nag_lapackeig_dggsvd (f08vac) Example Program Results Number of infinite generalized singular values (k) 1 Number of finite generalized singular values (l) 2 Numerical rank of ( A^T B^T)^T (k+l) 3 Finite generalized singular values 1.3151e+00 8.0185e-02 Orthogonal matrix U 1 2 3 4 1 -1.3484e-01 5.2524e-01 -2.0924e-01 8.1373e-01 2 6.7420e-01 -5.2213e-01 -3.8886e-01 3.4874e-01 3 2.6968e-01 5.2757e-01 -6.5782e-01 -4.6499e-01 4 6.7420e-01 4.1615e-01 6.1014e-01 1.5127e-15 Orthogonal matrix V 1 2 1 3.5539e-01 -9.3472e-01 2 9.3472e-01 3.5539e-01 Orthogonal matrix Q 1 2 3 1 -8.3205e-01 -9.4633e-02 -5.4657e-01 2 5.5470e-01 -1.4195e-01 -8.1985e-01 3 0.0000e+00 -9.8534e-01 1.7060e-01 Nonsingular upper triangular matrix R 1 2 3 1 -2.0569e+00 -9.0121e+00 -9.3705e+00 2 -1.0882e+01 -7.2688e+00 3 -6.0405e+00 Estimate of reciprocal condition number for R 4.2e-02 Error estimate for the generalized singular values 2.6e-15