ON THE LOCATION OF EIGENVALUES OF MATRIX POLYNOMIALS

被引：7

作者：

Cong-Trinh Le ^{[1
,2
]}

Thi-Hoa-Binh Du ^{[3
]}

Tran-Duc Nguyen ^{[3
]}

机构：

[1] Ton Duc Thang Univ, Inst Computat Sci, Div Computat Math & Engn, Ho Chi Minh City, Vietnam

[2] Ton Duc Thang Univ, Fac Math & Stat, Ho Chi Minh City, Vietnam

[3] Quy Nhon Univ, Dept Math, Quy Nhon City, Binh Dinh, Vietnam

来源：

OPERATORS AND MATRICES | 2019年 / 13卷 / 04期

关键词：

Matrix polynomial; lambda-matrix; polynomial eigenvalue problem; ENESTROM-KAKEYA THEOREM; NUMERICAL RANGE; ZEROS;

D O I：

10.7153/oam-2019-13-66

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A number lambda is an element of C is called an eigenvalue of the matrix polynomial P(z) if there exists a nonzero vector x is an element of C-n such that P(lambda)x = 0. Note that each finite eigenvalue of P(z) is a zero of the characteristic polynomial det(P(z)). In this paper we establish some (upper and lower) bounds for eigenvalues of matrix polynomials based on the norm of their coefficient matrices and compare these bounds to those given by N. J. Higham and F. Tisseur [8], J. Maroulas and P. Psarrakos [12].

引用

页码：937 / 954

页数：18

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