On remainder estimates for Levin-type sequence transformations

Remainder estimates for Levin-type sequence transformations are discussed. A new remainder estimate is introduced which is related to the Kummer transformation. Test cases are presented which show that the new remainder estimate can enhance the performance of Levin-type sequence transformations cons...

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Bibliographic Details
Published in:Computer physics communications 1995, Vol.92 (1), p.1-10
Main Authors: Homeier, H.H.H., Weniger, E.J.
Format: Article
Language:English
Subjects:
Computational techniques
Convergence acceleration
Exact sciences and technology
Extrapolation
Iterative algorithms
J transformation
Kummer transformation
Levin transformation
Mathematical methods in physics
Nonlinear sequence transformations
Physics
Weniger transformation
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Summary:Remainder estimates for Levin-type sequence transformations are discussed. A new remainder estimate is introduced which is related to the Kummer transformation. Test cases are presented which show that the new remainder estimate can enhance the performance of Levin-type sequence transformations considerably.
ISSN:0010-4655
1879-2944
DOI:10.1016/0010-4655(95)00103-M