Yet another polynomial preconditioner for the conjugate gradient algorithm
type: Item
instance of: scholarly article
title: Yet another polynomial preconditioner for the conjugate gradient algorithm
zbMATH Open document ID: 0732.65020
DOI: 10.1016/0024-3795(91)90385-A
author: Dianne P. O'Leary
published in: Linear Algebra and its Applications
publication date: 1991-01-01T00:00:00Z
review text: The author discusses an adaptive technique for constructing preconditioners for the conjugate gradient algorithm which is based on the conjugate gradient residual polynomial. She presents an algorithm and results of numerical experiments showing that there are problems for which the method presented can compete with Chebyshev or least square polynomial preconditioners.
Mathematics Subject Classification ID: 65F10
Mathematics Subject Classification ID: 65F35
zbMATH DE Number: 4211360
zbMATH Keywords: conjugate gradient algorithm
zbMATH Keywords: numerical experiments
zbMATH Keywords: Chebyshev or least square polynomial preconditioners
reviewed by: Z. Dostál
MaRDI profile type: Publication
cites work: m-Step Preconditioned Conjugate Gradient Methods
cites work: Adaptive polynomial preconditioning for Hermitian indefinite linear systems
cites work: Block Preconditioning for the Conjugate Gradient Method
cites work: Q3727305
cites work: Approximating the inverse of a matrix for use in iterative algorithms on vector processors
cites work: Methods of conjugate gradients for solving linear systems
cites work: Polynomial Preconditioners for Conjugate Gradient Calculations
cites work: An Iterative Solution Method for Linear Systems of Which the Coefficient Matrix is a Symmetric M-Matrix
cites work: A Hybrid GMRES Algorithm for Nonsymmetric Linear Systems
cites work: Solution of Sparse Indefinite Systems of Linear Equations
cites work: Q3262525
cites work: Practical Use of Polynomial Preconditionings for the Conjugate Gradient Method
cites work: Q5732583
full work available at URL: 0024-3795(91)90385-a
OpenAlex ID: W2168224303
description: scientific article; zbMATH DE number 4211360