F08VEF Example Program Results

 Numerical rank of (A**T B**T)**T (K+L)
     3

 Upper triangular 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