Order invariant spectral properties for several matrices

被引：2

作者：

Furtado, Susana ^{[1
,3
]}

Johnson, Charles R. ^{[2
]}

机构：

[1] Univ Porto, Fac Econ, P-4200464 Oporto, Portugal

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

[3] Univ Lisbon, Ctr Estruturas Lineares & Combinatorias, Lisbon, Portugal

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2010年 / 432卷 / 08期

关键词：

Products of matrices; Eigenvalues; Trace; Similarity;

D O I：

10.1016/j.laa.2009.04.014

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The collections of m n-by-n matrices over a field such that the products in any of the m! orders share a common similarity class (resp. spectrum, trace) are studied. The spectral and trace order invariant properties are characterized and the similarity invariant one is related to them in several cases. A complete explicit description is given in case m = 3 and n = 2. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：1950 / 1960

页数：11

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