On the use of a corresponding sequence algorithm for \(\delta\)-fractions

DOI10.1016/0377-0427(91)90106-TzbMath0747.65001OpenAlexW2007643275MaRDI QIDQ1184774

S. Clement Cooper, Christopher Baltus, Cathleen M. Craviotto, John H. McCabe

Publication date: 28 June 1992

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(91)90106-t

zbMATH Keywords

convergenceconvergence accelerationerror boundspower seriescontinued fractiondelta-fraction

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Certain continued fractions associated with the Padé table
• Truncation error bounds for limit-periodic continued fractions \(K(a_ n/1)\) with \(\lim a_ n=0\)
• On the computation of non-normal Padé approximants
• Division algorithms for continued fractions and the Padé table
• More on C-fraction solutions to Riccati equations
• A class of algorithms for obtaining rational approximants to functions which are defined by power series
• Further properties of T-fractions
• $\delta $-Fraction Expansions of Analytic Functions
• A Formal Extension of the Padé Table to Include Two Point Padé Quotients
• Some Properties of Continued Fractions with Applications in Markov Processes
• Continued Fractions which Correspond to Power Series Expansions at Two Points
• Convergence of Continued Fractions
• A general continued fraction expansion
• Some properties of continued fractions 1+𝑑₀𝑧+𝐾(𝑧/\vphantom{𝑧(1+𝑑_{𝑛}𝑧)}.\kern-\nulldelimiterspace(1+𝑑_{𝑛}𝑧))
• Continued fraction solutions of the Riccati equation

This page was built for publication: On the use of a corresponding sequence algorithm for \(\delta\)-fractions