An asymptotic property for tails of limit periodic continued fractions

DOI10.1216/RMJM/1181073168zbMath0706.30006OpenAlexW2012123466MaRDI QIDQ919127

Lisa Jacobsen, Haakon Waadeland

Publication date: 1990

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181073168

zbMATH Keywords

continued fractionstailsmodified approximantslimit periodic

Mathematics Subject Classification ID

Continued fractions; complex-analytic aspects (30B70) Convergence and divergence of continued fractions (40A15) Acceleration of convergence in numerical analysis (65B99)

Related Items (10)

Convergence acceleration of limit periodic continued fractions under asymptotic side conditions ⋮ Computation of continued fractions by square-root modification: Reflection and examples ⋮ A note on two convergence acceleration methods for ordinary continued fractions ⋮ Asymptotics of product of nonnegative 2-by-2 matrices with applications to random walks with asymptotically zero drifts ⋮ 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 ⋮ Iteration of Möbius transforms and continued fractions

Cites Work

• Convergence acceleration of limit periodic continued fractions under asymptotic side conditions
• Computation of continued fractions by square-root modification: Reflection and examples
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