Some new inequalities involving the Hadamard product of an M-matrix and its inverse

被引:0
作者
Feng Wang
Jian-xing Zhao
Chao-qian Li
机构
[1] Guizhou Minzu University,College of Science
[2] Yunnan University,School of Mathematics and Statistics
来源
Acta Mathematicae Applicatae Sinica, English Series | 2017年 / 33卷
关键词
-matrix; Hadamard product; minimum eigenvalue; lower bounds; 15A06; 15A15; 15A48;
D O I
暂无
中图分类号
学科分类号
摘要
For the Hadamard product of an M-matrix and its inverse, some new lower bounds on the minimum eigenvalue are given. These bounds can improve considerably some previous results.
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页码:505 / 514
页数:9
相关论文
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  • [1] Chen S.C.(2004)A lower bound for the minimum eigenvalue of the hadamard product of matrices Linear Algebra Appl. 378 159-166
  • [2] Fiedler M.(1985)A trace inequality for M-matrices and the symmetrizability of a real matrix by a positive diarix Linear Algebra Appl. 71 81-94
  • [3] Johnson C.R.(1988)An inequality for the Hadamard product of an M-matrix and inverse M-matrix Linear Algebra Appl. 101 1-8
  • [4] Markham T.(2007)Lower bounds for the minimum eigenvalue of the Hadamard product of an M-matrix and its inverse Linnear Algebra Appl. 420 235-247
  • [5] Neumann M.(2009)New lower bounds on eigenvalue of the Hadamard product of an M-matrix and its inverse Linnear Algebra Appl. 430 1423-1431
  • [6] Fiedler M.(2010)Some new lower bounds on eigenvalues of the Hadamard product and the Fan product of matrices Linnear Algebra Appl. 432 536-545
  • [7] Markham T.(2011)Some new lower bounds for the minimum eigenvalue of the Hadamard product of an M-matrix and its inverse Electronic Journal of Linear Algebra 22 630-643
  • [8] Li H.B.(2000)On an inequality for the Hadamard product of an M-matrix and its inverse Linnear Algebra Appl. 305 99-105
  • [9] Huang T.Z.(1965)Minimal Gerschgorin sets Pacific J. Math. 15 719-729
  • [10] Shen S.Q.(2003)On an inequality for the Hadamard product of an Linnear Algebra Appl. 367 17-27