Aitken-Steffensen acceleration and a new addition formula for Fibonacci numbers

DOI10.3792/pjaa.62.5zbMath0589.10011OpenAlexW2082956825MaRDI QIDQ1073821

Yoshinori Kametaka, Masaharu Arai, Kazuo Okamoto

Publication date: 1986

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.62.5

zbMATH Keywords

Fibonacci numbersaddition theoremspecial numbersAitken-Steffensen accelerationcotangens

Mathematics Subject Classification ID

Recurrences (11B37) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (max. 100)

Aitken acceleration and Fibonacci numbers ⋮ Algorithms associated with arithmetic, geometric and harmonic means and integrable systems ⋮ The Toda molecule equation and the 𝜖-algorithm ⋮ On an integrable discretization of the Rayleigh quotient gradient system and the power method with a shift

Cites Work

• Unnamed Item
• Accélération de la convergence en analyse numérique
• Aitken acceleration and Fibonacci numbers

This page was built for publication: Aitken-Steffensen acceleration and a new addition formula for Fibonacci numbers