A matricial proof of the symmetric exchange axiom for eigenvalues of principal submatrices of a complex Hermitian matrix (Q1947132)
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scientific article; zbMATH DE number 6153443
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A matricial proof of the symmetric exchange axiom for eigenvalues of principal submatrices of a complex Hermitian matrix |
scientific article; zbMATH DE number 6153443 |
Statements
A matricial proof of the symmetric exchange axiom for eigenvalues of principal submatrices of a complex Hermitian matrix (English)
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12 April 2013
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The question -- from the paper by \textit{C. R. Johnson} et al. [Linear Algebra Appl. 390, 111--120 (2004; Zbl 1063.15005)] -- of the possible arrangement of multiplicities of a given eigenvalue among the principal submatrices of a complex Hermitean (or real symmetric) matrix is given, a matricial proof whereby the result from [loc. cit.] is also extended.
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Hermitean matrix
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submatrix
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principal submatrix
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eigenvalue
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geometric multiplicity
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symmetric exchange axiom
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0.7754856944084167
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