Acceleration property for the E-algorithm and an application to the summation of series

DOI10.1007/BF02521114zbMath0828.65005MaRDI QIDQ1895915

Marc Prevost

Publication date: 15 January 1996

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

zbMATH Keywords

numerical examplesconvergence accelerationextrapolationsummation of seriesE- algorithm

Mathematics Subject Classification ID

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

Related Items

A general extrapolation procedure revisited ⋮ Algorithm for the \(E\)-prediction ⋮ Extrapolation algorithms and Padé approximations: A historical survey ⋮ Several remarks on acceleration of convergence using generalized linear methods of summability ⋮ Convergence acceleration during the 20th century ⋮ An acceleration property of the \(E\)-algorithm for alternate sequences

Cites Work

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• On a generalization of the Richardson extrapolation process
• A general extrapolation algorithm
• The asymptotic behavior of sequences and new series transformations based on the Cauchy product
• Acceleration property for the columns of the E-algorithm
• Total Positivity of Fundamental Solutions of Parabolic Equations
• Generalized neville type extrapolation schemes
• What is the Laplace Transform?