Rational approximations for ill-conditioned equation systems
type: Item
instance of: scholarly article
title: Rational approximations for ill-conditioned equation systems
zbMATH Open document ID: 1087.65029
published in: Applied Mathematics and Computation
publication date: 2006-02-07T00:00:00Z
review text: The authors present a class of fast iterative solvers for ill-conditioned symmetric and positive-definite systems. Their algorithms are based on the Showalter method of Padé approximants to the exponential function. Convergence results, together with numerical experiments are presented.
reviewed by: Constantin Popa
Mathematics Subject Classification ID: 65F10
zbMATH DE Number: 5004363
zbMATH Keywords: Iterative methods
zbMATH Keywords: fixed point iteration
zbMATH Keywords: Rational approximation
zbMATH Keywords: Padé approximants
zbMATH Keywords: Ill-conditioned systems
zbMATH Keywords: convergence
zbMATH Keywords: numerical experiments
author: Andreas Kirsche
author: Christine Böckmann
MaRDI profile type: Publication
full work available at URL: j.amc.2005.01.047
OpenAlex ID: W2076982106
cites work: Q3359644
cites work: Q4348514
cites work: Comparison results between Jacobi and other iterative methods
cites work: Improved convergence criteria for Jacobi and Gauss-Seidel iterations
cites work: Q4856607
cites work: Q5563037
DOI: 10.1016/J.AMC.2005.01.047
description: scientific article; zbMATH DE number 5004363