Semiconvergence of nonnegative splittings for singular matrices
type: Item
instance of: scholarly article
title: Semiconvergence of nonnegative splittings for singular matrices
zbMATH Open document ID: 0947.65035
author: Yongzhong Song
published in: Numerische Mathematik
publication date: 2000-10-22T00:00:00Z
review text: The author discusses semiconvergence of matrix splitting methods for solving iteratively singular linear systems. The concepts of quasi-regular and quasi-nonnegative splitting are introduced and equivalent conditions for the semiconvergence of the method are proved. The semiconvergence of the power method for solving a Markov chain is derived. The monotone convergence for quasi-nonnegative splitting is also discussed. The results obtained are illustrated by some examples.
Mathematics Subject Classification ID: 65F10
Mathematics Subject Classification ID: 65C40
Mathematics Subject Classification ID: 60J22
zbMATH DE Number: 1435970
zbMATH Keywords: singular linear system
zbMATH Keywords: matrix splitting methods
zbMATH Keywords: numerical examples
zbMATH Keywords: quasi-regular splitting
zbMATH Keywords: quasi-nonnegative splitting
zbMATH Keywords: semiconvergence
zbMATH Keywords: power method
zbMATH Keywords: Markov chain
reviewed by: Iulian Coroian
MaRDI profile type: Publication
full work available at URL: s002110050479
OpenAlex ID: W2014171274
DOI: 10.1007/S002110050479
description: scientific article; zbMATH DE number 1435970