................................................................. The
performance of a nonlinear programming algorithm can only be ascertained
by numerical experiments requiring the collection and implementation of
test examples in dependence upon the desired performance criterium. This
book should be considered as an assis- tance for a test designer since
it presents an extensive collec- tion of nonlinear programming problems
which have been used in the past to test or compare optimization
programs. He will be in- formed about the optimal solution, about the
structure of the problem in the neighbourhood of the solution, and, in
addition, about the usage of the corresp, onding FORTRAN subroutines if
he is interested in obtaining them -ofi a magnetic tape. Chapter I shows
how the test examples are documented. In par- ticular, the evaluation of
computable information about the solu- tion of a problem is outlined. It
is explained how the optimal solution, the optimal Lagrange-multipliers,
and the condition number of the projected Hessian of the Lagrangian are
obtained. Furthermore, a classification number is defined allowing a
formal description of a test problem, and the documentation scheme is
described which is used in Chapter IV to present the problems.