Convergence acceleration of limit periodic continued fractions under asymptotic side conditions

DOI10.1007/BF01404465zbMath0628.65003MaRDI QIDQ1093304

Lisa Jacobsen, Haakon Waadeland

Publication date: 1988

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133277

zbMATH Keywords

convergence accelerationmodified approximantslimit k-periodic continued fractionsregular C-fraction expansions of hypergeometric functions

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

Computation of limit periodic continued fractions. A survey ⋮ A method of convergence acceleration of some continued fractions. II ⋮ A note on two convergence acceleration methods for ordinary continued fractions ⋮ An asymptotic property for tails of limit periodic continued fractions ⋮ A priori truncation error bounds for continued fractions ⋮ \(G\)-continued fractions and convergence acceleration in the solution of third-order linear recurrence relations of Poincaré-type ⋮ Convergence acceleration for \(n\)-fractions ⋮ 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

• An asymptotic property for tails of limit periodic continued fractions
• Convergence of Continued Fractions
• Unnamed Item
• Unnamed Item
• Unnamed Item