"A matricial proof of the symmetric exchange axiom for eigenvalues of p" by Helena Smigoc and Charles R. Johnson
 

Document Type

Article

Department/Program

Mathematics

Journal Title

Linear Algebra and Its Applications

Pub Date

2013

Volume

438

Issue

9

First Page

3719

Abstract

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.

DOI

10.1016/j.laa.2013.01.006

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