An adaptive Chebyshev iterative method for nonsymmetric linear systems based on modified moments
type: Item
instance of: scholarly article
title: An adaptive Chebyshev iterative method for nonsymmetric linear systems based on modified moments
zbMATH Open document ID: 0796.65033
author: Gene H. Golub
author: Daniela Calvetti
author: Lothar Reichel
published in: Numerische Mathematik
publication date: 1994-10-10T00:00:00Z
review text: Three term recurrence relations in the Krylov space are considered when a linear system of equations with a nonsymmetric matrix \(A\) is to be solved. If the spectrum of \(A\) lies in an ellipse whose width is small, when compared with its distance from the origin, relations with fixed parameters may be used. Otherwise adaptive coefficients which depend on some modified moments are recommended. The connection with the nonsymmetric Lanczos method is discussed.
reviewed by: D. Braess
Mathematics Subject Classification ID: 65F10
zbMATH DE Number: 569174
zbMATH Keywords: adaptive Chebyshev iterative method
zbMATH Keywords: nonsymmetric conjugate gradients
zbMATH Keywords: three term recurrence relations
zbMATH Keywords: Krylov space
zbMATH Keywords: nonsymmetric Lanczos method
MaRDI profile type: Publication
full work available at URL: s002110050016
OpenAlex ID: W1971436650
DOI: 10.1007/S002110050016
description: scientific article; zbMATH DE number 569174