Upper and lower bounds for the Perron root of a nonnegative matrix

被引：8

作者：

Melman, A. ^{[1
]}

机构：

[1] Santa Clara Univ, Sch Engn, Dept Appl Math, Santa Clara, CA 95053 USA

来源：

LINEAR & MULTILINEAR ALGEBRA | 2013年 / 61卷 / 02期

关键词：

nonnegative matrix; Perron root; bounds; Gershgorin; sparse matrix; ZEROS;

D O I：

10.1080/03081087.2012.667096

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We derive upper and lower bounds for the Perron root of a nonnegative matrix by using generalized Gershgorin inclusion regions. Our bounds seem particularly effective for certain sparse matrices.

引用

页码：171 / 181

页数：11

共 50 条

[1] LOWER BOUNDS FOR THE PERRON ROOT OF A NONNEGATIVE MATRIX
SONG, YZ
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 1992, 169 : 269 - 278
[2] LOWER BOUNDS FOR THE PERRON ROOT OF A NONNEGATIVE MATRIX
KOLOTILINA, LY
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 1993, 180 : 133 - 151
[3] A sequence of upper bounds for the Perron root of a nonnegative matrix
Tasci, D
Kirkland, S
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 1998, 273 : 23 - 28
[4] LOWER BOUNDS FOR THE PERRON ROOT OF A NONNEGATIVE IRREDUCIBLE MATRIX
DEUTSCH, E
[J]. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1982, 92 (JUL) : 49 - 54
[5] SOME LOWER BOUNDS FOR THE PERRON ROOT OF A NONNEGATIVE MATRIX
Shen, Shu-Qian
Wang, Guang-Bin
[J]. MATHEMATICAL INEQUALITIES & APPLICATIONS, 2012, 15 (01): : 97 - 105
[6] The lower and upper bounds on Perron root of nonnegative irreducible matrices
Huang, Guang-Xin
Yin, Feng
Guo, Ke
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2008, 217 (01) : 259 - 267
[7] New bounds for perron root of a nonnegative matrix
Chen J.
Li W.
[J]. Journal of Applied Mathematics and Computing, 2007, 23 (1-2) : 337 - 344
[8] Bounds and Inequalities for the Perron Root of a Nonnegative Matrix
L. Yu. Kolotilina
[J]. Journal of Mathematical Sciences, 2004, 121 (4) : 2481 - 2507
[9] New Bounds For Perron Root of A Nonnegative Matrix
Li, Hua
Diao, Qun
[J]. ICMS2010: PROCEEDINGS OF THE THIRD INTERNATIONAL CONFERENCE ON MODELLING AND SIMULATION ICMS2010, VOL 5: APPLIED MATHEMATICS AND MATHEMATICAL MODELLING, 2010, : 92 - 96
[10] NESTED BOUNDS FOR THE PERRON ROOT OF A NONNEGATIVE MATRIX
DEUTSCH, E
WIELANDT, H
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 1983, 52-3 (JUL) : 235 - 251

← 1 2 3 4 5 →