On the acceleration convergence of limit periodic continued fractions by the \(T_{+m}\) transformation

DOI10.1016/0377-0427(94)00042-5zbMath0805.65002OpenAlexW1994750680MaRDI QIDQ1334864

Shuo Tang, Gongqin Zhu

Publication date: 2 February 1995

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

Full work available at URL: https://doi.org/10.1016/0377-0427(94)00042-5

zbMATH Keywords

convergence accelerationlimit periodic continued fractions\(T\) plus \(m\)-transformation

Mathematics Subject Classification ID

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

Cites Work

• On the acceleration of limit periodic continued fractions
• Successive modifications of limit periodic continued fractions
• Calculation of poles of meromorphic functions with q-d, r-s and \(\epsilon\)-algorithms. Acceleration of these processes
• Acceleration of limit periodic continued fractions by the \(T_{+M}\) transformation
• The linear convergence of limit periodic continued fractions

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