On matrices having equal spectral radius and some matrix norm

被引：0

作者：

Zhang, Cheng-yi ^{[1
]}

Luo, Shuanghua ^{[1
]}

机构：

[1] Xian Polytech Univ, Sch Sci, Xian 710048, Shaanxi, Peoples R China

来源：

COMPUTATIONAL & APPLIED MATHEMATICS | 2018年 / 37卷 / 02期

关键词：

Equally absolute sum matrices; Spectral radius; infinity-norm (1-norm); infinity-radial matrices; 1-radial matrices; theta-ray matrices; GENERAL H-MATRICES; EIGENVALUE DISTRIBUTION; SCHUR COMPLEMENTS; SYSTEMS;

D O I：

10.1007/s40314-016-0375-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A class of matrices, called infinity-radial matrices (1-radial matrices) whose spectral radius equals their oo-norm (infinity-norm), is proposed in this paper and some theoretical results are established to give several necessary and sufficient conditions of this class of matrices. Then, some properties of this class of matrices are presented. Finally, some applications of this class of matrices in the linear discrete dynamic systems are studied such that the zero solution of the linear discrete dynamic systems is asymptotically stable.

引用

页码：912 / 921

页数：10

共 11 条

[1]

Bermudez A. J., 1994, SAVMA Symposium 1994 Proceedings., P1

[2]

Chen J, 2001, SPEICAL MATRICES, P239

[3]

[陈神灿 Chen Shencan], 2013, [高等学校计算数学学报, Numerical Mathematics A Journal of Chinese University], V35, P143

[4]

Goldberg M., 1974, Linear Algebra Appl., V8, P427

[5]

Horn R.A., 1986, Matrix Analysis

[6]

Liu Q, 2008, FAR E J APPL MATH, V30, P315

[7] A kind of nonnegative matrices and its application on the stability of discrete dynamical systems [J].

Xue Xiaoping ;

Guo Liang .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 331 (02) :1113-1121

[8] The eigenvalue distribution on Schur complements of H-matrices [J].

Zhang, Cheng-yi ;

Xu, Chengxian ;

Li, Yao-tang .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2007, 422 (01) :250-264

[9] CONVERGENCE ON GAUSS-SEIDEL ITERATIVE METHODS FOR LINEAR SYSTEMS WITH GENERAL H-MATRICES [J].

Zhang, Cheng-yi ;

Ye, Dan ;

Zhong, Cong-Lei ;

Luo, Shuanghua .

ELECTRONIC JOURNAL OF LINEAR ALGEBRA, 2015, 30 :843-870

[10]

Zhang CY, 2009, ELECTRON J LINEAR AL, V18, P801

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