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Automatic selection of sequence transformations. (English) Zbl 0468.65001

MSC:
65B05 Extrapolation to the limit, deferred corrections
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[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
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