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A generalization of Sylvester's law of inertia

Title
A generalization of Sylvester's law of inertia
Type
Article in International Scientific Journal
Year
2001
Authors
Charles R. Johnson
(Author)
Other
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Susana Margarida Figueiredo de Sousa Borges Furtado
(Author)
FEP
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Journal
Vol. 338
Pages: 287-290
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-000-SRR
Abstract (EN): We introduce the class of unitoid matrices as those that are diagonalizable by congruence; the nondegenerate canonical angles of a unitoid matrix A are the directions of the nonzero entries of a diagonal matrix congruent to A (which are shown to be unique). Sylvester's law states that two Hermitian matrices of the same size are congruent if and only if they have the same numbers of positive (respectively, negative) eigenvalues. Two unitoid matrices are congruent if and only if they have the same nondegenerate canonical angles.
Language: English
Type (Professor's evaluation): Scientific
No. of pages: 4
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