Spectral properties of matrix polynomials in the max algebra

被引：9

作者：

Gursoy, Buket Benek ^{[1
]}

Mason, Oliver ^{[1
]}

机构：

[1] Natl Univ Ireland, Hamilton Inst, Maynooth, Kildare, Ireland

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2011年 / 435卷 / 07期

关键词：

Matrix polynomials; Perron-Frobenius theory; Max algebra; PERRON-FROBENIUS THEORY; VERSION;

D O I：

10.1016/j.laa.2010.01.014

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the spectral properties of matrix polynomials over the max algebra. In particular, we show how the Perron-Frobenius theorem for the max algebra extends to such polynomials and illustrate the relevance of this for multistep difference equations in the max algebra. We also present a number of inequalities for the largest max eigenvalue of a matrix polynomial. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：1626 / 1636

页数：11

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