Approximation of multilevel Toeplitz matrices via multilevel trigonometric matrix spaces and applications to preconditioning
type: Item
instance of: scholarly article
title: Approximation of multilevel Toeplitz matrices via multilevel trigonometric matrix spaces and applications to preconditioning
zbMATH Open document ID: 0947.65052
published in: Calcolo
publication date: 2000-11-02T00:00:00Z
review text: The results presented in this paper appear to serve as an unifying tool for dealing with the preconditioning problem for large dimensions, by devising preconditioners in any multilevel trigonometric linear space of matrices. Some clustering properties of the preconditioned matrices are proved which allow one to solve efficiently, by means of the preconditioned conjugate gradient type algorithms, linear systems or least squares problems. Some numerical results are reported.
Mathematics Subject Classification ID: 65F35
Mathematics Subject Classification ID: 65F30
Mathematics Subject Classification ID: 65F20
zbMATH DE Number: 1398725
zbMATH Keywords: multilevel Toeplitz matrices
zbMATH Keywords: multilevel trigonometric matrix spaces
zbMATH Keywords: preconditioning
zbMATH Keywords: conjugate gradient type algorithms
zbMATH Keywords: linear systems
zbMATH Keywords: least squares
zbMATH Keywords: numerical results
author: Stefano Serra Capizzano
reviewed by: Florica Luban
MaRDI profile type: Publication
full work available at URL: s100920050030
OpenAlex ID: W2026918876
DOI: 10.1007/S100920050030
description: scientific article; zbMATH DE number 1398725