Convergence acceleration of continued fractions of Poincaré type

DOI10.1016/0168-9274(83)90009-0zbMath0685.40005OpenAlexW2009399036MaRDI QIDQ1826047

Yanyan Li

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0168-9274(83)90009-0

zbMATH Keywords

speed of convergenceeigenvalues of Schrödinger equationPincherle's theoremPoincaré type continued fractions

Mathematics Subject Classification ID

Convergence and divergence of continued fractions (40A15)

Related Items (4)

Computation of limit periodic continued fractions. A survey ⋮ A method of convergence acceleration of some continued fractions. II ⋮ Convergence acceleration of continued fractions of Poincaré's type 1 ⋮ Extrapolation algorithms based on the asymptotic expansion of the inverse of the error; application to continued fractions

Cites Work

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• A general extrapolation algorithm
• Analytic theory of continued fractions. Proceedings of a Seminar-Workshop held at Loen, Norway, 1981
• Analytic theory of singular difference equations
• Convergent solutions of ordinary linear homogeneous difference equations
• Further Results on Convergence Acceleration for Continued Fractions K(a n /1)
• Generalized neville type extrapolation schemes
• Convergence of Continued Fractions
• Computational Aspects of Three-Term Recurrence Relations

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