Bound estimates of the eigenvalues of matrix polynomials

被引：1

作者：

Monga, Z. B. ^{[1
]}

Shah, W. M. ^{[1
]}

机构：

[1] Cent Univ Kashmir, Dept Math, Ganderbal 191201, India

来源：

JOURNAL OF ANALYSIS | 2023年 / 31卷 / 04期

关键词：

Matrix polynomial; Eigenvalue; Cauchy-type bound; LACUNARY STATISTICAL CONVERGENCE; ORDER ALPHA; EQUIVALENT SEQUENCES;

D O I：

10.1007/s41478-023-00633-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we prove some results concerning the bound estimates of the eigenvalues of a matrix polynomial. This in particular include the results earlier proved by Dehmer and Killian [On bounds for the zeros of univariate polynomials,World Academy of Science, Engineering and Technology, 26 (2007)] for the location of zeros of polynomials.

引用

页码：2973 / 2983

页数：11

共 13 条

[1]

[Anonymous], 1998, Galois theory

[2]

[Anonymous], 1982, Matrix polynomials

[3] LOCATING THE EIGENVALUES OF MATRIX POLYNOMIALS [J].

Bini, Dario A. ;

Noferini, Vanni ;

Sharify, Meisam .

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2013, 34 (04) :1708-1727

[4]

Cauchy A.L., 1891, RESOLUTION DESEQUATI, V9, P86

[5] ON THE LOCATION OF EIGENVALUES OF MATRIX POLYNOMIALS [J].

Cong-Trinh Le ;

Thi-Hoa-Binh Du ;

Tran-Duc Nguyen .

OPERATORS AND MATRICES, 2019, 13 (04) :937-954

[6]

Dehmer M., 2007, BOUNDS ZEROS UNIVARI, V26

[7]

Dehmer M., 2006, J INEQUAL PURE APPL, V7

[8] Bounds for eigenvalues of matrix polynomials [J].

Higham, NJ ;

Tisseur, F .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2003, 358 :5-22

[9]

Marden M., 1966, GEOMETRY POLYNOMIALS

[10] Generalization and variations of Pellet's theorem for matrix polynomials [J].

Melman, A. .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2013, 439 (05) :1550-1567

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