Set inertia-preserving matrices

The inertia-preservers of several sets of matrices are identified. The sets include: all real matrices, all complex matrices, triangular matrices, real symmetric matrices and Hermitian matrices.

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Bibliographic Details
Published inLinear & multilinear algebra Vol. 43; no. 1-3; pp. 169 - 179
Main Authors Berman, Abraham, Shasha, Dafna
Format Journal Article
LanguageEnglish
Published Gordon and Breach Science Publishers 01.01.1997
Subjects
AMS Subject Classification: 15A18, 15A99, 93D05
Inertia-preserving matrices
positive definite matrices
scalar matrices
set inertia-preserving matrices
stable matrices
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Summary:The inertia-preservers of several sets of matrices are identified. The sets include: all real matrices, all complex matrices, triangular matrices, real symmetric matrices and Hermitian matrices.
ISSN:0308-1087
1563-5139
DOI:10.1080/03081089708818523