Cospectrality and similarity for a pair of matrices under multiplicative and additive composition with diagonal matrices

被引：0

作者：

da Silva, JAD

Johnson, CR

机构：

[1] Univ Lisbon, CELC, Dept Matemat, P-1699 Lisbon, Portugal

[2] Coll William & Mary, Dept Math, Williamsburg, VA 23187 USA

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2001年 / 326卷 / 1-3期

关键词：

D O I：

10.1016/S0024-3795(00)00298-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Given n x n complex matrices A and B of equal nonzero determinant (of equal tract), we discuss when there exists an invertible diagonal matrix D (a diagonal matrix D) such that AD and ED (A + D and B + D) have equal spectrum and, also, when D may be chosen so that they are similar. In case D is relaxed to be a general nonsingular (general) matrix, then similarity may always be achieved. (C) 2001 Published by Elsevier Science Inc. All rights reserved.

引用

页码：15 / 25

页数：11