NOTES ON LINEAR INEQUALITIES, I: THE INTERSECTION OF THE NONNEGATIVE ORTHANT WITH COMPLEMENTARY ORTHOGONAL SUBSPACES

Abstract

The intersections of the nonnegative orthant in E to the Nth power with pairs of complementary orthogonal subspaces are investigated. Appli cations to linear inequalities and linear programming are then made by using Fredholm's alternative theorem.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1963
Accession Number
AD0414513

Entities

People

  • Adi Benisrael

Organizations

  • Northwestern University

Tags

DTIC Thesaurus Topics

  • Computer Programming
  • Equations
  • Governments
  • Illinois
  • Inequalities
  • Linear Programming
  • Military Research
  • Orthogonality
  • United States
  • United States Government
  • Universities
  • Vector Spaces
  • Virginia

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Mathematical Modeling and Probability Theory.