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