Truncation error bounds for g-fractions

DOI10.1007/BF02161885zbMath0177.43202MaRDI QIDQ2533820

William B. Gragg

Publication date: 1968

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

Full work available at URL: https://eudml.org/doc/131836

zbMATH Keywords

numerical analysis

Related Items (23)

A survey of truncation error analysis for Padé and continued fraction approximants ⋮ Generalized Faber polynomials and an optimal error recovery algorithm ⋮ Multicomponent composites, electrical networks and new types of continued fraction. II ⋮ Convergence of two-point Padé approximants to series of Stieltjes ⋮ Truncation error bounds for $\pi$-fractions ⋮ Continued fractions in numerical analysis ⋮ Two-point Padé approximants for the expansions of Stieltjes functions in real domain ⋮ Truncation error bounds for modified continued fractions with applications to special functions ⋮ Quadrature on the half line and two-point Padé approximants to Stieltjes functions. III: The unbounded case ⋮ Bounded analytic maps, wall fractions and ABC-flow ⋮ An a priori estimate for the truncation error of a continued fraction expansion to the Gaussian error function ⋮ The multidimensional generalization of \(g\)-fractions and their application. ⋮ Truncation error analysis by means of approximant systems and inclusion regions ⋮ The convergence of Padé approximants to series of Stieltjes ⋮ A priori estimates for truncation error of continued fractions \(K(1/b_ n\)) ⋮ \(N\)-point Padé approximants to real-valued Stieltjes series with nonzero radii of convergence ⋮ Computing the logarithm of a symmetric positive definite matrix ⋮ Two-point Padé expansions for a family of analytic functions ⋮ On two methods for accelerating convergence of series ⋮ Truncation error bounds for limit-periodic continued fractions \(K(a_ n/1)\) with \(\lim a_ n=0\) ⋮ Reflections on value regions, limit regions and truncation errors for continued fractions ⋮ On a Posteriori Error Estimates ⋮ Estimates of the Speed of Convergence of Continued Fraction Expansions of Functions

Cites Work

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• Truncation error estimates for Stieltjes fractions
• Der Quotienten-Differenzen-Algorithmus
• The g-Algorithm
• On Some Recent Developments in the Theory and Application of Continued Fractions
• A Continued Fraction Algorithm for the Computation of Higher Transcendental Functions in the Complex Plane
• Continued Fractions and Totally Monotone Sequences

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