Accession Number : AD0638650

Title :   DUALITY FOR NONLINEAR PROGRAMMING IN A BANACH SPACE.

Descriptive Note : Technical summary rept.

Corporate Author : MATHEMATICS RESEARCH CENTER UNIV OF WISCONSIN MADISON

Personal Author(s) : Ritter,K.

Report Date : MAR 1966

Pagination or Media Count : 20

Abstract : The duality problem for nonlinear programming is considered in a real Banach space. Using an appropriate generalization of the Kuhn-Tucker Theorem the main results of the finite dimensional duality problem are extended to the infite dimensional case. It is shown that the dual problem of a quadratic infinite dimensional maximization problem can be transformed into a finite minimization problem in a finite dimensional Euclidean space. Potential applications to continuous programming problems and problems of optimal control theory are illustrated by an example. (Author)

Descriptors :   (*NONLINEAR PROGRAMMING, *FUNCTIONAL ANALYSIS), INEQUALITIES, THEOREMS, MATHEMATICAL PROGRAMMING

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE