Convergence and acceleration properties for the vector \(\epsilon\)- algorithm
type: Item
instance of: scholarly article
title: Convergence and acceleration properties for the vector \(\epsilon\)- algorithm
zbMATH Open document ID: 0784.65002
DOI: 10.1007/BF02141939
author: Ana C. Matos
published in: Numerical Algorithms
publication date: 1993-12-06T00:00:00Z
review text: The author gives some acceleration properties for the vector \(\varepsilon\)-algorithm. Also, he describes the error sequence \((x_ n- x)\) for a family of sequences \((x_ n)\) and obtains the speed of convergence of the algorithm for them.
reviewed by: Antonio López-Carmona
Mathematics Subject Classification ID: 65B05
zbMATH DE Number: 440295
zbMATH Keywords: convergence acceleration
zbMATH Keywords: vector epsilon-algorithm
MaRDI profile type: Publication
cites work: Généralisations de la transformation de Shanks, de la table de Padé et de l'\(\varepsilon\)-algorithme
cites work: Particular rules for the vector \(\varepsilon\)-algorithm
cites work: Vector valued rational interpolants. I
cites work: Q3844558
cites work: Convergence and stability analyses for some vector extrapolation methods in the presence of defective iteration matrices
cites work: Acceleration of Convergence of Vector Sequences
cites work: Computing Derivatives of Eigensystems by the Vector -Algorithm
cites work: Acceleration Techniques for Iterated Vector and Matrix Problems
description: scientific article; zbMATH DE number 440295