Approximate inverses of multidiagonal matrices and application to the block PCG method
type: Item
instance of: scholarly article
title: Approximate inverses of multidiagonal matrices and application to the block PCG method
zbMATH Open document ID: 0827.65033
DOI: 10.1007/BF01732978
author: Guangyao Lei
author: D. J. Evans
published in: BIT
publication date: 1995-07-13T00:00:00Z
review text: The authors consider the \(p\)-order truncated elimination to compute approximate inverse matrices of diagonally dominant matrices. For \(p\) a positive integer, the \(p\)-order truncated elimination neglects all the increments of order \(S\) when \(S > p\) in the process of the elimination which results in the \(p\)-order approximate inverse matrix for a multidiagonal band matrix. This method is applied to block preconditioned conjugate gradient method calculations. Numerical examples are given to show the good behavior of the method.
Mathematics Subject Classification ID: 65F05
Mathematics Subject Classification ID: 65F10
Mathematics Subject Classification ID: 65F35
zbMATH DE Number: 773823
zbMATH Keywords: numerical examples
zbMATH Keywords: truncated elimination
zbMATH Keywords: inverse matrices
zbMATH Keywords: diagonally dominant matrices
zbMATH Keywords: multidiagonal band matrix
zbMATH Keywords: block preconditioned conjugate gradient method
reviewed by: Liu Xinguo
MaRDI profile type: Publication
cites work: Block Preconditioning for the Conjugate Gradient Method
cites work: On computing INV block preconditionings for the conjugate gradient method
cites work: Incomplete block matrix factorization preconditioning methods. The ultimate answer?
cites work: Incomplete lu decompositions based on order matrices
cites work: Further developments of iccg and miccg
full work available at URL: https://doi.org/10.1007/bf01732978
OpenAlex ID: W2049089479
description: scientific article; zbMATH DE number 773823