Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/11391
Título: | On inverse eigenvalue problems for block Toeplitz matrices with Toeplitz blocks |
Autor(es): | Zhang Yulin Liu Zhongyun Ferreira, Carla Ralha, Rui |
Palavras-chave: | Block Toeplitz matrix Newton method Inverse eigenvalue problem Generalized K-centrosymmetric matrix |
Data: | 2010 |
Editora: | Elsevier |
Revista: | Applied Mathematics and Computation |
Citação: | "Applied Mathematics and Computation". ISSN 0096-3003. 216 (2010) 1819-1830. |
Resumo(s): | We propose an algorithm for solving the inverse eigenvalue problem for real symmetric block Toeplitz matrices with symmetric Toeplitz blocks. It is based upon an algorithm which has been used before by others to solve the inverse eigenvalue problem for general real symmetric matrices and also for Toeplitz matrices. First we expose the structure of the eigenvectors of the so-called generalized centrosymmetric matrices. Then we explore the properties of the eigenvectors to derive an efficient algorithm that is able to deliver a matrix with the required structure and spectrum. We have implemented our ideas in a Matlab code. Numerical results produced with this code are included. |
Tipo: | Artigo |
URI: | https://hdl.handle.net/1822/11391 |
DOI: | 10.1016/j.amc.2009.12.023 |
ISSN: | 0096-3003 |
Versão da editora: | www.elsevier.com |
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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RSBT_final.pdf | 223,97 kB | Adobe PDF | Ver/Abrir |