Accession Number : AD0651157

Title :   CONVEX FUNCTIONS ON CONVEX POLYTOPES,

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

Personal Author(s) : Gale,David ; Klee,Victor ; Rockafellar,R. T.

Report Date : MAR 1967

Pagination or Media Count : 15

Abstract : The behavior of convex functions is of interest in connection with a wide variety of optimization problems. It is shown here that this behavior is especially simple, in certain respects, when the domain is a polytope or belongs to certain classes of sets closely related to polytopes; moreover, the polytopes and related classes are actually characterized by this simplicity of behavior.

Descriptors :   (*FUNCTIONS(MATHEMATICS), OPTIMIZATION), CONVEX SETS, THEOREMS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE