Utilize este identificador para referenciar este registo: http://hdl.handle.net/1822/37920

 Título: Minimization problems for certain structured matrices Autor: Zhongyun LiuRalha, RuiYulin ZhangFerreira, Carla Palavras-chave: Least-squares approximationCentralizer of JMoore- Penrose inverseAnticentralizer of J Data: Out-2015 Editora: International Linear Algebra Society Resumo: 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: article URI: http://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: openAccess Aparece nas coleções: CMAT - Artigos com arbitragem/Papers with refereeing

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