dc.creator | Soto Montero, Ricardo Lorenzo | |
dc.date | 2017-04-20 | |
dc.identifier | http://www.revistaproyecciones.cl/article/view/1477 | |
dc.identifier | 10.4067/S0716-09172005000100006 | |
dc.description | Let Λ = {λ1, λ2,...,λn} be a set of complex numbers. The nonnegative inverse eigenvalue problem (NIEP) is the problem of determining necessary and sufficient conditions in order that Λ may be the spectrum of an entrywise nonnegative n × n matrix. If there exists a nonnegative matrix A with spectrum Λ we say that Λ is realized by A. If the matrix A must be symmetric we have the symmetric nonnegative inverse eigenvalue problem (SNIEP). This paper presents a simple realizability criterion by symmetric nonnegative matrices. The proof is constructive in the sense that one can explicitly construct symmetric nonnegative matrices realizing Λ. | es-ES |
dc.format | application/pdf | |
dc.language | spa | |
dc.publisher | Universidad Católica del Norte. | es-ES |
dc.relation | http://www.revistaproyecciones.cl/article/view/1477/1256 | |
dc.rights | Derechos de autor 2005 Proyecciones. Journal of Mathematics | es-ES |
dc.source | Proyecciones. Journal of Mathematics; Vol 24 No 1 (2005); 65-78 | en-US |
dc.source | Proyecciones. Revista de Matemática; Vol. 24 Núm. 1 (2005); 65-78 | es-ES |
dc.source | 0717-6279 | |
dc.source | 0716-0917 | |
dc.title | Realizability by symmetric nonnegative matrices | es-ES |
dc.type | info:eu-repo/semantics/article | |
dc.type | info:eu-repo/semantics/publishedVersion | |
dc.type | Artículo revisado por pares | es-ES |