Two-stage iterative methods for consistent Hermitian positive semidefinite systems
type: Item
instance of: scholarly article
title: Two-stage iterative methods for consistent Hermitian positive semidefinite systems
zbMATH Open document ID: 0932.65036
DOI: 10.1016/S0024-3795(99)00075-0
author: Hebing Wu
author: Zhongyun Liu
author: Zhi-Hao Cao
published in: Linear Algebra and its Applications
publication date: 1999-11-29T00:00:00Z
review text: Two-stage iterative methods for linear systems \(Ax=b\) can arise in the following way. First, a splitting \(A=M-N\) is performed. The auxiliary systems \(Mx_k=Nx_{k-1}+b\) may be approximately solved by an inner iteration based on a (second) splitting of \(M\). The iteration may be stationary or nonstationary. Algebraic properties are discussed. Moreover properties of two splittings are compared when the difference of the matrices for the two cases are positive semidefinite.
Mathematics Subject Classification ID: 65F10
zbMATH DE Number: 1371402
zbMATH Keywords: regular splittings
zbMATH Keywords: consistent Hermitian positive semidefinite systems
zbMATH Keywords: two-stage iterative methods
reviewed by: D. Braess
MaRDI profile type: Publication
Wikidata QID: Q126989222
full work available at URL: s0024-3795(99)00075-0
OpenAlex ID: W2057971894
description: scientific article; zbMATH DE number 1371402