Improvement on the bound of Hermite matrix polynomials
In this paper, we introduce an improved bound on the 2-norm of Hermite matrix polynomials. As a consequence, this estimate enables us to present and prove a matrix version of the Riemann-Lebesgue lemma for Fourier transforms. Finally, our theoretical results are used to develop a novel procedure for...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2011 |
| País: | España |
| Institución: | Universitat Politècnica de València (UPV) |
| Repositorio: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Idioma: | inglés |
| OAI Identifier: | oai:riunet.upv.es:10251/49137 |
| Acceso en línea: | https://riunet.upv.es/handle/10251/49137 |
| Access Level: | acceso abierto |
| Palabra clave: | 2-Norm bound Hermite matrix polynomials Riemann-Lebesgue matrix lemma Hermite matrix Lebesgue Matrix Matrix exponentials Numerical example Priori bounds Test matrix Theoretical result Fourier transforms Matrix algebra Polynomials MATEMATICA APLICADA TEORIA DE LA SEÑAL Y COMUNICACIONES |
| Sumario: | In this paper, we introduce an improved bound on the 2-norm of Hermite matrix polynomials. As a consequence, this estimate enables us to present and prove a matrix version of the Riemann-Lebesgue lemma for Fourier transforms. Finally, our theoretical results are used to develop a novel procedure for the computation of matrix exponentials with a priori bounds. A numerical example for a test matrix is provided. © 2010 Elsevier Inc. All rights reserved. |
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