A Rayleigh-Ritz preconditioner for the iterative solution to large scale nonlinear problems
type: Item
instance of: scholarly article
title: A Rayleigh-Ritz preconditioner for the iterative solution to large scale nonlinear problems
zbMATH Open document ID: 0908.65034
DOI: 10.1023/A:1016680306741
author: Christian Rey
author: Franck Risler
published in: Numerical Algorithms
publication date: 1999-03-04T00:00:00Z
review text: The authors present a new Rayleigh-Ritz preconditioner based on Krylov subspaces and superconvergence properties. The algorithm consists of a suitable reuse of a given set of Ritz vectors and Ritz values. The series of linear problems are solved by the conjugate gradient algorithm. The construction of the preconditioner is presented either for unconstrained or constrained problems. A practical application to domain decomposition methods for nonlinear elasticity problems is presented.
Mathematics Subject Classification ID: 65H10
Mathematics Subject Classification ID: 65N55
Mathematics Subject Classification ID: 65F35
Mathematics Subject Classification ID: 74B20
zbMATH DE Number: 1204234
zbMATH Keywords: sparse symmetric linear problems
zbMATH Keywords: conjugate gradient algorithm
zbMATH Keywords: Ritz values
zbMATH Keywords: Rayleigh matrix
zbMATH Keywords: Krylov subspace
zbMATH Keywords: superlinear convergence
zbMATH Keywords: Rayleigh-Ritz preconditioner
zbMATH Keywords: Ritz vectors
zbMATH Keywords: domain decomposition methods
zbMATH Keywords: nonlinear elasticity problems
reviewed by: Iulian Coroian
MaRDI profile type: Publication
full work available at URL: a:1016680306741
OpenAlex ID: W1540175172
description: scientific article; zbMATH DE number 1204234