On the acceleration of limit periodic continued fractions
type: Item
instance of: scholarly article
title: On the acceleration of limit periodic continued fractions
zbMATH Open document ID: 0566.65002
DOI: 10.1007/BF01389761
author: H. Wietschorke
author: Wilhelm Niethammer
published in: Numerische Mathematik
publication date: 1984-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/132924
review text: For \(a\in {\mathbb{C}}\) and \(a>-1/4\), \(a\neq 0\), a modification of a limit periodic continued fraction for accelerating the convergence is known. This acceleration remains modest if this convergence is only logarithmic. The authors propose to apply an Euler summability method to the series equivalent to the continuous fraction.
Mathematics Subject Classification ID: 65B10
Mathematics Subject Classification ID: 40A15
Mathematics Subject Classification ID: 40G05
zbMATH DE Number: 3903828
zbMATH Keywords: limit periodic continued fractions
zbMATH Keywords: Euler summability method
zbMATH Keywords: convergence acceleration
zbMATH Keywords: logarithmic convergence
MaRDI profile type: Publication
cites work: The Use of Attractive Fixed Points in Accelerating the Convergence of Limit-Periodic Continued Fractions
cites work: Q4137395
cites work: Q5787490
cites work: Numerical application of Euler's series transformation and its generalizations
cites work: Q3241331
cites work: Q3961719
cites work: Sequence transformations and their applications
cites work: Q5597043
description: scientific article; zbMATH DE number 3903828