A new iterative method for many eigenpair partial derivatives
type: Item
instance of: scholarly article
title: A new iterative method for many eigenpair partial derivatives
zbMATH Open document ID: 1221.65096
author: Zhongyan Ma
author: Yaping Hu
author: Huiqing Xie
published in: Applied Mathematics and Computation
publication date: 2010-11-18T00:00:00Z
review text: Simple eigenvalues of matrices depending analytically on parameters also depend analytically on these parameters. In this paper a method to calculate the partial derivatives simultaneously is given. Convergence of this method is shown in the case that some smallest eigenvalues are calculated. The method given here is similar to a method given by \textit{R. C. E. Tan} and \textit{A. L. Andrew} [IMA J. Numer. Anal. 9, No. 1, 111--122 (1989; Zbl 0674.65014)], which calculates the largest eigenvalues. Several numerical examples are given.
Mathematics Subject Classification ID: 65F15
zbMATH DE Number: 5817285
zbMATH Keywords: partial derivatives of eigenpairs
zbMATH Keywords: iterative methods
zbMATH Keywords: standard eigenvalue problem
reviewed by: Ludwig Elsner
MaRDI profile type: Publication
full work available at URL: j.amc.2010.06.057
OpenAlex ID: W1996183750
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DOI: 10.1016/J.AMC.2010.06.057
description: scientific article; zbMATH DE number 5817285