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.
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页码：97 / 109
页数：13
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