]=-133.905, err=-0.00022292 initialization of Hilbert Matrix A[83][83] solution X[0]=1.00019, err=-0.000683997 solution X[1]=1.97366, err=-0.000617284 solution X[2]=3.99044, err=-0.000562342 solution X[3]=-12.156, err=-0.000516312 solution X[4]=142.032, err=-0.000477194 initialization of Hilbert Matrix A[87][87] solution X[0]=0.998093, err=0.00181169 solution X[1]=2.15081, err=0.00164504 solution X[2]=-0.803276, err=0.00150622 solution X[3]=48.0954, err=0.00138882 solution X[4]=-260.378, err=0.00128827 initialization of Hilbert Matrix A[91][91] solution X[0]=1.00273, err=0.00341775 solution X[1]=1.79906, err=0.00330501 solution X[2]=7.82472, err=0.00318601 solution X[3]=-49.7781, err=0.00306679 solution X[4]=308.171, err=0.00295061 initialization of Hilbert Matrix A[95][95] solution X[0]=1.00359, err=-0.0113808 solution X[1]=1.68676, err=-0.0104438 solution X[2]=12.3569, err=-0.00965328 solution X[3]=-134.295, err=-0.00897646 solution X[4]=1171.48, err=-0.00839001 initialization of Hilbert Matrix A[99][99] solution X[0]=0.999537, err=-0.00157491 solution X[1]=2.04273, err=-0.00145119 solution X[2]=1.74402, err=-0.00134553 solution X[3]=21.181, err=-0.00125425 solution X[4]=-121.26, err=-0.00117462 test_simeq_hilbert.c finished