Journal of Jilin University Science Edition

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Existence Condition of a Solution of Generalized Linear Complementarity Problems

WANG Lei, WANG Xiuyu   

  1. School of Basic Science, Changchun University of Technology, Changchun 130012, China
  • Received:2016-01-19 Online:2016-11-26 Published:2016-11-29
  • Contact: WANG Xiuyu E-mail:wangxiuyu.000@163.com

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

Key words: homotopy method, generalized linear complementarity problem, P0 matrix

CLC Number: 

  • O221