ON COMPLEMENTARY POLAR CONICAL SETS,

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)

Document Details

Document Type
Technical Report
Publication Date
May 01, 1969
Accession Number
AD0691361

Entities

People

  • Christoph Witzgall

Organizations

  • Boeing

Tags

DTIC Thesaurus Topics

  • Applied Mathematics
  • Computer Programming
  • Computing-Related Activities
  • Convex Programming
  • Functions (Mathematics)
  • Interdisciplinary Science
  • Linear Programming
  • Mathematical Programming
  • Mathematics
  • Orthogonality

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Graph Algorithms and Convex Optimization.