📄 matrixtest.ref
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Unity matrix (10,10) ? : 0.999999994 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 1.000000417 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.999992379 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 1.000061328 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.999736980 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.001357038 0.001071131 0.000000000 0.000000000 0.000000000 1.000619418 0.000000000 0.000000000 0.000000000 0.000000000 -0.002263509 -0.001870874 -0.001568587 -0.001344139 -0.001220252 -0.001069790 0.999023438 0.000000000 0.000000000 0.000000000 0.002188697 0.001777221 0.001475800 0.001289524 0.001170693 0.001008509 0.000000000 1.000865851 0.000000000 0.000000000 -0.001179863 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.999576132 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 1.000087657Tough matrix (11,11) : 1.000000 0.500000 0.333333 0.250000 0.200000 0.166667 0.142857 0.125000 0.111111 0.100000 0.090909 0.500000 0.333333 0.250000 0.200000 0.166667 0.142857 0.125000 0.111111 0.100000 0.090909 0.083333 0.333333 0.250000 0.200000 0.166667 0.142857 0.125000 0.111111 0.100000 0.090909 0.083333 0.076923 0.250000 0.200000 0.166667 0.142857 0.125000 0.111111 0.100000 0.090909 0.083333 0.076923 0.071429 0.200000 0.166667 0.142857 0.125000 0.111111 0.100000 0.090909 0.083333 0.076923 0.071429 0.066667 0.166667 0.142857 0.125000 0.111111 0.100000 0.090909 0.083333 0.076923 0.071429 0.066667 0.062500 0.142857 0.125000 0.111111 0.100000 0.090909 0.083333 0.076923 0.071429 0.066667 0.062500 0.058824 0.125000 0.111111 0.100000 0.090909 0.083333 0.076923 0.071429 0.066667 0.062500 0.058824 0.055556 0.111111 0.100000 0.090909 0.083333 0.076923 0.071429 0.066667 0.062500 0.058824 0.055556 0.052632 0.100000 0.090909 0.083333 0.076923 0.071429 0.066667 0.062500 0.058824 0.055556 0.052632 0.050000 0.090909 0.083333 0.076923 0.071429 0.066667 0.062500 0.058824 0.055556 0.052632 0.050000 0.047619Condition number for 11 is 1.775/3.397e-15 = 5.225e+14Inverse matrix (11,11) : 120.918 -7251.341 141344.583 -1318791.866 6921826.357 -22144939.426 44808703.507 -57601856.145 45595041.343 -20261954.393 3867767.409 -7251.348 579891.018 -12717640.876 126581398.196 -692108018.626 2277654610.002 -4704922045.778 6144474303.965 -4924670946.271 2210650350.983 -425515965.581 141344.934 -12717658.088 297531117.436 -3084989021.460 17350658603.300 -58291436492.874 122327946926.697 -161758673696.484 130959653525.738 -59278277722.593 11490201535.659 -1318797.410 126581759.837 -3084993411.181 32902828534.750 -188916342274.916 644783194472.133 -1370071435650.341 1830044050807.565 -1493983210227.210 680987431589.465 -132787265627.683 6921867.875 -692111062.005 17350707817.054 -188916600130.934 1101948977483.511 -3808147548039.201 8173708734626.625 -11009082749499.889 9050447121298.596 -4149999949071.226 813379637981.481 -22145111.836 2277668078.169 -58291681340.856 644784904102.342 -3808152332345.138 13293590594832.832 -28771404248627.789 39023609170449.961 -32272354633896.629 14874289078793.883 -2928338448240.569 44809130.132 -4704956734.846 122328619234.697 -1370076714550.041 8173728425085.154 -28771436854136.574 62706793930523.758 -85558885972179.516 71120637944732.594 -32926140761280.770 6507740042864.710 -57602500.227 6144528136.988 -161759760003.480 1830053145837.583 -11009120904374.123 39023693393025.688 -85558972572396.781 117339252834663.797 -97974567403313.016 45536822449054.438 -9031530012227.531 45595622.992 -4924720547.559 130960682635.824 -1493992182729.389 9050487262249.521 -32272454297850.828 71120774560686.375 -97974655585559.828 82127370348982.031 -38304205135179.438 7620630798625.215 -20262242.995 2210675341.397 -59278806840.369 680992175413.726 -4150022051778.698 14874347605726.658 -32926231004636.465 45536900107163.156 -38304235752591.375 17920543158322.527 -3575224279567.974 3867827.911 -425521267.942 11490315550.758 -132788308901.706 813384636892.569 -2928352234768.504 6507762715101.809 -9031551959366.578 7620642334859.467 -3575226818826.558 715064844882.424Unity matrix (11,11) ? : 0.999999941 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 1.000005304 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.999883013 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.001940826 0.001595158 0.001339272 1.001178451 0.001063279 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 -0.011741668 -0.009662576 -0.008326065 -0.007290386 0.993537150 -0.005775452 -0.005282000 -0.004847173 -0.004503720 -0.004178651 -0.003919300 0.042323261 0.034457713 0.029589549 0.025873080 0.023084164 1.020477295 0.018944830 0.017346412 0.016031891 0.014731869 0.014166445 -0.092712641 -0.076385081 -0.065326780 -0.056910574 -0.050591946 -0.045227051 0.958620042 -0.037678748 -0.035547912 -0.032245129 -0.031267196 0.125410020 0.103069127 0.087852061 0.076922655 0.068196833 0.060913086 0.055786312 1.051216006 0.047547072 0.043395340 0.041414440 -0.107213974 -0.088007271 -0.074871659 -0.066078961 -0.058702528 -0.052246094 -0.047943950 -0.043717891 0.959495366 -0.037332356 -0.035528064 0.049251884 0.040930450 0.034859270 0.030483797 0.027265683 0.024078369 0.022140726 0.020156011 0.018775538 1.017171472 0.016579047 -0.009847745 -0.008182019 -0.006872792 -0.006067116 -0.005423635 -0.004844666 -0.004439995 -0.004027981 -0.003775425 -0.003451079 0.996716926Tough matrix (12,12) : 1.000000 0.500000 0.333333 0.250000 0.200000 0.166667 0.142857 0.125000 0.111111 0.100000 0.090909 0.083333 0.500000 0.333333 0.250000 0.200000 0.166667 0.142857 0.125000 0.111111 0.100000 0.090909 0.083333 0.076923 0.333333 0.250000 0.200000 0.166667 0.142857 0.125000 0.111111 0.100000 0.090909 0.083333 0.076923 0.071429 0.250000 0.200000 0.166667 0.142857 0.125000 0.111111 0.100000 0.090909 0.083333 0.076923 0.071429 0.066667 0.200000 0.166667 0.142857 0.125000 0.111111 0.100000 0.090909 0.083333 0.076923 0.071429 0.066667 0.062500 0.166667 0.142857 0.125000 0.111111 0.100000 0.090909 0.083333 0.076923 0.071429 0.066667 0.062500 0.058824 0.142857 0.125000 0.111111 0.100000 0.090909 0.083333 0.076923 0.071429 0.066667 0.062500 0.058824 0.055556 0.125000 0.111111 0.100000 0.090909 0.083333 0.076923 0.071429 0.066667 0.062500 0.058824 0.055556 0.052632 0.111111 0.100000 0.090909 0.083333 0.076923 0.071429 0.066667 0.062500 0.058824 0.055556 0.052632 0.050000 0.100000 0.090909 0.083333 0.076923 0.071429 0.066667 0.062500 0.058824 0.055556 0.052632 0.050000 0.047619 0.090909 0.083333 0.076923 0.071429 0.066667 0.062500 0.058824 0.055556 0.052632 0.050000 0.047619 0.045455 0.083333 0.076923 0.071429 0.066667 0.062500 0.058824 0.055556 0.052632 0.050000 0.047619 0.045455 0.043478Condition number for 12 is 1.795/1.093e-16 = 1.642e+16Inverse matrix (12,12) : 142.354 -10088.406 233736.342 -2614367.646 16651471.989 -65781668.595 168561107.846 -285083498.955 315916371.354 -220621290.980 88063716.362 -15315642.608 -10088.847 955426.263 -24947304.281 298073487.260 -1979996601.688 8053738079.627 -21085714800.679 36255643992.605 -40706421675.201 28731708965.391 -11570320771.342 2027292874.123 233761.707 -24948762.982 695848712.893 -8670450721.644 59296922096.191 -246417274674.997 655846962589.952 -1142473212554.553 1296363838368.686 -923063645013.402 374474177872.780 -66028507584.869 -2614845.018 298110085.703 -8670976926.313 111233028700.413 -777168378000.420 3283049349023.791 -8852112049717.578 15583529484537.090 -17837545832749.488 12794664751735.895 -5223254097130.730 925980069936.351 16655793.902 -1980369321.202 59304066615.182 -777213179126.735 5519997948030.292 -23622765025341.727 64367346537851.984 -114304215569529.703 131798275661232.734 -95129403951987.906 39045175498725.500 -6954545069586.677 -65803767.705 8055770752.630 -246461105401.198 3283415793680.815 -23624008656470.262 102166216422502.531 -280811402098816.625 502323478544647.625 -582821556478676.125 422935587220813.062 -174405788979085.281 31192561879079.137 168630210.300 -21092335141.844 655999225389.405 -8853544091313.152 64373826335674.391 -280824650774818.062 777521855408352.125 -1399531776918777.250 1632542892031418.750 -1190235950339551.750 492837947108350.875 -88465772208497.156 -285220527.104 36269146123.152 -1142796673997.592 15586774345406.561 -114320732944682.547 502368506270653.188 -1399590425497179.500 2532791584553459.500 -2968308537318211.500 2172998277192629.750 -903043454257745.000 162625010934873.875 316089386.121 -40723823956.347 1296792626066.416 -17842026372422.047 131822602893999.281 -582896162713016.875 1632672455888569.250 -2968418617461370.500 3493137682709986.000 -2566509298111183.500 1070034943884840.000 -193258204501938.969 -220756057.476 28745478637.368 -923409981910.424 12798387031532.287 -95150455814569.000 423004451481677.438 -1190370489520804.250 2173150685031871.500 -2566593468180949.000 1891862023422386.000 -791051784646344.250 143245722755521.688 88122744.546 -11576427072.274 374630197475.406 -5224965821104.649 39055132793973.523 -174439717646845.094 492908651258266.375 -903133559766430.000 1070101293216320.875 -791074749471304.500 331641842399038.438 -60197151021005.555 -15326763.747 2028454903.950 -66058568445.945 926315101899.385 -6956534558358.752 31199534491455.625 -88480907736441.922 162645585407321.344 -193275248168167.594 143253588238711.625 -60198701034422.289 10950429349418.393Unity matrix (12,12) ? : 0.999999577 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 1.000045652 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 -0.001750005 -0.001463512 0.998740867 -0.001107600 -0.001000881 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.024013050 0.019998834 0.017315052 1.015230466 0.013839722 0.012283467 0.011265758 0.010376886 0.009575933 0.008870538 0.008435812 0.007886350 -0.177824259 -0.149443746 -0.128486305 -0.112591237 0.898498535 -0.091503978 -0.083352566 -0.077083141 -0.071589112 -0.065821111 -0.062686324 -0.058216482 0.792173386 0.653040409 0.561748505 0.496374130 0.450195312 1.401743889 0.369505525 0.339045882 0.315320969 0.289863586 0.274386883 0.258178234 -2.176348686 -1.813328266 -1.563265324 -1.379019737 -1.234375000 -1.118494034 -0.017631054 -0.930971146 -0.868800163 -0.809755087 -0.761697292 -0.714970589 3.954977036 3.312744141 2.822178841 2.515995026 2.246093750 2.032036781 1.859307289 2.697098732 1.602404594 1.473575115 1.392161846 1.303132534 -4.683350563 -3.920145988 -3.375349998 -2.983154297 -2.695312500 -2.418499947 -2.208822250 -2.014443398 -0.876708031 -1.720285416 -1.656760216 -1.535560131 3.462227821 2.876663208 2.471529961 2.178773880 1.958984375 1.766427040 1.621628761 1.485858440 1.379694462 2.279197216 1.209697723 1.131748199 -1.431362152 -1.196696281 -1.023966074 -0.911272526 -0.814941406 -0.731913090 -0.672503233 -0.615084171 -0.573799849 -0.528998137 0.495307684 -0.469781399 0.260366023 0.216768503 0.186427712 0.164719701 0.147338867 0.133693933 0.122063696 0.111501753 0.104717880 0.096656561 0.091316849 1.086019814 -------------- Matrix Test 3 ---------------------------------Read and print matrix from fileFile ./data/anotsym.dat (0) Matrix(4,4) : 5.000 1.450 1.320 -1.100 0.450 4.200 1.210 1.110 0.320 0.210 3.300 1.900 -0.100 0.110 0.900 6.600Condition number is 2.507/7.390e+00 = 0.339Inverse matrix (4,4) : 0.213 -0.071 -0.078 0.070 -0.018 0.249 -0.078 -0.022 -0.023 -0.006 0.342 -0.101 0.007 -0.004 -0.047 0.167Unity 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 1.000000000File ./data/cov.dat (0) Matrix(15,15) : 21.300 10.100 -21.300 7.800 3.700 -7.800 7.800 3.700 -7.800 7.800 3.700 -7.800 7.800 3.700 -7.800 10.100 4.900 -10.100 3.700 1.780 -3.700 3.700 1.780 -3.700 3.700 1.780 -3.700 3.700 1.780 -3.700 -21.300 -10.100 0.117 -7.800 -3.700 0.043 -7.800 -3.700 0.043 -7.800 -3.700 0.043 -7.800 -3.700 0.043 7.800 3.700 -7.800 15.300 7.320 -15.300 7.800 3.700 -7.800 7.800 3.700 -7.800 7.800 3.700 -7.800 3.700 1.780 -3.700 7.320 3.550 -7.320 3.700 1.780 -3.700 3.700 1.780 -3.700 3.700 1.780 -3.700 -7.800 -3.700 0.043 -15.300 -7.320 0.085 -7.800 -3.700 0.043 -7.800 -3.700 0.043 -7.800 -3.700 0.043 7.800 3.700 -7.800 7.800 3.700 -7.800 39.500 18.900 -39.500 7.800 3.700 -7.800 7.800 3.700 -7.800 3.700 1.780 -3.700 3.700 1.780 -3.700 18.900 9.130 -18.900 3.700 1.780 -3.700 3.700 1.780 -3.700 -7.800 -3.700 0.043 -7.800 -3.700 0.043 -39.500 -18.900 0.218 -7.800 -3.700 0.043 -7.800 -3.700 0.043 7.800 3.700 -7.800 7.800 3.700 -7.800 7.800 3.700 -7.800 31.600 15.000 -31.600 7.800 3.700 -7.800 3.700 1.780 -3.700 3.700 1.780 -3.700 3.700 1.780 -3.700 15.000 7.190 -15.000 3.700 1.780 -3.700 -7.800 -3.700 0.043 -7.800 -3.700 0.043 -7.800 -3.700 0.043 -31.600 -15.000 0.172 -7.800 -3.700 0.043 7.800 3.700 -7.800 7.800 3.700 -7.800 7.800 3.700 -7.800 7.800 3.700 -7.800 32.200 15.300 -32.200 3.700 1.780 -3.700 3.700 1.780 -3.700 3.700 1.780 -3.700 3.700 1.780 -3.700 15.300 7.370 -15.300 -7.800 -3.700 0.043 -7.800 -3.700 0.043 -7.800 -3.700 0.043 -7.800 -3.700 0.043 -32.200 -15.300 0.176Condition number is 114.643/4.147e-02 = 2764.407Inverse matrix (15,15) : 2.415 -5.087 -0.062 -0.801 1.671 0.022 -0.291 0.610 0.005 -0.390 0.826 0.007 -0.233 0.493 0.007 -5.087 10.717 0.000 1.652 -3.446 0.000 0.609 -1.276 0.000 0.833 -1.763 0.000 0.496 -1.050 0.000 -0.062 -0.000 -0.062 0.022 0.000 0.022 0.005 0.000 0.005 0.007 0.000 0.007 0.007 0.000 0.007 -0.801 1.652 0.022 7.100 -14.778 -0.094 -1.133 2.348 0.009 -1.516 3.171 0.013 -0.911 1.895 0.012 1.671 -3.446 0.000 -14.778 30.755 0.000 2.339 -4.846 0.000 3.158 -6.607 0.000 1.896 -3.944 0.000 0.022 -0.000 0.022 -0.094 0.000 -0.094 0.009 0.000 0.009 0.013 -0.000 0.013 0.012 0.000 0.012 -0.291 0.609 0.005 -1.133 2.339 0.009 3.316 -6.917 -0.029 -0.556 1.168 0.003 -0.333 0.697 0.003 0.610 -1.276 0.000 2.348 -4.846 0.000 -6.917 14.431 0.000 1.163 -2.444 0.000 0.696 -1.458 0.000 0.005 0.000 0.005 0.009 0.000 0.009 -0.029 -0.000 -0.029 0.003 0.000 0.003 0.003 0.000 0.003 -0.390 0.833 0.007 -1.516 3.158 0.013 -0.556 1.163 0.003 4.268 -8.985 -0.038 -0.450 0.952 0.004 0.826 -1.763 0.000 3.171 -6.607 0.000 1.168 -2.444 0.000 -8.985 18.912 0.000 0.950 -2.010 0.000 0.007 -0.000 0.007 0.013 -0.000 0.013 0.003 -0.000 0.003 -0.038 0.000 -0.038 0.004 -0.000 0.004 -0.233 0.496 0.007 -0.911 1.896 0.012 -0.333 0.696 0.003 -0.450 0.950 0.004 2.735 -5.751 -0.037 0.493 -1.050 0.000 1.895 -3.944 0.000 0.697 -1.458 0.000 0.952 -2.010 0.000 -5.751 12.091 0.000 0.007 0.000 0.007 0.012 0.000 0.012 0.003 0.000 0.003 0.004 -0.000 0.004 -0.037 -0.000 -0.037Unity matrix (15,15) ? : 1.000000000 -0.000000000 0.000000000 -0.000000000 -0.000000000 0.000000000 -0.000000000 -0.000000000 0.000000000 -0.000000000 -0.000000000 0.000000000 -0.000000000 -0.000000000 0.000000000
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