Example description

nag_lapackeig_zggsvp (f08vsc) Example Program Results

Numerical rank of ( A^H B^H)^H   (k+l)
    4

 Matrix S
                                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  (  -1.0543e-01,   1.3176e+00)  (  -3.9240e-01,  -1.9504e-01)
 2  (  -9.4529e-01,   1.9279e-01)  (   1.4355e+00,   2.6313e-01)
 3  (   2.9079e+00,   0.0000e+00)  (  -2.3946e-01,   1.8856e-01)
 4                                 (  -1.5759e+00,   0.0000e+00)

 Upper triangular matrix T
                                1                              2
 1  (   1.4142e+00,   0.0000e+00)  (   0.0000e+00,   0.0000e+00)
 2                                 (   1.4142e+00,   0.0000e+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  (   2.4357e-01,  -7.7956e-01)  (  -7.4007e-02,  -2.7823e-01)
 2  (  -3.2035e-01,   1.4475e-01)  (   1.0740e-01,   1.8824e-01)
 3  (   1.7217e-01,  -1.4009e-03)  (  -4.9770e-01,   1.7826e-01)
 4  (   2.5307e-01,   1.9053e-01)  (  -3.7794e-01,   2.6816e-01)
 5  (   3.2057e-02,   1.8358e-01)  (   2.0422e-01,   1.6601e-01)
 6  (   1.4142e-01,  -1.5707e-01)  (  -8.7335e-02,   5.4683e-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  (   1.0000e+00,   0.0000e+00)  (   0.0000e+00,   0.0000e+00)
 2  (   0.0000e+00,   0.0000e+00)  (   1.0000e+00,   0.0000e+00)

 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  (   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)