This manual relates to an old release of the Library.
The documentation for the current release is also available on this site.
Example description
 E04XAA Example Program Results

 Find gradients and Hessian diagonals given function only                      
 ( i.e. MODE = 0 ).
 Function value is    1.550E+02
 Estimated gradient vector is
    2.400E+01   -2.680E+02    2.160E+02   -4.000E+01
 Estimated Hessian matrix diagonal is
    1.220E+02    3.080E+02    4.420E+02    1.300E+02

 Find Hessian matrix given function and gradients                              
 ( i.e. MODE = 1 ).
 Function value is    1.550E+02
 Gradient vector is
    2.400E+01   -2.680E+02    2.160E+02   -4.000E+01
 Estimated Hessian matrix (machine dependent) is
    1.220E+02    2.000E+01    0.000E+00   -1.200E+02
    2.000E+01    3.080E+02   -2.160E+02    0.000E+00
    0.000E+00   -2.160E+02    4.420E+02   -1.000E+01
   -1.200E+02    0.000E+00   -1.000E+01    1.300E+02

 Find gradients and Hessian matrix given function only                         
 ( i.e. MODE = 2 ).
 Function value is    1.550E+02
 Estimated gradient vector is
    2.400E+01   -2.680E+02    2.160E+02   -4.000E+01
 Estimated Hessian matrix (machine dependent) is
    1.220E+02    2.000E+01   -4.404E-03   -1.200E+02
    2.000E+01    3.080E+02   -2.160E+02    6.605E-03
   -4.404E-03   -2.160E+02    4.420E+02   -1.000E+01
   -1.200E+02    6.605E-03   -1.000E+01    1.300E+02