Journal of Jilin University Science Edition

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A  Condition for Existence of a Solution ofImplicit Linear Complementarity Problems

YANG Taishan1, JIANG Boyang2   

  1. 1. College of Mathematics, Jilin University, Changchun 130012, China;2. College of Electronic Information and Control Engineering, Beijing University of Technology, Beijing 100022, China
  • Received:2016-08-24 Online:2017-03-26 Published:2017-03-24
  • Contact: YANG Taishan E-mail:yangts@jlu.edu.cn

Abstract: By constructing a homotopy equation of the implicit linear complementarity problem, we gave a new condition for the existence of homotopy path, proved the boundedness and convergence of the homotopy path and obtained the condition for the existence of a solution of the implicit linear complementarity problem.

Key words: column sufficient matrix, implicit linear complementarity problem, homotopy method

CLC Number: 

  • O221