Norm estimates for the inverses of matrices of monotone type and totally positive matrices

被引：0
|
作者：
Yu. S. Volkov
V. L. Miroshnichenko
机构：
[1] Sobolev Institute of Mathematics,
来源：
Siberian Mathematical Journal | 2009年 / 50卷
关键词：
matrix of monotone type; -matrix; totally positive matrix; diagonal dominance; inverse matrix; norm of a matrix;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We give estimates of the infinity norm of the inverses of matrices of monotone type and totally positive matrices.
引用
收藏
页码：982 / 987
页数：5
相关论文
共 50 条
  • [21] MONOTONE POSITIVE STABLE MATRICES
    OLESKY, DD
    VANDENDRIESSCHE, P
    LINEAR ALGEBRA AND ITS APPLICATIONS, 1982, 48 (DEC) : 381 - 401
  • [22] An optimal bound for inverses of triangular matrices with monotone entries
    Berenhaut, Kenneth S.
    Guy, Richard T.
    Vish, Nathaniel G.
    LINEAR & MULTILINEAR ALGEBRA, 2011, 59 (04): : 475 - 481
  • [23] NEW CLASS OF MATRICES WITH POSITIVE INVERSES
    MEEK, DS
    LINEAR ALGEBRA AND ITS APPLICATIONS, 1976, 15 (03) : 253 - 260
  • [24] A note on infinity norm bounds for the inverses of Nekrasov matrices
    Lyu, Zhenhua
    Liu, Dan
    Wang, Shiyun
    Gao, Feng
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2024, 47 (18) : 14718 - 14726
  • [25] Bounds on the l ∞ Norm of Inverses for Certain Block Matrices
    Kolotilina L.Y.
    Journal of Mathematical Sciences, 2016, 216 (6) : 816 - 824
  • [26] Discretization error estimates in maximum norm for convergent splittings of matrices with a monotone preconditioning part
    Axelsson, Owe
    Janos Karatson
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2017, 310 : 155 - 164
  • [27] Norm Estimates for the Inverses of Strictly Diagonally Dominant M-Matrices and Linear Complementarity Problems
    Xiong, Yebo
    Liu, Jianzhou
    EAST ASIAN JOURNAL ON APPLIED MATHEMATICS, 2021, 11 (03) : 487 - 514
  • [28] Orlicz norm estimates for eigenvalues of matrices
    Defant, A
    Mastylo, M
    Michels, C
    ISRAEL JOURNAL OF MATHEMATICS, 2002, 132 (1) : 45 - 59
  • [29] Orlicz norm estimates for eigenvalues of matrices
    Andreas Defant
    Mieczysław Mastyło
    Carsten Michels
    Israel Journal of Mathematics, 2002, 132 : 45 - 59
  • [30] SOME PROPERTIES OF TOTALLY POSITIVE MATRICES
    CRYER, CW
    NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 21 (03): : A365 - A365
12345