nag_lapackeig_zggsvd (f08vnc) Example Program Results
Number of infinite generalized singular values (k)
2
Number of finite generalized singular values (l)
2
Numerical rank of ( A^H B^H)^H (k+l)
4
Finite generalized singular values
2.0720e+00 1.1058e+00
Unitary matrix U
1 2
1 ( -1.3038e-02, -3.2595e-01) ( -1.4039e-01, -2.6167e-01)
2 ( 4.2764e-01, -6.2582e-01) ( 8.6298e-02, -3.8174e-02)
3 ( -3.2595e-01, 1.6428e-01) ( 3.8163e-01, -1.8219e-01)
4 ( 1.5906e-01, -5.2151e-03) ( -2.8207e-01, 1.9732e-01)
5 ( -1.7210e-01, -1.3038e-02) ( -5.0942e-01, -5.0319e-01)
6 ( -2.6336e-01, -2.4772e-01) ( -1.0861e-01, 2.8474e-01)
3 4
1 ( 2.5177e-01, -7.9789e-01) ( -5.0956e-02, -2.1750e-01)
2 ( -3.2188e-01, 1.6112e-01) ( 1.1979e-01, 1.6319e-01)
3 ( 1.3231e-01, -1.4565e-02) ( -5.0671e-01, 1.8615e-01)
4 ( 2.1598e-01, 1.8813e-01) ( -4.0163e-01, 2.6787e-01)
5 ( 3.6488e-02, 2.0316e-01) ( 1.9271e-01, 1.5574e-01)
6 ( 1.0906e-01, -1.2712e-01) ( -8.8159e-02, 5.6169e-01)
5 6
1 ( -4.5947e-02, 1.4052e-04) ( -5.2773e-02, -2.2492e-01)
2 ( -8.0311e-02, -4.3605e-01) ( -3.8117e-02, -2.1907e-01)
3 ( 5.9714e-02, -5.8974e-01) ( -1.3850e-01, -9.0941e-02)
4 ( -4.6443e-02, 3.0864e-01) ( -3.7354e-01, -5.5148e-01)
5 ( 5.7843e-01, -1.2439e-01) ( -1.8815e-02, -5.5686e-02)
6 ( 1.5763e-02, 4.7130e-02) ( 6.5007e-01, 4.9173e-03)
Unitary matrix V
1 2
1 ( 9.8930e-01, 1.0471e-19) ( -1.1461e-01, 9.0250e-02)
2 ( -1.1461e-01, -9.0250e-02) ( -9.8930e-01, 1.0471e-19)
Unitary matrix Q
1 2
1 ( 7.0711e-01, 0.0000e+00) ( 0.0000e+00, 0.0000e+00)
2 ( 0.0000e+00, 0.0000e+00) ( 7.0711e-01, 0.0000e+00)
3 ( 7.0711e-01, 0.0000e+00) ( 0.0000e+00, 0.0000e+00)
4 ( 0.0000e+00, 0.0000e+00) ( 7.0711e-01, 0.0000e+00)
3 4
1 ( 6.9954e-01, -1.1784e-18) ( 8.1044e-02, -6.3817e-02)
2 ( -8.1044e-02, -6.3817e-02) ( 6.9954e-01, 1.1784e-18)
3 ( -6.9954e-01, 1.1784e-18) ( -8.1044e-02, 6.3817e-02)
4 ( 8.1044e-02, 6.3817e-02) ( -6.9954e-01, -1.1784e-18)
Nonsingular upper triangular matrix R
1 2
1 ( -2.7118e+00, 0.0000e+00) ( -1.4390e+00, -1.0315e+00)
2 ( -1.8583e+00, 0.0000e+00)
3
4
3 4
1 ( -7.6930e-02, 1.3613e+00) ( -2.8137e-01, -3.2425e-02)
2 ( -1.0760e+00, 3.1016e-02) ( 1.3292e+00, 3.6772e-01)
3 ( 3.2537e+00, 0.0000e+00) ( -6.3858e-17, 3.4216e-33)
4 ( -2.1084e+00, 0.0000e+00)
Estimate of reciprocal condition number for R
1.3e-01
Error estimate for the generalized singular values
8.3e-16