Introduction to the determinantal formulae for the Levin-type algorithms

DOI10.1016/j.amc.2005.12.056zbMath1155.65301OpenAlexW2042461799MaRDI QIDQ945395

Rajinder Thukral

Publication date: 12 September 2008

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

Full work available at URL: https://doi.org/10.1016/j.amc.2005.12.056

zbMATH Keywords

Brezinski theta algorithmLubkin transformationacceleration convergenceAitken \(\varDelta^2\) algorithmclassical Levin transformationLevin-type algorithms

Mathematics Subject Classification ID

Numerical summation of series (65B10)

Related Items (1)

Convergence Acceleration and Improvement by Regular Matrices

Cites Work

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• A Levin-type algorithm for accelerating the convergence of Fourier series
• Extrapolation methods for vector sequences
• On remainder estimates for Levin-type sequence transformations
• A review of Padé methods for the acceleration of convergence of a sequence of vectors
• Extrapolation methods
• Introduction to the improved Levin-type algorithms for accelerating convergence of sequence.
• Scalar Levin-type sequence transformations
• Prediction proberties of Aitken's iterated \(\Delta^2\) process, of Wynn's epsilon algorithm, and of Brezinski's iterated theta algorithm
• Transforming logarithmic to linear convergence by interpolation
• An acceleration theorem for the \(\rho\)-algorithm
• Practical Extrapolation Methods
• Development of non-linear transformations for improving convergence of sequences
• Irregular input data in convergence acceleration and summation processes: General considerations and some special Gaussian hypergeometric series as model problems

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