The continued fraction methods for the solution of systems of linear equations
type: Item
instance of: scholarly article
title: The continued fraction methods for the solution of systems of linear equations
zbMATH Open document ID: 0537.65032
DOI: 10.1007/BF01934414
author: Gunhild Lindskog
published in: BIT
publication date: 1982-01-01T00:00:00Z
review text: A class of iterative methods for the computation of a minimal residual norm solution of a system of linear equations \(Ax=b\) is presented, where A is a rectangular matrix. Special cases of the method, i.e. special choices of the inner product and the search vectors used, include the classical conjugate gradient method and the modified conjugate gradient method minimizing the residual. A test example for the Laplacian model problem shows that the flexibility about the number and the direction of search vectors may result in better convergence properties.
Mathematics Subject Classification ID: 65F20
Mathematics Subject Classification ID: 65F10
Mathematics Subject Classification ID: 65N22
Mathematics Subject Classification ID: 35J05
zbMATH DE Number: 3854306
zbMATH Keywords: continued fraction methods
zbMATH Keywords: conjugate gradient methods
zbMATH Keywords: minimal residual norm solution
zbMATH Keywords: rectangular matrix
zbMATH Keywords: test example
zbMATH Keywords: Laplacian model problem
MaRDI profile type: Publication
cites work: Conjugate gradient type methods for unsymmetric and inconsistent systems of linear equations
cites work: Methods of conjugate gradients for solving linear systems
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description: scientific article; zbMATH DE number 3854306