Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/37920
Registo completo
Campo DC | Valor | Idioma |
---|---|---|
dc.contributor.author | Zhongyun Liu | por |
dc.contributor.author | Ralha, Rui | por |
dc.contributor.author | Zhang, Yulin | por |
dc.contributor.author | Ferreira, Carla | por |
dc.date.accessioned | 2015-11-03T11:31:00Z | - |
dc.date.available | 2015-11-03T11:31:00Z | - |
dc.date.issued | 2015-10 | - |
dc.date.submitted | 2014-07-14 | - |
dc.identifier.issn | 1081-3810 | por |
dc.identifier.uri | https://hdl.handle.net/1822/37920 | - |
dc.description.abstract | 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. | por |
dc.description.sponsorship | National Natural Science Foundation of China, no. 11371075. | por |
dc.language.iso | eng | por |
dc.publisher | International Linear Algebra Society | por |
dc.relation | info:eu-repo/grantAgreement/FCT/5876/135888/PT | por |
dc.rights | openAccess | por |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | por |
dc.subject | Least-squares approximation | por |
dc.subject | Centralizer of J | por |
dc.subject | Moore- Penrose inverse | por |
dc.subject | Anticentralizer of J | por |
dc.title | Minimization problems for certain structured matrices | por |
dc.type | article | por |
dc.peerreviewed | yes | por |
dc.relation.publisherversion | http://repository.uwyo.edu/ela/ | por |
sdum.publicationstatus | published | por |
oaire.citationStartPage | 613 | por |
oaire.citationEndPage | 631 | por |
oaire.citationTitle | Electronic Journal of Linear Algebra | por |
oaire.citationVolume | 30 | por |
dc.identifier.doi | 10.13001/1081-3810.3144 | por |
dc.subject.fos | Ciências Naturais::Matemáticas | por |
dc.subject.wos | Science & Technology | por |
sdum.journal | Electronic Journal of Linear Algebra | por |
Aparece nas coleções: | CMAT - Artigos em revistas com arbitragem / Papers in peer review journals |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
---|---|---|---|---|
minimization-problems_2015_final.pdf | 353,91 kB | Adobe PDF | Ver/Abrir |
Este trabalho está licenciado sob uma Licença Creative Commons