A DECREASING SEQUENCE OF UPPER-BOUNDS FOR THE PERRON ROOT

被引：5

作者：

ROJO, O

JIMENEZ, R

机构：

[1] Department of Mathematics Universidad Católica del Norte Casilla 1280, Antofagasta

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 1994年 / 28卷 / 08期

关键词：

PERRON ROOT; NONNEGATIVE MATRIX; SPECTRAL RADIUS;

D O I：

10.1016/0898-1221(94)00166-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We obtain a decreasing sequence of upper bounds for the Perron root of a nonnegative matrix. These upper bounds are new and readily computable. For any nonnegative matrix with zero trace, the mentioned sequence converges to the Perron root. We apply these results to the adjacency matrix of a graph.

引用

页码：9 / 15

页数：7

共 50 条

[1] A decreasing sequence of upper bounds for the perron root
Li, Hua
[J]. Journal of Information and Computational Science, 2010, 7 (07): : 1489 - 1496
[2] 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
[3] Upper and lower bounds for the Perron root of a nonnegative matrix
Melman, A.
[J]. LINEAR & MULTILINEAR ALGEBRA, 2013, 61 (02): : 171 - 181
[4] 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
[5] GENERALIZED UPPER-BOUNDS
KUZMINA, TM
[J]. IZVESTIYA VYSSHIKH UCHEBNYKH ZAVEDENII MATEMATIKA, 1985, (09): : 69 - 71
[6] EFFECTIVE UPPER-BOUNDS OF THE NUMBER OF ZEROS IN THE LINEAR RECURSIVE SEQUENCE
VERESHCHAGIN, NK
[J]. VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 1 MATEMATIKA MEKHANIKA, 1986, (01): : 25 - 30
[7] WHEN ZERO DEFECTIVES APPEAR IN A SAMPLE - UPPER-BOUNDS ON CONFIDENCE COEFFICIENTS OF UPPER-BOUNDS
WRIGHT, T
[J]. AMERICAN STATISTICIAN, 1990, 44 (01): : 40 - 41
[8] IMPROVED UPPER-BOUNDS ON SHELLSORT
INCERPI, J
SEDGEWICK, R
[J]. JOURNAL OF COMPUTER AND SYSTEM SCIENCES, 1985, 31 (02) : 210 - 224
[9] UPPER-BOUNDS FOR ELECTROMAGNETIC EXCITATIONS
HALEMANE, TR
[J]. PHYSICS LETTERS B, 1982, 108 (4-5) : 256 - 260
[10] UPPER-BOUNDS ON THE HIGGS MASS
RODENBERG, R
[J]. LETTERE AL NUOVO CIMENTO, 1984, 40 (13): : 407 - 416

← 1 2 3 4 5 →