A canonical form for nonderogatory matrices under unitary similarity
| Contribuinte(s) |
UNIVERSIDADE DE SÃO PAULO |
|---|---|
| Data(s) |
20/10/2012
20/10/2012
2011
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| Resumo |
A square matrix is nonderogatory if its Jordan blocks have distinct eigenvalues. We give canonical forms for (1) nonderogatory complex matrices up to unitary similarity, and (2) pairs of complex matrices up to similarity, in which one matrix has distinct eigenvalues. The types of these canonical forms are given by undirected and, respectively, directed graphs with no undirected cycles. (C) 2011 Elsevier Inc. All rights reserved. Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) CNPq[301743/2007-0] Fapesp[2010/50347-9] Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Fapesp[2010/07278-6] Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) |
| Identificador |
LINEAR ALGEBRA AND ITS APPLICATIONS, v.435, n.4, p.830-841, 2011 0024-3795 http://producao.usp.br/handle/BDPI/30646 10.1016/j.laa.2011.01.042 |
| Idioma(s) |
eng |
| Publicador |
ELSEVIER SCIENCE INC |
| Relação |
Linear Algebra and Its Applications |
| Direitos |
closedAccess Copyright ELSEVIER SCIENCE INC |
| Palavras-Chave | #Belitskii`s algorithm #Littlewood`s algorithm #Unitary similarity #Classification #Canonical matrices #Mathematics, Applied |
| Tipo |
article original article publishedVersion |
