nag_dggsvp (f08vec) Example Program Results Numerical rank of (A**T B**T)**T (K+L) 3 Matrix S 1 2 3 1 -2.0569e+00 1.0771e+01 -7.2814e+00 2 7.1947e+00 -7.5262e+00 3 5.8129e-01 Upper triangular matrix T 1 2 1 8.0623e+00 -3.1305e+00 2 -4.9193e+00 Orthogonal matrix U 1 2 3 4 1 -1.3484e-01 5.1025e-01 -2.4351e-01 8.1373e-01 2 6.7420e-01 -5.4670e-01 -3.5349e-01 3.4874e-01 3 2.6968e-01 4.8292e-01 -6.9127e-01 -4.6499e-01 4 6.7420e-01 4.5558e-01 5.8129e-01 1.5127e-15 Orthogonal matrix V 1 2 1 -4.4721e-01 8.9443e-01 2 8.9443e-01 4.4721e-01 Orthogonal matrix Q 1 2 3 1 -8.3205e-01 5.5470e-01 0.0000e+00 2 5.5470e-01 8.3205e-01 0.0000e+00 3 0.0000e+00 0.0000e+00 -1.0000e+00