Journal of Jilin University Science Edition

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Existence Condition of a Solution of the Mixed Linear Complementarity Problem

YANG Taishan1, WANG Xiuyu2, JIANG Boyang3   

  1. 1. College of Mathematics, Jilin University, Changchun 130012, China;2. School of Basic Science, Changchun University of Technology, Changchun 130012, China;3. College of Electronic Information and Control Engineering, Beijing University of Technology, Beijing 100022, China
  • Received:2014-05-21 Online:2015-03-26 Published:2015-03-24
  • Contact: YANG Taishan E-mail:yangts@jlu.edu.cn

Abstract:

The mixed linear complementarity problem was considered by the homotopy method, a new homotopy equation was constructed, and the existence, boundedness and convergence of the homotopy path were proved, with a sufficient condition of the solution of mixed linear complementarity problem obtained.

Key words: mixed linear complementarity problem, homotopy method, P-matrix, homotopy path

CLC Number: 

  • O221.2