Approximating the weighted pseudospectra of large matrices

被引：1

作者：

Astudillo, R. ^{[1
]}

Castillo, Z. ^{[1
]}

机构：

[1] Cent Univ Venezuela, Escuela Comp, Ctr Calculo Cient & Tecnol, Caracas, Venezuela

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2013年 / 57卷 / 9-10期

关键词：

Spectrum; Pseudospectrum; Weighted pseudospectrum; Arnoldi method; Weighted Arnoldi factorization; COMPUTATION;

D O I：

10.1016/j.mcm.2011.03.029

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In different applications it is necessary to compute the pseudospectra of matrices in an energy or weighted norm. In this work we develop a practical method to convert an Arnoldi factorization based on the Euclidean inner product into another Arnoldi factorization in a weighted inner product. We also propose how to use this approach to find a portion of the weighted pseudospectra of large matrices. Numerical results on different test problems are presented. (c) 2011 Elsevier Ltd. All rights reserved.

引用

页码：2169 / 2176

页数：8

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