Introduction to the improved Levin-type algorithms for accelerating convergence of sequence.

DOI10.1016/S0096-3003(03)00324-2zbMath1039.65001OpenAlexW1974963215MaRDI QIDQ1428402

Rajinder Thukral

Publication date: 29 March 2004

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(03)00324-2

zbMATH Keywords

power seriesLevin transformationConvergence accelerationBrezinski's \(\theta\) algorithmImproved Levin algorithmsModified Levin algorithmWynn's \(\rho\) algorithm

Mathematics Subject Classification ID

Extrapolation to the limit, deferred corrections (65B05) Numerical summation of series (65B10)

Related Items

Introduction to the determinantal formulae for the Levin-type algorithms, Convergence Acceleration and Improvement by Regular Matrices, Development of the Levin-type algorithms for accelerating convergence of sequences

Cites Work

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• The rise and fall of the vector epsilon algorithm
• A review of Padé methods for the acceleration of convergence of a sequence of vectors
• Prediction proberties of Aitken's iterated \(\Delta^2\) process, of Wynn's epsilon algorithm, and of Brezinski's iterated theta algorithm
• Similarities of the integral Padé approximants
• Introduction to the improved functional epsilon algorithm
• An acceleration theorem for the \(\rho\)-algorithm
• Numerical Comparisons of Nonlinear Convergence Accelerators
• Acceleration of Linear and Logarithmic Convergence
• Irregular input data in convergence acceleration and summation processes: General considerations and some special Gaussian hypergeometric series as model problems