📄 matrixtest.ref.win32
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0.488 1.345 3.000 0.831 -0.320 -0.009 6.205 -0.948 4.000 1.920 ATA Matrix(5,5) : 6.026 6.322 6.101 22.711 -2.183 6.322 46.120 3.602 48.170 9.461 6.101 3.602 18.569 17.404 -4.586 22.711 48.170 17.404 103.080 -0.379 -2.183 9.461 -4.586 -0.379 4.495Condition number is 137.365/1.293e-015 = 106202104225911090.000Inverse matrix (5,5) : 686923185092960.750 -185078003269321.030 76822579209497.562 -74907511829194.109 795338110082996.750 -185078003269321.090 49865644423582.211 -20698339893957.059 20182362482558.527 -214288282201800.440 76822579209497.594 -20698339893957.062 8591511837820.998 -8377338814245.507 88947245174023.641 -74907511829194.094 20182362482558.516 -8377338814245.501 8168504790942.121 -86729928734589.344 795338110082997.000 -214288282201800.440 88947245174023.625 -86729928734589.391 920863821570964.000Unity matrix (5,5) ? : 2.500000000 1.000000000 1.500000000 6.937500000 0.000000000 -0.250000000 1.250000000 -0.250000000 -1.109375000 -0.125000000 0.000000000 0.125000000 1.125000000 0.347656250 0.062500000 -0.062500000 0.000000000 -0.062500000 0.683593750 0.000000000 0.500000000 0.000000000 1.500000000 4.750000000 1.000000000File data/ut.dat (0) Matrix(4,4) : 1.834 2.837 3.223 4.808 0.000 5.837 6.774 7.083 0.000 0.000 8.237 9.118 0.000 0.000 0.000 10.838Condition number is 19.305/4.345e+000 = 4.443Inverse matrix (4,4) : 0.545 -0.265 0.005 -0.073 0.000 0.171 -0.141 0.007 0.000 0.000 0.121 -0.102 0.000 0.000 0.000 0.092Unity matrix (4,4) ? : 1.000000000 0.000000000 0.000000000 0.000000000 0.000000000 1.000000000 0.000000000 0.000000000 0.000000000 0.000000000 1.000000000 0.000000000 0.000000000 0.000000000 0.000000000 1.000000000 -------------- Matrix Test 4 ---------------------------------Matrix A(7,7) : 8.317 0.212 5.740 4.317 -1.109 0.174 1.960 6.212 3.292 1.574 1.028 7.438 5.408 6.592 2.574 1.574 1.911 1.039 7.236 -9.503 9.440 5.317 1.028 1.390 7.126 6.783 -6.527 4.428 2.080 3.370 8.544 4.512 0.356 -6.589 -4.531 -9.133 -2.077 8.930 8.538 -9.509 -6.375 5.084 -2.755 -2.739 9.216 5.226 -0.109 -7.239 4.296Vector b(7) : 14.289 9.284 -1.128 8.389 -6.929 4.664 7.590Now solve using SVDSingular Values (7) : 26.619 21.861 12.423 10.365 5.533 4.560 3.420Matrix U(7,7) : 0.203 0.207 -0.573 0.370 -0.368 0.556 0.073 -0.006 0.525 -0.066 0.603 0.476 -0.355 0.063 0.369 0.447 0.525 -0.221 0.127 0.419 0.384 0.335 0.434 0.016 -0.184 -0.601 -0.518 -0.191 0.342 0.002 -0.603 -0.511 0.401 -0.176 0.260 0.578 -0.536 0.153 0.393 -0.100 -0.230 0.371 0.509 -0.079 0.068 0.037 0.301 0.190 -0.776Matrix V(7,7) : -0.060 0.620 -0.530 0.050 -0.371 0.430 0.078 -0.019 0.195 -0.163 -0.107 0.326 -0.342 0.837 0.567 -0.092 -0.445 0.181 0.605 0.198 -0.184 0.480 0.001 -0.236 0.186 -0.492 -0.655 -0.088 -0.029 0.684 0.191 -0.260 0.335 -0.357 -0.432 -0.575 -0.011 -0.245 0.697 0.188 -0.258 -0.148 0.334 0.318 0.585 0.605 -0.015 0.188 0.208Difference (7,7) : 0.000e+000 0.000e+000 0.000e+000 0.000e+000 0.000e+000 0.000e+000 0.000e+000 0.000e+000 0.000e+000 0.000e+000 0.000e+000 0.000e+000 0.000e+000 0.000e+000 0.000e+000 0.000e+000 0.000e+000 0.000e+000 0.000e+000 0.000e+000 0.000e+000 0.000e+000 0.000e+000 0.000e+000 0.000e+000 0.000e+000 0.000e+000 0.000e+000 0.000e+000 0.000e+000 0.000e+000 0.000e+000 0.000e+000 0.000e+000 0.000e+000 0.000e+000 0.000e+000 0.000e+000 0.000e+000 0.000e+000 0.000e+000 0.000e+000 0.000e+000 0.000e+000 0.000e+000 0.000e+000 0.000e+000 0.000e+000 0.000e+000Determinant of A = 6.466e+006 -- Compare to 6.466e+006Solution via backsubstitution (7) : 0.898 -2.119 0.214 1.096 0.064 0.849 0.631Solution residuals (7) : 7.105e-015 -8.882e-015 1.998e-015 -1.776e-015 1.776e-015 2.043e-014 1.599e-014Sort in ascending orderSingular Values (7) : 3.420 4.560 5.533 10.365 12.423 21.861 26.619Matrix U(7,7) : 0.073 0.556 -0.368 0.370 -0.573 0.207 0.203 0.063 -0.355 0.476 0.603 -0.066 0.525 -0.006 0.384 0.419 0.127 -0.221 0.525 0.447 0.369 -0.191 -0.518 -0.601 -0.184 0.016 0.434 0.335 0.260 -0.176 0.401 -0.511 -0.603 0.002 0.342 0.371 -0.230 -0.100 0.393 0.153 -0.536 0.578 -0.776 0.190 0.301 0.037 0.068 -0.079 0.509Matrix V(7,7) : 0.078 0.430 -0.371 0.050 -0.530 0.620 -0.060 0.837 -0.342 0.326 -0.107 -0.163 0.195 -0.019 -0.184 0.198 0.605 0.181 -0.445 -0.092 0.567 -0.088 -0.655 -0.492 0.186 -0.236 0.001 0.480 -0.432 -0.357 0.335 -0.260 0.191 0.684 -0.029 -0.148 -0.258 0.188 0.697 -0.245 -0.011 -0.575 0.208 0.188 -0.015 0.605 0.585 0.318 0.334Now reduce A by one column and repeatMatrix A(7,6) : 8.317 0.212 5.740 4.317 -1.109 0.174 6.212 3.292 1.574 1.028 7.438 5.408 2.574 1.574 1.911 1.039 7.236 -9.503 5.317 1.028 1.390 7.126 6.783 -6.527 2.080 3.370 8.544 4.512 0.356 -6.589 -9.133 -2.077 8.930 8.538 -9.509 -6.375 -2.755 -2.739 9.216 5.226 -0.109 -7.239Singular Values (6) : 25.574 20.763 11.481 5.543 5.272 3.877Matrix U(7,7) : -0.167 0.282 -0.672 0.423 0.354 -0.255 -0.267 0.161 0.441 -0.395 -0.571 -0.474 0.086 -0.258 -0.216 0.433 0.570 -0.092 0.286 -0.014 -0.593 -0.238 0.512 0.172 0.530 -0.521 0.124 0.289 -0.416 0.238 -0.140 -0.311 0.430 0.530 0.434 -0.643 -0.468 -0.131 0.041 -0.323 0.287 -0.402 -0.506 0.020 0.053 -0.328 -0.088 -0.741 0.277Matrix V(6,6) : 0.164 0.657 -0.427 0.440 0.391 -0.114 0.048 0.214 -0.062 -0.293 0.150 0.916 -0.603 0.091 -0.437 -0.581 0.207 -0.239 -0.488 0.142 -0.257 0.388 -0.692 0.212 0.165 0.679 0.373 -0.406 -0.406 -0.205 0.585 -0.181 -0.646 -0.259 -0.371 -0.054Difference (7,6) : 0.000e+000 0.000e+000 0.000e+000 0.000e+000 0.000e+000 0.000e+000 0.000e+000 0.000e+000 0.000e+000 0.000e+000 0.000e+000 0.000e+000 0.000e+000 0.000e+000 0.000e+000 0.000e+000 0.000e+000 0.000e+000 0.000e+000 0.000e+000 0.000e+000 0.000e+000 0.000e+000 0.000e+000 0.000e+000 0.000e+000 0.000e+000 0.000e+000 0.000e+000 0.000e+000 0.000e+000 0.000e+000 0.000e+000 0.000e+000 0.000e+000 0.000e+000 0.000e+000 0.000e+000 0.000e+000 0.000e+000 0.000e+000 0.000e+000 -------------- Matrix Test 5 ---------------------------------Matrix A(7,7) : 8.317 0.212 5.740 4.317 -1.109 0.174 1.960 6.212 3.292 1⌨️ 快捷键说明
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