Optimal acceleration of convergence
type: Item
instance of: scholarly article
title: Optimal acceleration of convergence
zbMATH Open document ID: 1013.65002
author: Arieh Iserles
author: Xiaoyan Liu
published in: Methods and Applications of Analysis
publication date: 2002-06-19T00:00:00Z
review text: The authors investigate the quadratic model \((b^Tu+u^TCu)/a^Tu\), which generalizes the Shanks transformations and Padé model, to accelerate the convergence of the sequence \(\{ u_k \}_k\). An iterative formula for the construction of the matrices \(C\) is given and the rate of convergence is discussed.
Mathematics Subject Classification ID: 65B05
Mathematics Subject Classification ID: 41A21
Mathematics Subject Classification ID: 40A05
zbMATH DE Number: 1757334
zbMATH Keywords: Shanks transformation
zbMATH Keywords: Padé model
zbMATH Keywords: rate of convergence
zbMATH Keywords: convergence acceleration
zbMATH Keywords: quadratic model
zbMATH Keywords: iterative formula
reviewed by: Nicolae Ţăndăreanu
MaRDI profile type: Publication
DOI: 10.4310/MAA.2001.V8.N1.A2
description: scientific article; zbMATH DE number 1757334