Extension of the Lanczos and CGS methods to systems of nonlinear equations
type: Item
instance of: scholarly article
title: Extension of the Lanczos and CGS methods to systems of nonlinear equations
zbMATH Open document ID: 0857.65057
DOI: 10.1016/0377-0427(95)00032-1
author: Sonia Krzyworzcka
published in: Journal of Computational and Applied Mathematics
publication date: 1996-10-13T00:00:00Z
review text: Some nonlinear methods induced by linear ones, such as the Lanczos and the CGS methods, are considered. Section 2 points out the link between the nonlinear extensions and the Lanczos and the CGS methods, and presents the implementation of these extensions. A sufficient condition for quadratic convergence of the nonlinear extensions is proved in Section 3. Some numerical examples illustrating these nonlinear extensions are given in the last section.
Mathematics Subject Classification ID: 65H10
zbMATH DE Number: 908410
zbMATH Keywords: systems of nonlinear equations
zbMATH Keywords: Lanczos method
zbMATH Keywords: CGS methods
zbMATH Keywords: quadratic convergence
zbMATH Keywords: numerical examples
reviewed by: Shenquan Xie
describes a project that uses: CGS
MaRDI profile type: Publication
full work available at URL: 0377-0427(95)00032-1
OpenAlex ID: W2064075186
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description: scientific article; zbMATH DE number 908410