Truncation error bounds for modified continued fractions with applications to special functions

DOI10.1007/BF01390055zbMath0675.65008OpenAlexW2010960576MaRDI QIDQ1122293

William B. Jones, Christopher Baltus

Publication date: 1989

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133356

zbMATH Keywords

numerical examplesspeed of convergencetruncation error boundslimit-periodic modified continued fraction

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Approximation by rational functions (41A20) Computation of special functions and constants, construction of tables (65D20) Continued fractions; complex-analytic aspects (30B70) Convergence and divergence of continued fractions (40A15)

Related Items (6)

A survey of truncation error analysis for Padé and continued fraction approximants ⋮ Computation of limit periodic continued fractions. A survey ⋮ Truncation error bounds for the composition of limit-periodic linear fractional transformations ⋮ Asymptotic behavior of polynomials satisfying three-term recurrence relations ⋮ Truncation error bounds for the composition of limit-periodic linear fractional transformations ⋮ Iteration of Möbius transforms and continued fractions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On parabolic convergence regions for continued fractions
• Truncation error bounds for limit-periodic continued fractions \(K(a_ n/1)\) with \(\lim a_ n=0\)
• Continued fractions in numerical analysis
• The linear convergence of limit periodic continued fractions
• Truncation error analysis by means of approximant systems and inclusion regions
• Truncation error estimates for Stieltjes fractions
• Truncation error bounds for g-fractions
• A priori estimates for truncation error of continued fractions \(K(1/b_ n\))
• Truncation Error Bounds for Limit Periodic Continued Fractions
• General Convergence of Continued Fractions
• Error Bounds for Elliptic Convergence Regions for Continued Fractions
• Numerical Evaluation of Continued Fractions
• Estimates of the Speed of Convergence of Certain Continued Fractions
• Truncation Errors in Pade Approximations to Certain Functions: An Alternative Approach
• Best Error Bounds for Padé Approximants to Convergent Series of Stieltjes
• Truncation Error Estimates for T-Fractions
• Truncation Error Bounds for Continued Fractions
• Truncation error bounds for $\pi$-fractions

This page was built for publication: Truncation error bounds for modified continued fractions with applications to special functions