Convergence acceleration of limit k-periodic continued fractions

DOI10.1016/0168-9274(83)90011-9zbMath0654.65003OpenAlexW1994633246MaRDI QIDQ1108732

Alami Lembarki

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0168-9274(83)90011-9

zbMATH Keywords

convergence accelerationlimit periodic continued fractions

Mathematics Subject Classification ID

Extrapolation to the limit, deferred corrections (65B05) Continued fractions; complex-analytic aspects (30B70) Convergence and divergence of continued fractions (40A15)

Related Items (3)

Computation of limit periodic continued fractions. A survey ⋮ On the asymptotic behaviour of continued fractions ⋮ On a Khovanskii transformation for continued fractions

Cites Work

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• Accelerating convergence of limit periodic continued fractions \(K(a_n/1)\)
• Converging factors for continued fractions. I, II
• Repeated modifications of limit k-periodic continued fractions
• Acceleration of limit periodic continued fractions by the \(T_{+M}\) transformation
• The linear convergence of limit periodic continued fractions
• Further Results on Convergence Acceleration for Continued Fractions K(a n /1)
• Convergence of Limit k -Periodic Continued Fractions K (a_n /b_n ), and of Subsequences of Their Tails
• The T +m Transformation
• Convergence of Continued Fractions
• On a class of nonlinear transformations and their applications to the evaluation of infinite series

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