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 [J].

Cvetkovic, Ljiljana .

NUMERICAL ALGORITHMS, 2006, 42 (3-4) :229-245

[5] Infinity norm bounds for the inverse of Nekrasov matrices [J].

Cvetkovic, Ljiljana ;

Dai, Ping-Fan ;

Doroslovacki, Ksenija ;

Li, Yao-Tang .

APPLIED MATHEMATICS AND COMPUTATION, 2013, 219 (10) :5020-5024

[6] Max-norm bounds for the inverse of S-Nekrasov matrices [J].

Cvetkovic, Ljiljana ;

Kostic, Vladimir ;

Doroslovacki, Ksenija .

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 [J].

Li, W .

LINEAR ALGEBRA AND ITS APPLICATIONS, 1998, 281 (1-3) :87-96

[10]

Tuo Q., 2011, THESIS XIANGTAN U

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