A new proof of a theorem on M-matrices

被引：0
|
作者：
Geskus, Ronald B.
机构：
来源：
Linear Algebra and Its Applications | 2002年 / 348卷 / 1-3期
关键词：
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We provide a new and simpler proof of the following result by J.P. Milaszewicz and L.P. Moledo [Linear Algebra Appl. 195 (1993) 1]. Consider the equation Ax = y, with A a non-singular M-matrix. Suppose that yK does not equal 0 for each nucleus K, and that xi > 0 whenever yi less than or equal 0. Then x has only positive coordinates. The same method is used to prove their results on bounds for the solutions. Moreover, the conditions are weakened. © 2002 Elsevier Science Inc. All rights reserved.
引用
收藏
页码：139 / 144
相关论文
共 50 条
  • [21] New inequalities for the minimum eigenvalue of M-matrices
    Li, Chaoqian
    Li, Yaotang
    Zhao, Ruijuan
    LINEAR & MULTILINEAR ALGEBRA, 2013, 61 (09): : 1267 - 1279
  • [22] New bounds on the minimum eigenvalue of M-matrices
    1600, Centre for Environment Social and Economic Research, Post Box No. 113, Roorkee, 247667, India (50):
  • [23] INEQUALITIES FOR M-MATRICES
    FAN, K
    KONINKLIJKE NEDERLANDSE AKADEMIE VAN WETESCHAPPEN-PROCEEDINGS SERIES A-MATHEMATICAL SCIENCES, 1964, 67 (05): : 602 - &
  • [24] Proximity in group inverses of M-matrices and inverses of diagonally dominant M-matrices
    Catral, M
    Neumann, M
    Xu, JH
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2005, 409 : 32 - 50
  • [25] A Note On M-Matrices
    Yang Shangjun Zhang Xiaodong (Deparment of Mathematics Anhui University Hefei 230039)
    安徽大学学报(自然科学版), 1997, (04) : 25 - 28
  • [26] ON NONSINGULAR M-MATRICES
    MILASZEWICZ, JP
    MOLEDO, LP
    LINEAR ALGEBRA AND ITS APPLICATIONS, 1993, 195 : 1 - 8
  • [27] INVERSE M-MATRICES
    JOHNSON, CR
    LINEAR ALGEBRA AND ITS APPLICATIONS, 1982, 47 (OCT) : 195 - 216
  • [28] Nested matrices and inverse M-matrices
    Stuart, Jeffrey L.
    CZECHOSLOVAK MATHEMATICAL JOURNAL, 2015, 65 (02) : 537 - 544
  • [29] A generalization of the Perron-Frobenius theorem for nonlinear perturbations of M-matrices
    Li, Yao-Tang
    PROCEEDINGS OF THE 14TH CONFERENCE OF INTERNATIONAL LINEAR ALGEBRA SOCIETY, 2007, : 159 - 162
  • [30] Characterization of product inequalities for principal minors of M-matrices and inverse M-matrices
    Fallat, SM
    Hall, HT
    Johnson, CR
    QUARTERLY JOURNAL OF MATHEMATICS, 1998, 49 (196): : 451 - 458
12345