Accession Number : AD0663661

Title :   A DUALITY THEORY FOR ABSTRACT MATHEMATICAL PROGRAMS WITH APPLICATIONS TO OPTIMAL CONTROL THEORY,

Corporate Author : BOEING SCIENTIFIC RESEARCH LABS SEATTLE WASH MATHEMATICS RESEARCH LAB

Personal Author(s) : Van Slyke,Richard M. ; Wets,Roger J. -B.

Report Date : OCT 1967

Pagination or Media Count : 52

Abstract : The paper gives necessary and sufficient conditions for optimality for convex programs in abstract spaces. The results obtained here contain as special cases all known duality theorems for convex mathematical programs as well as the results on optimality for linear problems in the calculus of variations and optimal control theory. The geometric aspect of the theory has been given particular emphasis. (Author)

Descriptors :   (*MATHEMATICAL PROGRAMMING, *CALCULUS OF VARIATIONS), (*CONTROL, *OPTIMIZATION), CONVEX SETS, THEOREMS, DIFFERENTIAL EQUATIONS, TOPOLOGY

Subject Categories : Operations Research

Distribution Statement : APPROVED FOR PUBLIC RELEASE