A note on two convergence acceleration methods for ordinary continued fractions

DOI10.1016/0377-0427(88)90301-9zbMath0659.65002OpenAlexW1983110280MaRDI QIDQ1112531

Paul Levrie, Adhemar Bultheel

Publication date: 1988

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(88)90301-9

zbMATH Keywords

comparison of methodsconvergence accelerationcontinued fractions

Mathematics Subject Classification ID

Extrapolation to the limit, deferred corrections (65B05) Convergence and divergence of continued fractions (40A15)

Related Items (3)

Computation of limit periodic continued fractions. A survey ⋮ Improving a method for computing non-dominant solutions of certain second-order recurrence relations of Poincaré-type ⋮ A note on the relation between two convergence acceleration methods for ordinary continued fractions

Cites Work

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• Accelerating convergence of limit periodic continued fractions \(K(a_n/1)\)
• An asymptotic property for tails of limit periodic continued fractions
• Repeated modifications of limit k-periodic continued fractions
• Convergence acceleration of limit periodic continued fractions under asymptotic side conditions
• Successive modifications of limit periodic continued fractions
• Acceleration of limit periodic continued fractions by the \(T_{+M}\) transformation
• The linear convergence of limit periodic continued fractions

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