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Références
G.A. BAKER Jr.-Recursive calculation of Padé approximants dans "Padé Approximants and their applications" Graves-Morris P.R. ed., Academic press, London (1973) 83–91.
C. BREZINSKI.-Computation of Padé approximants and continued fractions. Journ. of Comput. Appl. Math. 2 (1976) 113–123.
A. BULTHEEL.-Recursive algorithms for non normal Padé tables. Appl. Math. Prog. Div., Kath. Univ. Leuven, Report TW40, 1978.
A. BULTHEEL.-Division algorithms for continued fractions and the Padé Table. Appl. Math. Prog. Div., Kath. Univ. Leuven, Report TW41, 1978.
A. BULTHEEL.-Fast algorithms for the factorisation of Hankel and Toeplitz matrices and the Padé approximation problem. Appl. Math. Prog. Div., Kath. Univ. Leuven, Report TW42, 1978.
A. BULTHEEL.-Remark on "A new look at the Padé Table and different methods for computing its elements". Journal of Comput. Appl. Math. 5 (1979) 67.
A. BULTHEEL.-Recursive algorithms for the Padé Table: two approaches. (These procedings).
D. BUSSONNAIS.-Tous les algorithmes de calcul par récurrence des approximants de Padé d'une série. Construction des fractions continues correspondantes. Exposé au "Colloque sur les approximants de Padé", Lille (1978).
G. CLAESSENS.-A new look at the Padé table and different methods for computing its elements. Journal of Comput. Appl. Math. 1 (1975) 141–152.
G. CLAESSENS, L. WUYTACK.-On the computation of non normal Padé approximants. Depart. Wiskunde, Univ. Inst. Antwerpen, Report 77-41 (1977).
F. CORDELLIER.-L'ε-algorithme vectoriel: interprétation géométrique et règles singulières. Exposé au "Colloque d'Analyse Numérique de Gourette", France (1974).
F. CORDELLIER.-Détermination algébrique des règles singulières pour l'ε-algorithme scalaire et la table de Padé. Exposé au "Colloque sur les approximants de Padé", Lille (1977).
F. CORDELLIER.-Deux algorithmes de calcul récursif des éléments d'une table de Padé non normale. Exposé au "Colloque sur les approximants de Padé", Lille (1978).
F. CORDELLIER.-Sur la régularité des procédés δ 2 d'Aitken et ω de Lubkin. (Ces comptes rendus).
F.R. GANTMACHER.-The theory of matrices. Vol. 1. Chelsea, New York, 1960.
J. GILEWICZ.-Approximants de Padé. Lecture Notes in Math. 667, Springer Verlag (1978).
W.B. GRAGG.-The Padé Table and its relation to certain algorithms of numerical analysis. SIAM Review 14 (1972) 1–62.
P.R. GRAVES-MORRIS.-Numerical calculation of Padé approximants. (Ces comptes rendus).
R.J. McEELIECE, J.B. SHEARER.-A property of Euclid's algorithm and an application to Padé approximation. SIAM Journ. Appl. Math. 34 (1978) 611–615.
J.B. PAQUET.-Communication privée.
D. SHANKS.-Non-linear transformation of divergent and slowly convergent sequences. J. Math. Phys. 34 (1955) 1–42.
P. WYNN.-On a device for computing the em(Sn) transformation. M.T.A.C. 10 (1956) 90–96.
P. WYNN.-L'ɛ-algorithmo e la tavola di Padé. Rend. di Mat. Roma 20 (1961) 403–408.
P. WYNN.-Singular rules for certain non-linear algorithms. Nord Tid. for Inf. Beh. 3 (1963) 175–195.
P. WYNN.-Upon systems of recursions which obtain among the quotients of the Padé table. Numer. Math. 8 (1966) 264–269.
P. WYNN.-Communication privée.
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Cordellier, F. (1979). Démonstration algébrique de l'extension de l'identité de Wynn aux tables de Padé non normales. In: Wuytack, L. (eds) Padé Approximation and its Applications. Lecture Notes in Mathematics, vol 765. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0085574
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DOI: https://doi.org/10.1007/BFb0085574
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