Acceleration of limit periodic continued fractions by the \(T_{+M}\) transformation

DOI10.1016/S0377-0427(87)80015-8zbMath0636.65002MaRDI QIDQ1098219

Alami Lembarki

Publication date: 1987

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

zbMATH Keywords

convergence accelerationsequence transformationlimit 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 (11)

On the acceleration convergence of limit periodic continued fractions by the \(T_{+m}\) transformation ⋮ Linear convergence for vector sequences and some applications ⋮ Successive modifications of limit periodic continued fractions ⋮ 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 ⋮ The linear convergence of limit periodic continued fractions ⋮ The asymptotic behavior of sequences and new series transformations based on the Cauchy product ⋮ Construction of extrapolation processes ⋮ Extended procedures for extrapolation to the limit ⋮ On a Khovanskii transformation for continued fractions

Cites Work

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• Accelerating convergence of limit periodic continued fractions \(K(a_n/1)\)
• On the acceleration of limit periodic continued fractions
• Composite sequence transformations
• Acceleration of extended Fibonacci sequences
• The linear convergence of limit periodic continued fractions
• Aitken Sequences and Fibonacci Numbers
• Aitken Sequences and Generalized Fibonacci Numbers
• The T +m Transformation
• On a class of nonlinear transformations and their applications to the evaluation of infinite series

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