A RELAXED INTERIOR APPROACH TO NONLINEAR PROGRAMMING.

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)

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1967
Accession Number
AD0666785

Entities

People

  • James E. Falk

Tags

DTIC Thesaurus Topics

  • Applied Mathematics
  • Computer Programming
  • Interdisciplinary Science
  • Intervals
  • Mathematical Programming
  • Mathematics
  • Nonlinear Programming
  • Operations Research
  • Standards
  • Validation

Fields of Study

  • Mathematics

Readers

  • Operations Research