Minimization properties and short recurrences
type: Item
instance of: scholarly article
title: Minimization properties and short recurrences
zbMATH Open document ID: 0939.65052
DOI: 10.1016/S0168-9274(98)00109-3
author: Boris Wagner
author: Rüdiger Weiss
published in: Applied Numerical Mathematics
publication date: 2000-07-12T00:00:00Z
review text: The paper deals with the problem of solving the linear system \(Ax= b\), where \(A\) is a square, nonsingular and nonsymmetric matrix of dimension \(n\). Step-dependent preconditioned conjugate Krylov subspace methods are used to obtain orthogonalization methods with a short recurrence and a minimization property in a fixed form. Numerical tests for the recurrence length \(l=5\) are given and the performances of the proposed algorithms are compared with state-of-the-art methods.
Mathematics Subject Classification ID: 65F10
Mathematics Subject Classification ID: 65F35
zbMATH DE Number: 1311330
zbMATH Keywords: conjugate gradients
zbMATH Keywords: preconditioning
zbMATH Keywords: numerical examples
zbMATH Keywords: Krylov subspace methods
zbMATH Keywords: orthogonalization methods
reviewed by: Florica Luban
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1311330