BOUNDS FOR THE EIGENVALUES OF MATRICES

被引：0

作者：

Zou, Limin ^{[1
]}

Jiang, Youyi ^{[1
]}

机构：

[1] Chongqing Three Gorges Univ, Sch Math & Stat, Chongqing 404100, Peoples R China

来源：

ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS | 2014年 / 32期

关键词：

eigenvalues; Frobenius norm; trace; disk;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we prove that all the eigenvalues of arbitrarily complex matrix lies in a closed disk with the radius involving the sum of the squares of the absolute values of the eigenvalues. So, any known upper bound on this sum of squares yields a "new" eigenvalues inclusion region. As applications, some existing results are obtained or improved.

引用

下载

页码：519 / 524

页数：6

共 50 条

[1] Bounds for the eigenvalues of matrices
Zou, Limin
Jiang, Youyi
Italian Journal of Pure and Applied Mathematics, 2014, 32 : 519 - 524
[2] Tropical bounds for eigenvalues of matrices
Akian, Marianne
Gaubert, Stephane
Marchesini, Andrea
LINEAR ALGEBRA AND ITS APPLICATIONS, 2014, 446 : 281 - 303
[3] BOUNDS FOR EIGENVALUES OF NONNEGATIVE MATRICES
DEMARR, RE
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 16 (01): : 159 - &
[4] Bounds on eigenvalues of interval matrices
Rohn, J.
Zeitschrift fuer Angewandte Mathematik und Mechanik, ZAMM, Applied Mathematics and Mechanics, 78 (Suppl 3):
[5] BOUNDS OF EIGENVALUES OF PRECONDITIONED MATRICES
AXELSSON, O
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 1992, 13 (03) : 847 - 862
[6] BOUNDS FOR EIGENVALUES OF CERTAIN STOCHASTIC MATRICES
LANDAU, HJ
ODLYZKO, AM
LINEAR ALGEBRA AND ITS APPLICATIONS, 1981, 38 (JUN) : 5 - 15
[7] Bounds on the Moduli of Eigenvalues of Rational Matrices
Basavaraju, Pallavi
Hadimani, Shrinath
Jayaraman, Sachindranath
RESULTS IN MATHEMATICS, 2024, 79 (05)
[8] IMPROVING BOUNDS OF EIGENVALUES AND EIGENVECTORS OF MATRICES
KRAWCZYK, R
COMPUTING, 1970, 5 (03) : 200 - &
[9] Eigenvalues bounds for symmetric interval matrices
Singh, Sukhjit
Gupta, D. K.
INTERNATIONAL JOURNAL OF COMPUTING SCIENCE AND MATHEMATICS, 2015, 6 (04) : 311 - 322
[10] Bounds for the extreme eigenvalues of symmetric matrices
Huang, TZ
Xu, CX
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2003, 83 (03): : 214 - 216

← 1 2 3 4 5 →