The E-algorithm and the Ford–Sidi algorithm

The E-algorithm and the Ford–Sidi algorithm are two general extrapolation algorithms. It is proved that the E-algorithm and the Ford–Sidi algorithm are mathematically (although not operationally) equivalent. A slightly more economical algorithm is given. Operation counts are discussed.

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Bibliographic Details
Published inJournal of Computational and Applied Mathematics Vol. 122; no. 1; pp. 223 - 230
Main Author Osada, Naoki
Format Journal Article
LanguageEnglish
Japanese
Published Elsevier B.V 01.10.2000
Elsevier BV
Subjects
Acceleration of convergence
Applied Mathematics
Computational Mathematics
E-algorithm
Extrapolation method
Ford–Sidi algorithm
Extrapolation method
E-algorithm
Ford–Sidi algorithm
Acceleration of convergence
Online AccessGet full text
ISSN0377-0427
1879-1778
DOI10.1016/S0377-0427(00)00366-6

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Summary:The E-algorithm and the Ford–Sidi algorithm are two general extrapolation algorithms. It is proved that the E-algorithm and the Ford–Sidi algorithm are mathematically (although not operationally) equivalent. A slightly more economical algorithm is given. Operation counts are discussed.
ISSN:0377-0427
1879-1778
DOI:10.1016/S0377-0427(00)00366-6