On incomplete block factorization methods of generalized SSOR type for \(H\)-matrices
type: Item
instance of: scholarly article
title: On incomplete block factorization methods of generalized SSOR type for \(H\)-matrices
zbMATH Open document ID: 0912.65020
DOI: 10.1016/0024-3795(92)90320-A
author: L. Yu Kolotilina
author: Ben Polman
published in: Linear Algebra and its Applications
publication date: 1993-05-16T00:00:00Z
review text: The authors develop existence and convergence theory for two types of preconditioners for \(H\)-matrices by proving similar results for related \(M\)-matrices. It is an improvement of some known results for \(M\)-matrices. The theory is based on certain assumptions which have to be satisfied by the sparse approximation rules used in the factorizations. Altough the assumptions necessary for the \(H\)-matrix case are stronger than for the \(M\)-matrix case, the obtained results for the \(H\)-matrices are at least as good as for the corresponding \(M\)-matrix. The proofs are done by straightforward calculations.
Mathematics Subject Classification ID: 65F10
Mathematics Subject Classification ID: 65F35
zbMATH DE Number: 166219
zbMATH Keywords: incomplete block factorization methods
zbMATH Keywords: convergence
zbMATH Keywords: preconditioners
zbMATH Keywords: \(H\)-matrices
zbMATH Keywords: \(M\)-matrices
zbMATH Keywords: symmetric successive overrelaxation (SSOR)
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 166219