This manual relates to an old release of the Library.
The documentation for the current release is also available on this site.
Example description
 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