| dc.creator | Pickmann Soto, Hubert Rohner | |
| dc.creator | Arela Pérez, Susana | |
| dc.creator | Egaña Arancibia, Juan Carlos | |
| dc.creator | Carrasco Olivera, Dante | |
| dc.date | 2019-10-22 | |
| dc.date.accessioned | 2019-11-14T12:01:18Z | |
| dc.date.available | 2019-11-14T12:01:18Z | |
| dc.identifier | https://www.revistaproyecciones.cl/article/view/3531 | |
| dc.identifier | 10.22199/issn.0717-6279-2019-04-0053 | |
| dc.identifier.uri | https://revistaschilenas.uchile.cl/handle/2250/113683 | |
| dc.description | We present a new construction of a symmetric arrow matrix from a particular spectral information: let λ1(n) be the minimal eigenvalue of the matrix and λj(j) ,j=1,2,...,n the maximales eigenvalues of all leading principal submatrices of the matrix. We use such a procedure the to construct a nonsymmetric arrow matrix from the same spectral information next to an eigenvector x(n)=(x1,x2, ,…,xn), so that (x(n),λn(n)) is an eigenpair of the matrix. Moreover our results generate an algorithmic procedure to compute a solution matrix.
| en-US |
| dc.format | application/pdf | |
| dc.language | eng | |
| dc.publisher | Universidad Católica del Norte. | es-ES |
| dc.relation | https://www.revistaproyecciones.cl/article/view/3531/3253 | |
| dc.rights | Derechos de autor 2019 Hubert Rohner Pickmann Soto, Susana Arela Pérez, Juan Carlos Egaña Arancibia, Dante Carrasco Olivera | es-ES |
| dc.rights | http://creativecommons.org/licenses/by/4.0 | es-ES |
| dc.source | Proyecciones. Journal of Mathematics; Vol 38 No 4 (2019); 811-828 | en-US |
| dc.source | Proyecciones. Revista de Matemática; Vol. 38 Núm. 4 (2019); 811-828 | es-ES |
| dc.source | 0717-6279 | |
| dc.source | 0716-0917 | |
| dc.subject | Arrow matrices | en-US |
| dc.subject | Symmetric and nonsymmetric matrix | en-US |
| dc.subject | Inverse eigenvalue problem | en-US |
| dc.subject | 65F15 | en-US |
| dc.subject | Eigenvalues, eigenvectors | en-US |
| dc.subject | 65F18 | en-US |
| dc.subject | Inverse eigenvalue problems | en-US |
| dc.subject | 15A18 | en-US |
| dc.title | On the inverse eigenproblem for symmetric and nonsymmetric arrowhead matrices | en-US |
| dc.type | info:eu-repo/semantics/article | |
| dc.type | info:eu-repo/semantics/publishedVersion | |
| dc.type | Artículo revisado por pares | es-ES |
| dc.type | text | en-US |
