A matricial proof of the symmetric exchange axiom for eigenvalues of principal submatrices of a complex Hermitian matrix

被引：0

作者：

Johnson, Charles R. ^{[2
]}

Smigoc, Helena ^{[1
]}

机构：

[1] Univ Coll Dublin, Sch Math Sci, Dublin 2, Ireland

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

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2013年 / 438卷 / 09期

关键词：

Hermitian matrices; Submatrices; Eigenvalues; Symmetric exchange axiom; MULTIPLICITIES;

D O I：

10.1016/j.laa.2013.01.006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In [C.R. Johnson, B. Kroschel, M. Omladic, Eigenvalue multiplicities in principal submatrices, Linear Algebra Appl. 390 (2004)111-120] a result constraining the eigenvalues of principal submatrices of complex Hermitian matrices, based upon matroid theory, was given. Here we give a matricial proof of this result which also enables us to find a generalization of the original result. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：3719 / 3722

页数：4

共 8 条

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