The linear convergence of limit periodic continued fractions

DOI10.1016/0377-0427(87)90174-9zbMath0662.30003OpenAlexW1981697502MaRDI QIDQ1113310

Alami Lembarki, Claude Brezinski

Publication date: 1987

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(87)90174-9

zbMATH Keywords

acceleration of continued fractionslinear convergence of continued fractions

Mathematics Subject Classification ID

Continued fractions; complex-analytic aspects (30B70) Convergence and divergence of continued fractions (40A15)

Related Items (8)

On the acceleration convergence of limit periodic continued fractions by the \(T_{+m}\) transformation ⋮ Successive modifications of limit periodic continued fractions ⋮ Acceleration of limit periodic continued fractions by the \(T_{+M}\) transformation ⋮ Convergence acceleration of limit k-periodic continued fractions ⋮ On the asymptotic behaviour of continued fractions ⋮ A note on two convergence acceleration methods for ordinary continued fractions ⋮ Truncation error bounds for modified continued fractions with applications to special functions ⋮ On a Khovanskii transformation for continued fractions

Cites Work

• Unnamed Item
• On the acceleration of limit periodic continued fractions
• Successive modifications of limit periodic continued fractions
• Acceleration of limit periodic continued fractions by the \(T_{+M}\) transformation
• Résultats négatifs en accélération de la convergence
• Analytic theory of continued fractions. Proceedings of a Seminar-Workshop held at Loen, Norway, 1981
• Accélération de la convergence des suites dont le rapport des erreurs est borne
• Truncation Error Bounds for Limit Periodic Continued Fractions

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