Accession Number : AD0666785

Title :   A RELAXED INTERIOR APPROACH TO NONLINEAR PROGRAMMING.

Descriptive Note : Technical paper,

Corporate Author : RESEARCH ANALYSIS CORP MCLEAN VA

Personal Author(s) : Falk,James E.

Report Date : DEC 1967

Pagination or Media Count : 25

Abstract : The paper contains the mathematical validation of a new approach to mathematical programming problems based on a penalty-function method. The given problem is replaced by a second 'auxiliary' problem, which in many cases may be solved by standard methods since it involves the maximization of a concave function of a single variable over an interval. The auxiliary problem is defined implicitly in terms of the constituents of the original problem. Examples are presented to illustrate the theoretical results. (Author)

Descriptors :   (*MATHEMATICAL PROGRAMMING, PROBLEM SOLVING), NONLINEAR PROGRAMMING, SET THEORY, FUNCTIONS(MATHEMATICS), INEQUALITIES, ALGORITHMS, OPTIMIZATION, THEOREMS

Subject Categories : Operations Research

Distribution Statement : APPROVED FOR PUBLIC RELEASE