nag_matop_real_modified_cholesky (f01mdc) Example Program Results
Original Matrix A
1 2 3 4 5
1 0.9649 0.1419 0.0357 0.3922 0.0462
2 0.1419 0.4218 0.8491 0.6555 0.0971
3 0.0357 0.8491 0.9340 0.1712 0.8235
4 0.3922 0.6555 0.1712 0.7060 0.6948
5 0.0462 0.0971 0.8235 0.6948 0.3171
Delta: 2.9645e-08
Block Diagonal Matrix D
1 2 3 4 5
1 0.9649 0.0000 0.0000 0.0000 0.0000
2 0.0000 0.9327 0.0000 0.0000 0.0000
3 0.0000 0.0000 0.1387 -0.1338 0.0000
4 0.0000 0.0000 -0.1338 0.1291 0.0000
5 0.0000 0.0000 0.0000 0.0000 0.9891
Eigenvalues of D
1 2 3 4 5
1 2.9645e-08 2.6776e-01 9.3268e-01 9.6490e-01 9.8908e-01
Perturbation Matrix E
1 2 3 4 5
1 0.0000e+00 0.0000e+00 0.0000e+00 5.5511e-17 6.9389e-18
2 0.0000e+00 -5.0121e-01 0.0000e+00 4.8870e-01 -5.1942e-01
3 0.0000e+00 0.0000e+00 0.0000e+00 0.0000e+00 0.0000e+00
4 5.5511e-17 4.8870e-01 0.0000e+00 -4.7651e-01 5.0646e-01
5 6.9389e-18 -5.1942e-01 0.0000e+00 5.0646e-01 -5.3830e-01
Frobenius Norm of E: 1.5160