Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/20735
Título: | Structure-preserving schur methods for computing square roots of real skew-hamiltonian matrices |
Autor(es): | Liu Zhongyun Zhang Yulin Ferreira, Carla Ralha, Rui |
Palavras-chave: | Matrix square root Skew-Hamiltonian Schur decomposition Structure-preserving algorithm |
Data: | Set-2012 |
Editora: | International Linear Algebra Society |
Revista: | Electronic Journal of Linear Algebra |
Resumo(s): | The contribution in this paper is two-folded. First, a complete characterization is given of the square roots of a real nonsingular skew-Hamiltonian matrix W. Using the known fact that every real skew-Hamiltonian matrix has infinitely many real Hamiltonian square roots, such square roots are described. Second, a structure-exploiting method is proposed for computing square roots of W, skew-Hamiltonian and Hamiltonian square roots. Compared to the standard real Schur method, which ignores the structure, this method requires significantly less arithmetic. |
Tipo: | Artigo |
URI: | https://hdl.handle.net/1822/20735 |
ISSN: | 1081-3810 |
Versão da editora: | http://www.math.technion.ac.il/ |
Arbitragem científica: | yes |
Acesso: | Acesso aberto |
Aparece nas coleções: | CMAT - Artigos em revistas com arbitragem / Papers in peer review journals |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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vol23_pp845-865.pdf | Documento principal | 240,15 kB | Adobe PDF | Ver/Abrir |