A note on the relation between two convergence acceleration methods for ordinary continued fractions

DOI10.1016/S0377-0427(98)00217-9zbMath0944.65002MaRDI QIDQ1300805

Adhemar Bultheel, Paul Levrie

Publication date: 13 September 2000

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

zbMATH Keywords

convergence accelerationcontinued fractions

Mathematics Subject Classification ID

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

Related Items (1)

On three-term recurrence and Christoffel–Darboux identity for orthogonal rational functions on the real line

Cites Work

• An asymptotic property for tails of limit periodic continued fractions
• Convergence acceleration of limit periodic continued fractions under asymptotic side conditions
• Derivatives of continued fractions with applications to hypergeometric functions
• A note on two convergence acceleration methods for ordinary continued fractions
• Linear approximations to continued fractions \(K(z_ n/1)\)
• Continued fractions with applications
• Improving a method for computing non-dominant solutions of certain second-order recurrence relations of Poincaré-type
• Computation of limit periodic continued fractions. A survey
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