Improvement on the bound of Hermite matrix polynomials |
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| Authors: | Emilio Defez Jorge Sastre |
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| Institution: | a Instituto de Matemática Multidisciplinar, Universidad Politécnica de Valencia, Camino de Vera, s/n, 46022 Valencia, Spain
b Instituto de Telecomunicaciones y Aplicaciones Multimedia, Universidad Politécnica de Valencia, Camino de Vera, s/n, 46022 Valencia, Spain |
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| Abstract: | 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. |
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| Keywords: | 15-04 33-04 34A30 |
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