Accession Number : AD0716564

Title :   Stability and Exponential Penalty Function Techniques in Nonlinear Programming,

Corporate Author : NORTH CAROLINA UNIV CHAPEL HILL DEPT OF STATISTICS

Personal Author(s) : Evans,John P. ; Gould,Floyd J.

Report Date : NOV 1970

Pagination or Media Count : 21

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)

Descriptors :   (*NONLINEAR PROGRAMMING, STABILITY), EXPONENTIAL FUNCTIONS, OPTIMIZATION, PERTURBATION THEORY, SET THEORY, CONVERGENCE, MAPPING(TRANSFORMATIONS), ALGORITHMS

Subject Categories : Operations Research

Distribution Statement : APPROVED FOR PUBLIC RELEASE