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On the number of unitary similarity classes in a C-S equivalence class: the normal case

Title
On the number of unitary similarity classes in a C-S equivalence class: the normal case
Type
Article in International Scientific Journal
Year
2002
Authors
Susana Margarida Figueiredo de Sousa Borges Furtado
(Author)
FEP
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Charles R. Johnson
(Author)
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Journal
Vol. 348
Pages: 193-202
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-P1B
Abstract (EN): A matrix B is an element of M-n is C-S equivalent to A is an element of M-n if B is both congruent and similar to A. We study the question of how many unitary similarity classes lie in the C-S equivalence class of a given matrix A. The case of singular A is reduced to the nonsingular case in general, and we give a complete solution to the problem in case A is normal. Differences between the normal and general cases are noted.
Language: English
Type (Professor's evaluation): Scientific
No. of pages: 10
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