A general projection algorithm for solving systems of linear equations
type: Item
instance of: scholarly article
title: A general projection algorithm for solving systems of linear equations
zbMATH Open document ID: 0783.65026
DOI: 10.1007/BF02145753
author: Khalide Jbilou
published in: Numerical Algorithms
publication date: 1993-07-18T00:00:00Z
review text: A general projection algorithm is presented which can be used to implement a variety of known extrapolation methods (such as minimal polynomial, reduced rank, modified minimal polynomial extrapolation). This algorithm is then applied to the solution of linear equations and thereby some known projection methods (e.g., Orthodir, the orthogonal residual method, the generalized conjugate residual method) are obtained.
Mathematics Subject Classification ID: 65F10
Mathematics Subject Classification ID: 65B05
zbMATH DE Number: 202481
zbMATH Keywords: projection algorithm
zbMATH Keywords: extrapolation methods
zbMATH Keywords: minimal polynomial
zbMATH Keywords: reduced rank
zbMATH Keywords: projection methods
zbMATH Keywords: Orthodir
zbMATH Keywords: orthogonal residual method
zbMATH Keywords: generalized conjugate residual method
reviewed by: Michael Eiermann
MaRDI profile type: Publication
cites work: Généralisations de la transformation de Shanks, de la table de Padé et de l'\(\varepsilon\)-algorithme
cites work: Recursive interpolation, extrapolation and projection
cites work: Other manifestations of the Schur complement
cites work: A Polynomial Extrapolation Method for Finding Limits and Antilimits of Vector Sequences
cites work: Variational Iterative Methods for Nonsymmetric Systems of Linear Equations
cites work: Orthogonal Error Methods
cites work: Recursive algorithms for vector extrapolation methods
cites work: Q5528098
cites work: Some results about vector extrapolation methods and related fixed-point iterations
cites work: Analysis of some vector extrapolation methods for solving systems of linear equations
cites work: Convergence acceleration for the iterative solution of the equations X = AX + f
cites work: Acceleration of the convergence of iterative processes and a method of solving systems of non-linear equations
cites work: Krylov Subspace Methods for Solving Large Unsymmetric Linear Systems
cites work: Extrapolation vs. projection methods for linear systems of equations
cites work: Convergence and Stability Properties of Minimal Polynomial and Reduced Rank Extrapolation Algorithms
cites work: Acceleration of Convergence of Vector Sequences
cites work: Extrapolation Methods for Vector Sequences
cites work: Generalized conjugate-gradient acceleration of nonsymmetrizable iterative methods
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description: scientific article; zbMATH DE number 202481