Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/37920
Título: | Minimization problems for certain structured matrices |
Autor(es): | Zhongyun Liu Ralha, Rui Zhang, Yulin Ferreira, Carla |
Palavras-chave: | Least-squares approximation Centralizer of J Moore- Penrose inverse Anticentralizer of J |
Data: | Out-2015 |
Editora: | International Linear Algebra Society |
Revista: | Electronic Journal of Linear Algebra |
Resumo(s): | For given $Z,B\in \mathbb{ C}^{n\times k}$, the problem of finding $A\in \mathbb{C}^{n\times n}$, in some prescribed class ${\cal W}$, that minimizes $\|AZ-B\|$ (Frobenius norm) has been considered by different authors for distinct classes ${\cal W}$. Here, we study this minimization problem for two other classes which include the symmetric Hamiltonian, symmetric skew-Hamiltonian, real orthogonal symplectic and unitary conjugate symplectic matrices. We also consider (as others have done for other classes ${\cal W}$) the problem of minimizing $\|A-\tilde{A}\|$ where $\tilde{A}$ is given and $A$ is a solution of the previous problem. The key idea of our contribution is the reduction of each one of the above minimization problems to two independent subproblems in orthogonal subspaces of $\mathbb{C}^{n\times n}$. This is possible due to the special structures under consideration. We have developed MATLAB codes and present the numerical results of some tests. |
Tipo: | Artigo |
URI: | https://hdl.handle.net/1822/37920 |
DOI: | 10.13001/1081-3810.3144 |
ISSN: | 1081-3810 |
Versão da editora: | http://repository.uwyo.edu/ela/ |
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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minimization-problems_2015_final.pdf | 353,91 kB | Adobe PDF | Ver/Abrir |
Este trabalho está licenciado sob uma Licença Creative Commons