Optimum strategy and nonstationary iterative methods for the solution of singular linear systems
type: Item
instance of: scholarly article
title: Optimum strategy and nonstationary iterative methods for the solution of singular linear systems
zbMATH Open document ID: 0635.65026
DOI: 10.1007/BF01400353
published in: Numerische Mathematik
publication date: 1987-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/133210
review text: Iterationsverfahren zur Lösung singulärer linearer Gleichungssysteme der Form \(x=Tx+c\) werden studiert. Ist 1 Ecke der konvexen Hülle der Eigenwerte von T und gilt index \((I-T)=1\), so wird folgendes für mehrere bekannte Iterationsverfahren gezeigt. Optimale Iterationsparameter für T erhält man als optimale Parameter für \(\tilde T,\) falls für die Spektren \(\sigma(T)\) und \(\sigma(\tilde T)\) gilt \(\sigma(\tilde T)= \sigma(T)\setminus \{1\}\). Einige Ausnahmen von dieser Regel werden aufgezeigt.
Mathematics Subject Classification ID: 65F10
zbMATH DE Number: 4034977
zbMATH Keywords: singulr linear system
zbMATH Keywords: nonstationary second order Chebyshev semi- iterative method
zbMATH Keywords: numerical examples
zbMATH Keywords: optimum parameters
zbMATH Keywords: semiconvergent method
zbMATH Keywords: stationary k-step method
zbMATH Keywords: AOR method
author: A. Hadjidimos
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4034977