A convergence and stability study of the iterated Lubkin transformation and the $\theta$-algorithm

DOI10.1090/S0025-5718-02-01433-3zbMath1014.65003MaRDI QIDQ4780380

Avram Sidi

Publication date: 19 November 2002

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

zbMATH Keywords

comparisonstabilityconvergence accelerationpower seriesFourier serieslinear sequenceslogarithmic sequencestheta-algorithmW-transformationLubkin transformationfactorial sequencesLevin u-transformation

Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05) Power series (including lacunary series) in one complex variable (30B10) Extrapolation to the limit, deferred corrections (65B05) Convergence and absolute convergence of Fourier and trigonometric series (42A20) Approximation to limiting values (summation of series, etc.) (40A25) Numerical summation of series (65B10)

Related Items (4)

Survey of numerical stability issues in convergence acceleration ⋮ An extended multistep Shanks transformation and convergence acceleration algorithm with their convergence and stability analysis ⋮ Fourier series and the Lubkin W-transform ⋮ Construction of new generalizations of Wynn's epsilon and rho algorithm by solving finite difference equations in the transformation order

Cites Work

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