Accession Number : AD0772325

Title :   The Use of Pseudo-Convexity and Quasi-Convexity in Sufficient Conditions for Global Constrained Extrema,

Corporate Author : LAVAL UNIV QUEBEC DEPARTEMENT DE GENIE ELECTRIQUE

Personal Author(s) : Mereau,Pierre ; Paquet,Jean-Guy

Report Date : 10 NOV 1972

Pagination or Media Count : 9

Abstract : Several sufficient conditions for global constrained minima are given. These conditions consist of necessary conditions for local minima together with generalized convexity assumptions. The convexity-type assumptions are made on the Lagrangian function, which presents the advantage of not requiring any (generalized convexity) assumption on each function involved in the problem and of allowing probelms with several local extrema. Previously obtained results are used to replace pseudo-convexity by a more workable condition. (Author)

Descriptors :   *Convex sets, Inequalities, Matrices(Mathematics), Theorems, Canada

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE