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

Smigoc, Helena
; 
Johnson, Charles R.
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.
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2013-01-01
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Mathematics
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Johnson, C. R., & Šmigoc, H. (2013). A matricial proof of the symmetric exchange axiom for eigenvalues of principal submatrices of a complex Hermitian matrix. Linear Algebra and its Applications, 438(9), 3719-3722.
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Mathematics
DOI
10.1016/j.laa.2013.01.006
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https://scholarworks.wm.edu/handle/internal/813
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