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Delahaye, J. P.

Automatic selection of sequence transformations. (English) Zbl 0468.65001

Math. Comput. 37, 197-204 (1981).
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Cited in 1 Review
Cited in 33 Documents

MSC:

65B05 Extrapolation to the limit, deferred corrections

Keywords:

automatic selection of sequence transformations; numerical experiment; accelerating the convergence
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\textit{J. P. Delahaye}, Math. Comput. 37, 197--204 (1981; Zbl 0468.65001)
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References:

[1] Claude Brezinski, Accélération de suites à convergence logarithmique, C. R. Acad. Sci. Paris Sér. A-B 273 (1971), A727 – A730 (French). · Zbl 0248.65004
[2] C. Brezinski, Études sur les \?- et \?-algorithmes, Numer. Math. 17 (1971), 153 – 162 (French, with English summary). · Zbl 0204.48305
[3] Claude Brezinski, Accélération de la convergence en analyse numérique, Lecture Notes in Mathematics, Vol. 584, Springer-Verlag, Berlin-New York, 1977 (French). · Zbl 0352.65003
[4] Claude Brezinski, Algorithmes d’accélération de la convergence, Éditions Technip, Paris, 1978 (French). Étude numérique; Collection Langages et Algorithmes de l’Informatique. · Zbl 0396.65001
[5] C. Brezinski, A general extrapolation algorithm, Numer. Math. 35 (1980), no. 2, 175 – 187. · Zbl 0444.65001
[6] F. Cordellier, Sur la Régularité des Procédés \( {\delta ^2}\) d’Aitken et W de Lubkin, Publ. A. N. O. No. 10, Univ. des Sci. et Tech, de Lille, 1979. · Zbl 0431.41024
[7] J. P. Delahaye, Etude Générale des Procédés de Choix Entre Transformations de Suites en Accélération de la Convergence, Publ. A. N. O., Univ. des Sci. et Tech. de Lille. (To appear.)
[8] P. J. Laurent, Etude des procédés d’Extrapolation en Analyse Numérique, Thèse, Grenoble, 1964.
[9] K. J. Overholt, Extended Aitken acceleration, Nordisk Tidskr. Informations-Behandling 5 (1965), 122 – 132. · Zbl 0171.35503
[10] Daniel Shanks, Non-linear transformations of divergent and slowly convergent sequences, J. Math. and Phys. 34 (1955), 1 – 42. · Zbl 0067.28602
[11] P. Wynn, On a device for computing the \?_{\?}(\?_{\?}) tranformation, Math. Tables Aids Comput. 10 (1956), 91 – 96. · Zbl 0074.04601
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.