Nonequivalence deflation for the solution of matrix latent value problems
type: Item
instance of: scholarly article
title: Nonequivalence deflation for the solution of matrix latent value problems
zbMATH Open document ID: 0841.65024
DOI: 10.1016/0024-3795(95)90004-7
author: Jong-Shenq Guo
author: Chern-Shuh Wang
author: Wen-Wei Lin
published in: Linear Algebra and its Applications
publication date: 1996-02-25T00:00:00Z
review text: Newton's method is usually used to solve nonlinear latent value problems. The deflation technique is required for finding another latent pair starting from a computed latent pair. In this paper, several deflation strategies are examined, and a nonequivalence deflation technique is developed. The major idea is transforming the computed latent root in the given region into infinity through a suitable nonequivalent transformation, while the other latent roots are preserved. Analysis and numerical examples show that the deflation combined with a suitable restarting initial guess is reliable and effective.
Mathematics Subject Classification ID: 65F15
zbMATH DE Number: 841725
zbMATH Keywords: eigenvalues
zbMATH Keywords: eigenvectors
zbMATH Keywords: Newton's method
zbMATH Keywords: deflation
zbMATH Keywords: latent root
zbMATH Keywords: numerical examples
reviewed by: Liu Xinguo
describes a project that uses: EISPACK
MaRDI profile type: Publication
full work available at URL: 0024-3795(95)90004-7
OpenAlex ID: W2092417254
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description: scientific article; zbMATH DE number 841725