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Variation in Jordan structure under congruence: the Nilpotent case

Title
Variation in Jordan structure under congruence: the Nilpotent case
Type
Article in International Scientific Journal
Year
2008
Authors
Susana Borges Furtado
(Author)
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Charles Johnson
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Jenna Le
(Author)
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Journal
Vol. 429
Pages: 1970-1982
ISSN: 0024-3795
Publisher: Elsevier
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Scientific classification
FOS: Natural sciences
Other information
Authenticus ID: P-003-VGK
Abstract (EN): For each congruence class containing a nilpotent matrix, all possible nilpotent Jordan structures occurring in that class are determined. The only two constraints are: a fixed number of Jordan blocks, determined by the rank of the class, and a minimum number of one-by-one blocks, determined by the dimension of the intersection of the null spaces of A and A*, for A representative of the class. An important tool, that may be of independent interest, is a unitary similarity version of the Jordan canonical form.
Language: English
Type (Professor's evaluation): Scientific
No. of pages: 13
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