Perturbations on the subdiagonals of Toeplitz matrices
| Audiencia | Público en general | es_ES |
| Cobertura | México | es_ES |
| Fecha de ingreso | 2026-10-05T16:32:39Z | |
| Fecha de publicación | 2011-01-01 | |
| Resumen | Let L be an Hermitian linear functional defined on the linear space of Laurent polynomials. It is very well known that the Gram matrix of the associated bilinear functional in the linear space of polynomials is a Toeplitz matrix. In this contribution we analyze some linear spectral transforms of L such that the corresponding Toeplitz matrix is the result of the addition of a constant in a subdiagonal of the initial Toeplitz matrix. We focus our attention in the analysis of the quasi-definite character of the perturbed linear functional as well as in the explicit expressions of the new monic orthogonal polynomial sequence in terms of the first one. (C) 2010 Published by Elsevier Inc. | es_ES |
| Doi | https://doi.org/10.1016/j.laa.2010.11.037 | es_ES |
| URI | https://riuat.uat.edu.mx/handle/123456789/4487 | |
| Idioma | en | es_ES |
| Editorial | ELSEVIER SCIENCE INC | es_ES |
| Relación | Linear Algebra and Its Applications | es_ES |
| URL relacionado | https://doi.org/10.1016/j.laa.2010.11.037 | es_ES |
| Derechos | Acceso abierto (Metadatos de producción científica) | es_ES |
| Licencia | http://purl.org/coar/access_right/c_abf2 | es_ES |
| Fuente | Linear Algebra and Its Applications | |
| Palabra clave | Hermitian linear functionals | es_ES |
| Palabra clave | Caratheodory functions | es_ES |
| Palabra clave | Laurent polynomials | es_ES |
| Palabra clave | Orthogonal polynomials | es_ES |
| Palabra clave | Toeplitz matrices | es_ES |
| Título | Perturbations on the subdiagonals of Toeplitz matrices | es_ES |
| Tipo | Artículo | es_ES |
| Arbitrado | Ha sido Arbitrado | es_ES |
| Autor | Castillo, K. | |
| Autor | Garza, L. | |
| Autor | Marcellan, F. | |
| Autor | Castillo, K. | es_ES |
| Autor | Garza, L. | es_ES |
| Autor | Marcellan, F. | es_ES |
| Institución | Universidad Autónoma de Tamaulipas | |
| Institución | Universidad Autónoma de Tamaulipas | es_ES |
| Número | 6 | es_ES |
| Rango de páginas | 1563-1579 | es_ES |
| URL relacionada | https://doi.org/10.1016/j.laa.2010.11.037 | |
| Tipo de artículo | Indexado | |
| Tipo de artículo | Indexado | es_ES |
| Volumen | 434 | es_ES |