Acceleration of extended Fibonacci sequences
type: Item
instance of: scholarly article
title: Acceleration of extended Fibonacci sequences
zbMATH Open document ID: 0612.65002
DOI: 10.1016/0168-9274(86)90009-7
author: Claude Brezinski
author: Alami Lembarki
published in: Applied Numerical Mathematics
publication date: 1986-01-01T00:00:00Z
review text: The authors discuss convergence acceleration of the sequence defined by \(C_ 0=1\), \(C_{n+1}=1+a/C_ n\), \(n=0,1,..\). where a is a nonzero complex number. Some results applying Aitken's \(\Delta^ 2\) process and Shank's transformation to this sequence are given. The rate of convergence is studied showing the superiority of Aitken's process.
Mathematics Subject Classification ID: 65B05
zbMATH DE Number: 3990729
zbMATH Keywords: extended Fibonacci sequences
zbMATH Keywords: Aitken's delta square method
zbMATH Keywords: convergence acceleration
zbMATH Keywords: Shank's transformation
zbMATH Keywords: rate of convergence
MaRDI profile type: Publication
full work available at URL: 0168-9274(86)90009-7
OpenAlex ID: W4232666519
cites work: Accélération de la convergence en analyse numérique
cites work: Q3700663
cites work: Aitken Sequences and Fibonacci Numbers
cites work: Q3228715
cites work: On a Device for Computing the e m (S n ) Transformation
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description: scientific article; zbMATH DE number 3990729