Journal of Jilin University Science Edition

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An Existence Condition of Solution of Absolute Value Equation

LAN Min1, JIANG Boyang2, JIANG Xingwu3   

  1. 1. School of Basic Science, Changchun University of Technology, Changchun 130012, China; 2. College ofElectronic Information and Control Enginee
    ring, Beijing University of Technology, Beijing 100022, China;3. Department of Foundation, Jilin Business and Technology College, Changchun 130507, China
  • Received:2014-04-02 Online:2015-01-26 Published:2015-01-19
  • Contact: LAN Min E-mail:lanmin@mail.ccut.edu.cn

Abstract:

The homotopy equation was constructed for absolute value equation, the existence, boundedness and convergence were proved, and an existence condition of a solution of absolute value equation was obtained. This condition is weaker than the one in the literature.

Key words: absolute value equation, homotopy method, homotopy path

CLC Number: 

  • O221.2