Padé approximation and continued fractions
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Publication:608513
DOI10.1016/j.apnum.2010.03.016zbMath1202.41009OpenAlexW2017957888MaRDI QIDQ608513
Publication date: 25 November 2010
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2010.03.016
convergence accelerationPadé approximationcontinued fractionsspecial functionsmodified approximantstail sequences
Related Items (4)
Extrapolation from hypergeometric functions, continued functions and Borel-Leroy transformation; resummation of perturbative renormalization functions from field theories ⋮ Accurate quotient-difference algorithm: error analysis, improvements and applications ⋮ Continued functions and perturbation series: simple tools for convergence of diverging series in \(\mathrm{O}(n)\)-symmetric \(\phi^4\) field theory at weak coupling limit ⋮ Continued functions and Borel–Leroy transformation: resummation of six-loop ϵ-expansions from different universality classes
Cites Work
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- On parabolic convergence regions for continued fractions
- Expansion of power series into \(P\)-fractions
- Continued fractions. Vol. 1: Convergence theory
- On the Padé table for \(e^{x}\) and the simple continued fractions for \(e\) and \(e^{L/M}\)
- Continued fractions with applications
- P-fractions and the Padé table
- Analytic continuation of functions given by continued fractions, revisited
- The convergence of Padé approximants to functions with branch points
- A priori truncation error bounds for continued fractions
- Computation of limit periodic continued fractions. A survey
- Der Quotienten-Differenzen-Algorithmus
- General Convergence of Continued Fractions
- Analytic continuation of functions difined by means of continued fraction.
- A Convergence Theorem for Continued Fractions
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