Usage of the Fortran Subroutines

Abstract

This chapter describes the organization of the FORTRAN subroutines and informs the user about the way how to execute the test problems. Since it is assumed that at least a subset of the problems is used within a series of test runs for different optimization programs, the problems are coded in a very flexible manner. For example, it is possible to execute an arbitrary subset of the restrictions. To distinguish between linear and nonlinear constraints, we have to define a fixed succession of the restrictions in the following way:

$${\rm g}_{\rm j} ({\rm x})\, \ge \,0\,,\,{\rm j = 1,}...{\rm,m}_{{\rm 11}} \,,$$

linear functions,

$${\rm g}_{\rm j} ({\rm x})\, \ge \,0\,,\,{\rm j = m}_{{\rm 11}} {\rm + 1,}...{\rm,m}_{\rm 1} \,,$$

, nonlinear functions,

$${\rm g}_{\rm j} ({\rm x})\, = \,0\,,\,{\rm j = m}_{\rm 1} {\rm + 1,}...{\rm,m}_{{\rm 21}} \,,$$

, linear functions,

$${\rm g}_{\rm j} ({\rm x})\, = \,0\,,\,{\rm j = m}_{{\rm 21}} {\rm + 1,}...{\rm,m}\,,$$

, nonlinear functions.