\(G\)-continued fractions and convergence acceleration in the solution of third-order linear recurrence relations of Poincaré-type

DOI10.1016/0168-9274(91)90054-4zbMath0743.65003OpenAlexW2044810333MaRDI QIDQ1181526

Paul Levrie

Publication date: 27 June 1992

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0168-9274(91)90054-4

zbMATH Keywords

convergence accelerationcontinued fractionNumerical examplesthird-order recurrence relation

Mathematics Subject Classification ID

Recurrences (11B37) Extrapolation to the limit, deferred corrections (65B05) Continued fractions; complex-analytic aspects (30B70)

Related Items (2)

Some identities for \(G\)-continued fractions and generalized continued fractions ⋮ On the relationship between generalised continued fractions and G- continued fractions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the relationship between generalised continued fractions and G- continued fractions
• An asymptotic property for tails of limit periodic continued fractions
• On the acceleration of limit periodic continued fractions
• Convergence acceleration of limit periodic continued fractions under asymptotic side conditions
• Remarks to a definition of convergence acceleration illustrated by means of continued fractions \(K(a_ n/1)\) where \(a_ n\to 0\)
• Linear difference equations and generalized continued fractions
• Improving a method for computing non-dominant solutions of certain second-order recurrence relations of Poincaré-type
• Convergence Acceleration for the Numerical Solution of Second-Order Linear Recurrence Relations
• Computational Aspects of Three-Term Recurrence Relations
• Numerical solution of second-order linear difference equations

This page was built for publication: \(G\)-continued fractions and convergence acceleration in the solution of third-order linear recurrence relations of Poincaré-type