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Some Remarks On E'-matrices

Some Remarks On E'-matrices
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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.
作者 LI Jian-ping
出处 《Chinese Quarterly Journal of Mathematics》 CSCD 2009年第1期40-45,共6页 数学季刊(英文版)
基金 Supported by the YSF of Guangdong University of Technology(062058)
关键词 linear complementarity problem E'-matrix irreducible matrices almost E-matrices 矩阵 必要条件 计算方法 数学理论
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参考文献5

  • 1COTTLE R W, PANG J S, STONE R E. The Linear Complementarity Problem[M]. New York: Academic Press, 1992.
  • 2FIEDLER M, PTAK V. On matrices with non-positive off-diagonal elements and positive principal minors[J]. Czechoslovak Mathematical Journal, 1962, 12: 382-400.
  • 3TERESA H CHU. On semimonotone matrices with nonnegative principal minors[J]. Linear Algebra Appl, 2003, 367: 147-154.
  • 4DANAO R A. A note on E'-matrices[J]. Linear Algebra Appl, 1997, 259: 299-305.
  • 5CRISTEN JONES, SEETHARAMA GOWDA M. On the connectedness of solution sets in linear complementarity problems[J]. Linear Algebra Appl, 1998, 272: 33-44.

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