# Convergence acceleration by the ${E}_{+p}$-algorithm

Applicationes Mathematicae (1998)

- Volume: 25, Issue: 3, page 327-338
- ISSN: 1233-7234

## Access Full Article

top## Abstract

top## How to cite

topFdil, A.. "Convergence acceleration by the $E_{+p}$-algorithm." Applicationes Mathematicae 25.3 (1998): 327-338. <http://eudml.org/doc/219207>.

@article{Fdil1998,

abstract = {A new algorithm which generalizes the E-algorithm is presented. It is called the $E_\{+p\}$-algorithm. Some results on convergence acceleration for the $E_\{+p\}$-algorithm are proved. Some applications are given.},

author = {Fdil, A.},

journal = {Applicationes Mathematicae},

keywords = {convergence acceleration; E-algorithm; linear periodic convergence; numerical quadrature; -algorithm},

language = {eng},

number = {3},

pages = {327-338},

title = {Convergence acceleration by the $E_\{+p\}$-algorithm},

url = {http://eudml.org/doc/219207},

volume = {25},

year = {1998},

}

TY - JOUR

AU - Fdil, A.

TI - Convergence acceleration by the $E_{+p}$-algorithm

JO - Applicationes Mathematicae

PY - 1998

VL - 25

IS - 3

SP - 327

EP - 338

AB - A new algorithm which generalizes the E-algorithm is presented. It is called the $E_{+p}$-algorithm. Some results on convergence acceleration for the $E_{+p}$-algorithm are proved. Some applications are given.

LA - eng

KW - convergence acceleration; E-algorithm; linear periodic convergence; numerical quadrature; -algorithm

UR - http://eudml.org/doc/219207

ER -

## References

top- [1] C. Brezinski, Algorithmes d'Accélération de la Convergence en Analyse Numérique. Etude numérique, Technip, Paris, 1978. Zbl0396.65001
- [2] C. Brezinski, A general extrapolation algorithm, Numer. Math. 35 (1980), 175-187. Zbl0444.65001
- [3] C. Brezinski and M. Redivo Zaglia, Extrapolation Methods, Theory and Practice, North-Holland, Amsterdam, 1991. Zbl0814.65001
- [4] J. P. Delahaye, Sequence Transformations, Springer, Berlin, 1988.
- [5] A. Fdil, Some results on convergence acceleration for the $E$-algorithm, Appl. Math. (Warsaw) 24 (1997), 393-413. Zbl0890.65004
- [6] L. Fox, Romberg integration for a class of singular integrands, Comput. J. 10 (1967), 87-93. Zbl0158.16001
- [7] H. L. Gray and W. D. Clark, On a class of nonlinear transformations and their applications to the evaluation of infinite series, J. Res. Nat. Bur. Standards Sect. B 73 (1969), 251-274. Zbl0187.10202
- [8] T. Håvie, Error derivation in Romberg integration, BIT 12 (1972), 516-527. Zbl0268.65019
- [9] T. Håvie, Generalized Neville type extrapolation schemes, ibid. 19 (1979), 204-213. Zbl0404.65001
- [10] D. C. Joyce, Survey of extrapolation processes in numerical analysis, SIAM Rev. 13 (1971), 435-490. Zbl0229.65005
- [11] J. N. Lyness, Applications of extrapolation techniques to multidimensional quadrature of some integrand functions with a singularity, J. Comput. Phys. 20 (1976), 346-364. Zbl0336.65015
- [12] J. N. Lyness and B. W. Ninham, Numerical quadrature and asymptotic expansions, Math. Comp. 21 (1967), 162-177. Zbl0178.18402
- [13] C. Schneider, Vereinfachte Rekursionen zur Richardson-Extrapolation in Spezialfallen, Numer. Math. 24 (1975), 177-184. Zbl0291.65002
- [14] J. Wimp, Sequence Transformations and their Applications, Academic Press, New York, 1984. Zbl0566.47018