Acceleration of convergence of interval sequences
type: Item
instance of: scholarly article
title: Acceleration of convergence of interval sequences
zbMATH Open document ID: 0821.65001
DOI: 10.1016/0377-0427(92)00120-X
author: V. Pereyra
published in: Journal of Computational and Applied Mathematics
publication date: 1995-10-08T00:00:00Z
review text: The author defines acceleration of convergence of a sequence of intervals using the segment limit introduced by \textit{Bl. Sendov} [Hausdorff approximations (1990; Zbl 0715.41001); for the Russian original see (1979; Zbl 0416.41002)]. The Aitken-\(\Delta^ 2\) acceleration process has been generalized for interval sequences. A characterization of the acceleration is given for the case when the interval sequence converges to a degenerate interval.
Mathematics Subject Classification ID: 65B05
Mathematics Subject Classification ID: 65G30
zbMATH DE Number: 699107
zbMATH Keywords: Aitken-\(\Delta^ 2\) acceleration
zbMATH Keywords: acceleration of convergence
zbMATH Keywords: sequence of intervals
zbMATH Keywords: segment limit
zbMATH Keywords: degenerate interval
reviewed by: Svetoslav Markov
MaRDI profile type: Publication
cites work: Q4179737
cites work: Convergence acceleration of number-machine sequences
cites work: Q5614773
cites work: Q5566070
cites work: Q3999282
full work available at URL: 0377-0427(92)00120-x
OpenAlex ID: W2051936669
description: scientific article; zbMATH DE number 699107