Stability and Exponential Penalty Function Techniques in Nonlinear Programming,

Abstract

In the paper, one develops the concept of a general exponential penalty function as a method of solving inequality constrained optimization problems. Relationships to the concept of stability in nonlinear programming are presented together with results on approximate solutions and bounds on the optimal value of a program. Conditions are stated which guarantee that sequences of penalty function maximizers will yield optimal solutions to the original programming problem. (Author)

Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1970
Accession Number
AD0716564

Entities

People

  • Floyd J. Gould
  • John P. Evans

Organizations

  • University of North Carolina at Chapel Hill

Tags

DTIC Thesaurus Topics

  • Computer Programming
  • Guarantees
  • Inequalities
  • Mathematical Programming
  • Mathematics
  • Nonlinear Programming
  • Optimization
  • Sequences

Fields of Study

  • Mathematics

Readers

  • Operations Research