F08XEF Example Program Results
 Matrix A after balancing
             1          2          3          4          5
 1      1.0000     1.0000     0.1000     0.1000     0.1000
 2      2.0000     4.0000     0.8000     1.6000     3.2000
 3      0.3000     0.9000     0.2700     0.8100     2.4300
 4      0.4000     1.6000     0.6400     2.5600    10.2400
 5      0.5000     2.5000     1.2500     6.2500    31.2500

 Matrix B after balancing
             1          2          3          4          5
 1      1.0000     2.0000     0.3000     0.4000     0.5000
 2      1.0000     4.0000     0.9000     1.6000     2.5000
 3      0.1000     0.8000     0.2700     0.6400     1.2500
 4      0.1000     1.6000     0.8100     2.5600     6.2500
 5      0.1000     3.2000     2.4300    10.2400    31.2500

 Matrix A in Hessenberg form
             1          2          3          4          5
 1     -2.1898    -0.3181     2.0547     4.7371    -4.6249
 2     -0.8395    -0.0426     1.7132     7.5194   -17.1850
 3      0.0000    -0.2846    -1.0101    -7.5927    26.4499
 4      0.0000     0.0000     0.0376     1.4070    -3.3643
 5      0.0000     0.0000     0.0000     0.3813    -0.9937

 Matrix B is triangular
             1          2          3          4          5
 1     -1.4248    -0.3476     2.1175     5.5813    -3.9269
 2      0.0000    -0.0782     0.1189     8.0940   -15.2928
 3      0.0000     0.0000     1.0021   -10.9356    26.5971
 4      0.0000     0.0000     0.0000     0.5820    -0.0730
 5      0.0000     0.0000     0.0000     0.0000     0.5321

 Minimal required LWORK =      5
 Actual value of  LWORK =     30

 Generalized eigenvalues
    1     ( -2.437,  0.000)
    2     (  0.607,  0.795)
    3     (  0.607, -0.795)
    4     (  1.000,  0.000)
    5     ( -0.410,  0.000)