Construction of nonnegative symmetric matrices with given spectrum

被引：25

作者：

Laffey, Thomas J. ^{[1
]}

Smigoc, Helena ^{[1
]}

机构：

[1] Univ Coll Dublin, Dept Math, Dublin 2, Ireland

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2007年 / 421卷 / 01期

基金：

爱尔兰科学基金会;

关键词：

nonnegative inverse eigenvalue problem; symmetric matrices; eigenvalues;

D O I：

10.1016/j.laa.2006.10.018

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let sigma = (lambda(1),..., lambda(n)) be the spectrum of a nonnegative symmetric matrix A with the Perron eigenvalue lambda(1), a diagonal entry c and let tau = (mu(1),..., mu(m)) be the spectrum of a nonnegative symmetric matrix B with the Perron eigenvalue mu(1). We show how to construct a nonnegative symmetric rnatrix C with the spectrum (lambda(1) + max{0, mu(1) - c}, lambda(2), . . . , lambda(n), mu(2), . . . , mu(m)). (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：97 / 109

页数：13

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