New convergence results on the generalized Richardson extrapolation process GREP$^{(1)}$ for logarithmic sequences

DOI10.1090/S0025-5718-01-01384-9zbMath1076.41018OpenAlexW2024593588MaRDI QIDQ3147176

Avram Sidi

Publication date: 18 September 2002

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-01-01384-9

zbMATH Keywords

convergence accelerationRichardson extrapolationlogarithmic sequences

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Extrapolation to the limit, deferred corrections (65B05)

Related Items (3)

Acceleration of convergence of some infinite sequences \(\{A_n\}\) whose asymptotic expansions involve fractional powers of \(n\) via the \(\widetilde{d}^{(m)}\) transformation ⋮ Survey of numerical stability issues in convergence acceleration ⋮ Asymptotic upper bounds for the errors of Richardson extrapolation with practical application in approximate computations

Cites Work

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• Convergence Analysis for a Generalized Richardson Extrapolation Process with an Application to the d (1) -Transformation on Convergent and Divergent Logarithmic Sequences
• Development of non-linear transformations for improving convergence of sequences

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