On Minkowski Matrices and the Linear Complementarity Problem.

Abstract

In this paper, it is shown that the restricted basis simplex method for solving the problem of maximizing the value of a parameter for which a parametric linear complementarity problem with upper bounds on the independent variables is not generally valid. On the positive side, it is shown that a sufficient condition for the method to work is the convexity of a particular art of points. The paper gives necessary and sufficient conditions for this set to be convex.

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1975
Accession Number
ADA013000

Entities

People

  • Richard Cottle

Organizations

  • Stanford University

Tags

DTIC Thesaurus Topics

  • Simplex Method

Fields of Study

  • Mathematics

Readers

  • Operations Research