Accession Number : AD0691361

Title :   ON COMPLEMENTARY POLAR CONICAL SETS,

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

Personal Author(s) : Witzgall,Christoph

Report Date : MAY 1969

Pagination or Media Count : 34

Abstract : Tucker has formulated the Duality Theorem of Linear Programming in terms of orthogonality properties of a pair of complementary orthogonal linear manifolds with respect to the positive orthant. This theorem is generalized by substituting complementary polar conical sets for complementary orthogonal linear manifolds, and proved under simple stability assumptions. Equivalence to Feuchel's Duality Theorem for conjugate convex functions is established. There are strong parallelisms to work by Kretschmer. (Author)

Descriptors :   (*LINEAR PROGRAMMING, THEOREMS), CONVEX SETS, TOPOLOGY, STABILITY

Subject Categories : Operations Research

Distribution Statement : APPROVED FOR PUBLIC RELEASE