Additive block diagonal preconditioning for block two-by-two linear systems of skew-Hamiltonian coefficient matrices
type: Item
instance of: scholarly article
title: Additive block diagonal preconditioning for block two-by-two linear systems of skew-Hamiltonian coefficient matrices
zbMATH Open document ID: 1267.65034
author: Fang Chen
author: Zeng-Qi Wang
author: Zhong-Zhi Bai
published in: Numerical Algorithms
publication date: 2013-04-12T00:00:00Z
full work available at URL: http://dspace.imech.ac.cn/handle/311007/47190
review text: The authors propose an additive block diagonal preconditioner for a class of block two-by-two systems of linear equations with certain skew-Hamiltonian coefficient matrices. They also derive expressions for the eigenvalues and eigenvectors of the preconditioned matrices and apply them to estimate the convergence rates for the preconditioned versions of GMRES and MINRES algorithms.
Mathematics Subject Classification ID: 65F08
Mathematics Subject Classification ID: 65F10
Mathematics Subject Classification ID: 65F50
Mathematics Subject Classification ID: 65K10
Mathematics Subject Classification ID: 49J20
zbMATH DE Number: 6153514
zbMATH Keywords: block two-by-two matrices
zbMATH Keywords: PMHSS iteration
zbMATH Keywords: block diagonal matrix
zbMATH Keywords: preconditioning
zbMATH Keywords: spectral properties
zbMATH Keywords: PDE-constrained optimization
zbMATH Keywords: skew-Hamiltonian coefficient matrices
zbMATH Keywords: eigenvalues
zbMATH Keywords: eigenvectors
zbMATH Keywords: convergence
zbMATH Keywords: GMRES and MINRES algorithms
reviewed by: Constantin Popa
MaRDI profile type: Publication
OpenAlex ID: W2160380407
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DOI: 10.1007/S11075-013-9696-9
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description: scientific article; zbMATH DE number 6153514