F08VAF 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 Non singular 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