Iterative methods for large continuation problems
type: Item
instance of: scholarly article
title: Iterative methods for large continuation problems
zbMATH Open document ID: 0974.65052
DOI: 10.1016/S0377-0427(00)00405-2
published in: Journal of Computational and Applied Mathematics
publication date: 2001-11-29T00:00:00Z
review text: This is a nice summary of continuation methods for nonlinear parameter dependent problems and implicitly restarted block-Lanczos method for computation of a few eigenvalues and the associated eigenvectors of a symmetric matrix. By combining these techniques the authors developed algorithms for path following around a turning point, detecting singular points on the solution path and for branch switching at a bifurcation point. The algorithms are proposed for large continuation problems and are illustrated by numerical examples.
reviewed by: Zhen Mei
Mathematics Subject Classification ID: 65H10
Mathematics Subject Classification ID: 65H20
Mathematics Subject Classification ID: 65H17
zbMATH DE Number: 1546548
zbMATH Keywords: continuation problem
zbMATH Keywords: iteration method
zbMATH Keywords: eigenvalue
zbMATH Keywords: singular point
zbMATH Keywords: continuation methods
zbMATH Keywords: nonlinear parameter dependent problems
zbMATH Keywords: restarted block-Lanczos method
zbMATH Keywords: eigenvectors
zbMATH Keywords: symmetric matrix
zbMATH Keywords: turning point
zbMATH Keywords: algorithms
zbMATH Keywords: numerical examples
author: Daniela Calvetti
author: Lothar Reichel
describes a project that uses: eigs
describes a project that uses: IRAM
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1546548