Inverse eigenvalue problems and their associated approximation problems for matrices with J-(Skew) Centrosymmetry
The inverse problems play an important role in MEG reconstructions. In this paper, a partially described inverse eigenvalue problem and an associated optimal approximation problem for J-centrosymmetric matrices are considered respectively. It is shown under which conditions the inverse eigenproblem...
| Autor principal: | |
|---|---|
| Outros Autores: | , , |
| Formato: | conferencePaper |
| Idioma: | eng |
| Publicado em: |
2009
|
| Assuntos: | |
| Texto completo: | http://hdl.handle.net/1822/16926 |
| País: | Portugal |
| Oai: | oai:repositorium.sdum.uminho.pt:1822/16926 |
| Resumo: | The inverse problems play an important role in MEG reconstructions. In this paper, a partially described inverse eigenvalue problem and an associated optimal approximation problem for J-centrosymmetric matrices are considered respectively. It is shown under which conditions the inverse eigenproblem has a solution. An expression of its general solution is given. In case a solution of the inverse eigenproblem exists, the optimal approximation problem can be solved. The formula of its unique solution is given. Also, the case for J-skew centrosymmetric matrices is considered. |
|---|