数学季刊 ›› 2009, Vol. 24 ›› Issue (1): 40-45.

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有关E'-矩阵的若干注记

  

  1. Faculty of Applied Mathematics, Guangdong University of Technology

  • 收稿日期:2005-01-21 出版日期:2009-03-30 发布日期:2023-09-06
  • 作者简介:LI Jian-ping(1977- ), female, native of Shaodong, Hunan, a lecturer of Guandong University of Technology, M.S.D., engages in matrix theory.
  • 基金资助:
     Supported by the YSF of Guangdong University of Technology(062058);

Some Remarks On E'-matrices

  1. Faculty of Applied Mathematics, Guangdong University of Technology
  • Received:2005-01-21 Online:2009-03-30 Published:2023-09-06
  • About author:LI Jian-ping(1977- ), female, native of Shaodong, Hunan, a lecturer of Guandong University of Technology, M.S.D., engages in matrix theory.
  • Supported by:
     Supported by the YSF of Guangdong University of Technology(062058);

摘要: The class of E -matrices introduced in [4] is a subclass of Q0-matrices whose proper principal submatrices are Q-matrices. In this paper, we investigate the relation of the class E to other known matrix classes and obtain a series of necessary and sufficient conditions for E -matrices.

关键词:  linear complementarity problem,  E'-matrix, irreducible matrices, almost E-matrices

Abstract: The class of E -matrices introduced in [4] is a subclass of Q0-matrices whose proper principal submatrices are Q-matrices. In this paper, we investigate the relation of the class E to other known matrix classes and obtain a series of necessary and sufficient conditions for E -matrices.

Key words:  linear complementarity problem;  E'-matrix, irreducible matrices, almost E-matrices

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