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Analogs of Cauchy-Poincare and Fan-Pall interlacing theorems for J-Hermitian and J-normal matrices

Title
Analogs of Cauchy-Poincare and Fan-Pall interlacing theorems for J-Hermitian and J-normal matrices
Type
Article in International Scientific Journal
Year
2010
Authors
Natália Bebiano
(Author)
Other
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Susana Borges Furtado
(Author)
FEP
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João da Providência
(Author)
Other
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Journal
Vol. 433
Pages: 80-90
ISSN: 0024-3795
Publisher: Elsevier
Indexing
Publicação em ISI Web of Science ISI Web of Science
Scientific classification
FOS: Natural sciences
Other information
Authenticus ID: P-003-5Q2
Abstract (EN): The interlacing theorem of Cauchy-Poincare states that the eigenvalues of a principal submatrix A(0) of a Hermitian matrix A interlace the eigenvalues of A. Fan and Pall obtained an analog of this theorem for normal matrices. In this note we investigate analogs of Cauchy-Poincare and Fan-Pall interlacing theorems for J-Hermitian and J-normal matrices. The corresponding inverse spectral problems are also considered.
Language: English
Type (Professor's evaluation): Scientific
No. of pages: 11
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