Improvement on the bound of Hermite matrix polynomials

被引：4

作者：

Defez, Emilio ^{[1
]}

Tung, Michael M. ^{[1
]}

Sastre, Jorge ^{[2
]}

机构：

[1] Univ Politecn Valencia, Inst Matemat Multidisciplinar, Valencia 46022, Spain

[2] Univ Politecn Valencia, Inst Telecomunicac & Aplicac Multimedia, Valencia 46022, Spain

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2011年 / 434卷 / 08期

关键词：

Hermite matrix polynomials; Riemann-Lebesgue matrix lemma; 2-Norm bound; COMPUTE;

D O I：

10.1016/j.laa.2010.12.015

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：1910 / 1919

页数：10

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