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

Name: Acceleration property for the E-algorithm and an application to the summation of series
Creator: Prévost, Marc
Keywords: Extrapolation to the limit, deferred corrections, numerical examples, Numerical summation of series, summation of series, E- algorithm, extrapolation, convergence acceleration, 0101 mathematics, 01 natural sciences

Prévost, Marc

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Advances in Computat...arrow_drop_down

Advances in Computational Mathematics

Article . 1994 . Peer-reviewed

License: Springer TDM

Data sources: Crossref

zbMATH Open

Article . 1994

Data sources: zbMATH Open

https://dx.doi.org/10.1007/bf0...

Article

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

descriptionPublicationkeyboard_double_arrow_right Article 01 Apr 1994 English Publisher:Springer Science and Business Media LLCJournal:Advances in Computational Mathematics, volume 2, pages 319-341 (issn: 1019-7168, eissn: 1572-9044,

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Authors: Prévost, Marc;

doi: 10.1007/bf02521114

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

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Abstract

The author gives a general result about that the E-algorithm accelerates the convergence of the initial sequence by adding another type of hypothesis concerning the sign of a determinant. Several applications and numerical examples are given.

Related Organizations

University of the Littoral Opal Coast
France
University of Lille
France

Keywords

Extrapolation to the limit, deferred corrections, numerical examples, Numerical summation of series, summation of series, E- algorithm, extrapolation, convergence acceleration

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