Discrete perturbation estimates for eigenpairs of Fredholm operator-valued functions

被引：4

作者：

Grubisic, Luka ^{[1
]}

Grbic, Antonia ^{[1
]}

机构：

[1] Univ Zagreb, Dept Math, Zagreb 10000, Croatia

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2015年 / 267卷

基金：

美国国家科学基金会;

关键词：

Nonlinear eigenvalue problems; Numerical methods; Contour integrals;

D O I：

10.1016/j.amc.2015.01.010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present perturbation estimates for eigenvalue and eigenvector approximations for a class of Fredholm operator-valued functions. Our approach is based on perturbation estimates for the generalized resolvents and the exponential convergence of the contour integration by the trapezoidal rule. We use discrete residual functions to estimate the resolvents a posteriori. Numerical experiments are also presented. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：632 / 647

页数：16

共 16 条

[1]

[Anonymous], 2003, N HOLLAND MATH STUDI

[2]

[Anonymous], 2013, APPROXIMATION THEORY

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