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https://hdl.handle.net/1822/11165| Título: | On the number of invariant factors of matrix products |
| Autor(es): | Sá, E. Marques de Zhang Yu Lin |
| Palavras-chave: | Matrices Similarity Rank Invariant polynomials nilpotent matrices invariant factors |
| Data: | 2005 |
| Editora: | Elsevier 1 |
| Revista: | Linear Algebra and Its Applications |
| Citação: | “Linear Algebra and Its Applications”. ISSN 0024-3795. 401 (May 2005) 393-399. |
| Resumo(s): | In the first part of the paper we determine bounds for the ranks of certain submatrices of square matrices taken from a prescribed similarity class. Then we discuss the concept of offdiagonal indices (defined in Section 1) which, very roughly speaking, measure, for each given integer s, how far we have to go off the main diagonal of a square matrix, to find an s s nonzero minor. Some open problems are stated. |
| Tipo: | Artigo |
| URI: | https://hdl.handle.net/1822/11165 |
| DOI: | 10.1016/j.laa.2004.10.029 |
| ISSN: | 0024-3795 |
| Versão da editora: | www.elsevier.com |
| Arbitragem científica: | yes |
| Acesso: | Acesso aberto |
| Aparece nas coleções: |
Ficheiros deste registo:
| Ficheiro | Descrição | Tamanho | Formato | |
|---|---|---|---|---|
| InvFact2.pdf | 132,78 kB | Adobe PDF | Ver/Abrir |
