The Use of Attractive Fixed Points in Accelerating the Convergence of Limit-Periodic Continued Fractions

DOI10.2307/2040217zbMath0303.40002OpenAlexW4231313332MaRDI QIDQ4059329

John Gill

Publication date: 1975

Full work available at URL: https://doi.org/10.2307/2040217

Mathematics Subject Classification ID

Approximation by rational functions (41A20) Approximation to limiting values (summation of series, etc.) (40A25) Convergence and divergence of continued fractions (40A15)

Related Items

A survey of truncation error analysis for Padé and continued fraction approximants, Computation of limit periodic continued fractions. A survey, Compositions of analytic functions of the form \(F_ n(z)=F_{n-1}(f_ n(z))\), \(f_ n(z)\to f(z)\), Limit periodic iteration, Accelerating convergence of limit periodic continued fractions \(K(a_n/1)\), General T-fractions corresponding to functions satisfying certain boundedness conditions, On the acceleration of limit periodic continued fractions

Cites Work

• Converging factors for continued fractions. I, II
• Continued fraction approximation to functions
• Attractive Fixed Points and Continued Fractions.
• Infinite Compositions of Mobius Transformations
• On convergence of sequences of linear fractional transformations