Improvements on the infinity norm bound for the inverse of Nekrasov matrices

被引：15

作者：

Li, Chaoqian ^{[1
]}

Pei, Hui ^{[1
]}

Gao, Aning ^{[1
]}

Li, Yaotang ^{[1
]}

机构：

[1] Yunnan Univ, Sch Math & Stat, Yunnan, Peoples R China

来源：

NUMERICAL ALGORITHMS | 2016年 / 71卷 / 03期

关键词：

Infinity norm; Nekrasov matrices; H-matrices;

D O I：

10.1007/s11075-015-0012-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

New bounds for the infinity norm of the inverse of Nekrasov matrices, which involve a parameter, are given. And then we determine the optimal value of the parameter such that the new bounds are better than those in Cvetkovic et al. (Appl. Math. Comput. 219, 5020-5024, 2013). Numerical examples are given to illustrate the corresponding results.

引用

页码：613 / 630

页数：18

共 11 条

[1] [Anonymous], 1979, NONNEGATIVE MATRICES
[2] [Anonymous], 1969, Linear Algebra Appl., DOI DOI 10.1016/0024-3795(69)90029-9
[3] Bai Z. Z., 1993, Numer. Math. J. Univ, V2, P87
[4] H-matrix theory vs. eigenvalue localization
Cvetkovic, Ljiljana
[J]. NUMERICAL ALGORITHMS, 2006, 42 (3-4) : 229 - 245
[5] Infinity norm bounds for the inverse of Nekrasov matrices
Cvetkovic, Ljiljana
Dai, Ping-Fan
Doroslovacki, Ksenija
Li, Yao-Tang
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2013, 219 (10) : 5020 - 5024
[6] Max-norm bounds for the inverse of S-Nekrasov matrices
Cvetkovic, Ljiljana
Kostic, Vladimir
Doroslovacki, Ksenija
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (18) : 9498 - 9503
[7] Hu J.-G., 1983, MATH NUMER SINICA, V5, P72
[8] Hu J-G., 1982, Math Numer Sin, V3, P272
[9] On Nekrasov matrices
Li, W
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 1998, 281 (1-3) : 87 - 96
[10] Tuo Q., 2011, THESIS XIANGTAN U

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