Title

An Application of the KhachianShor Algorithm to a Class of Linear Complementary Problems

Document Type

Discussion Paper

Publication Date

3-1-1980

CFDP Number

549

CFDP Pages

12

Abstract

The recent ellipsoidal method for solving linear programs due to Khachian and Shor is shown to process linear complementarity problems with positive semidefinite matrix. Suitable modifications of all lemmas are presented and it is shown that the algorithm operates in polynomial time of the same order as that required for linear programming. Thus quadratic programming problems are solvable in polynomial time.

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