Acceleration of extended Fibonacci sequences

DOI10.1016/0168-9274(86)90009-7zbMath0612.65002OpenAlexW4232666519MaRDI QIDQ1088368

Claude Brezinski, Alami Lembarki

Publication date: 1986

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0168-9274(86)90009-7

zbMATH Keywords

rate of convergenceconvergence accelerationAitken's delta square methodShank's transformationextended Fibonacci sequences

Mathematics Subject Classification ID

Extrapolation to the limit, deferred corrections (65B05)

Related Items (9)

Successive modifications of limit periodic continued fractions ⋮ Remarks to a definition of convergence acceleration illustrated by means of continued fractions \(K(a_ n/1)\) where \(a_ n\to 0\) ⋮ Acceleration of limit periodic continued fractions by the \(T_{+M}\) transformation ⋮ Rational approximations for the modified Bessel function of the second kind ⋮ The genesis and early developments of Aitken's process, Shanks' transformation, the \(\varepsilon\)-algorithm, and related fixed point methods ⋮ An extended Fibonacci sequence associated with the discrete hungry Lotka–Volterra system ⋮ Convergence acceleration during the 20th century ⋮ Index-doubling in sequences by Aitken extrapolation ⋮ On \(m\)-step Fibonacci sequence in discrete Lotka-Volterra system

Cites Work

• Accélération de la convergence en analyse numérique
• Aitken Sequences and Fibonacci Numbers
• On a Device for Computing the e m (S n ) Transformation
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