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https://hdl.handle.net/1822/11449| Título: | The jordan form problem for C=AB : the balanced, diagonalizable case |
| Autor(es): | Johnson, Charles R. Zhang Yulin |
| Palavras-chave: | Jordan form Matrix product Rank Null space null space, rank |
| Data: | 2010 |
| Editora: | World Scientific and Engineering Academy and Society (WSEAS) |
| Revista: | Asian-European Journal of Mathematics |
| Citação: | "Asian-European Journal of Mathematics". ISSN 1793-5571. 3:4 (2010) 609-623. |
| Resumo(s): | We consider a key case in the fundamental and substantial prob- lem of the possible Jordan canonical forms of A;B;C \in Mn(F) when C = AB. If A \in M2k(F) (respectively B;C \in M2k(F) ) is diagonalizable with two distinct eigenvalues a1; a2 (respectively b1; b2, and c1; c2), each with multiplicity k, and when C = AB, all possibilities for a1; a2; b1; b2; c1; c2 are characterized. The possibilities are much more restrictive than the ob- vious determinant condition: (a1a2b1b2)k = (c1c2)k allows. This is then used to settle the general, two eigenvalue per matrix, diagonalizable case of the Jordan form problem for C = AB. |
| Tipo: | Artigo |
| URI: | https://hdl.handle.net/1822/11449 |
| DOI: | 10.1142/S1793557110000477 |
| ISSN: | 1793-5571 |
| Arbitragem científica: | yes |
| Acesso: | Acesso aberto |
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