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Sur la régularité des procédés δ2 d'Aitken et W de Lubkin

A. Mathematical Aspects Of Padé Approximants And Their Generalizations

Part of the Lecture Notes in Mathematics book series (LNM,volume 765)

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Références

  1. A.C. AITKEN.-On Bernoulli's numerical solution of algebraic equations. Proc. Roy. Soc. Edinb. 46 (1926) 289–305.

    CrossRef  MATH  Google Scholar 

  2. C. BREZINSKI.-Etudes sur les ε-et ρ-algorithmes. Numer. Math. 17 (1971) 153–162.

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. W.D. CLARK, H.L. GRAY, and J.E. ADAMS.-A note on the T-transformation of Lubkin. J. Res. NBS 73 B (1969) 25–29.

    MathSciNet  MATH  Google Scholar 

  4. F. CORDELLIER.-Caractérisation des suites que le procédé ϑ 2 transforme en suites constantes. CRAS Paris 284 A (1977) 389–392.

    MathSciNet  MATH  Google Scholar 

  5. F. CORDELLIER.-Analyse numérique des transformations de suites et de séries. Thèse (à paraître).

    Google Scholar 

  6. B. GERMAIN-BONNE.-Estimation de la limite de suites et formalisation de procédés d'accélération de la convergence. Thèse (Lille) 1978.

    Google Scholar 

  7. B. GERMAIN-BONNE.-Transformations de suites. R.A.I.R.O., (1973), 84–90.

    Google Scholar 

  8. D. LEVIN.-Development of Non-Linear transformation for Improving Convergence of Sequences. Intern. J. Computer Math. B3 (1973) 371–388.

    MATH  Google Scholar 

  9. S. LUBKIN.-A method for summing infinite series. J. Res. NBS 48 (1952) 228–254.

    MathSciNet  Google Scholar 

  10. R. de MONTESSUS de BALLORE.-Sur les fractions continues algébriques. Bull. Soc. Math. 22 (1902) 28–36.

    MATH  Google Scholar 

  11. K.J. OVERHOLT.-Extended Aitken acceleration. B.I.T. 5 (1965) 122–132.

    MathSciNet  MATH  Google Scholar 

  12. R. PENNACCHI.-Le trasformazioni razionali di una successione. Calcolo 5 (1968) 37–50.

    CrossRef  MathSciNet  MATH  Google Scholar 

  13. J.R. RICE.-Sequence transformations based on Tchebycheff approximations. J. Res. N.B.S. 64B (1960) 227–235.

    MathSciNet  MATH  Google Scholar 

  14. D. SHANKS.-Nonlinear transformations of divergent and slowly convergent sequences. J. Math. Phys. 34 (1955) 1–42.

    CrossRef  MathSciNet  MATH  Google Scholar 

  15. D.A. SMITH, W.F. FORD.-Acceleration of linear and logarithmic convergence. S.I.A.M. J. Numer. Anal., 16 (1979) 223–240.

    CrossRef  MathSciNet  MATH  Google Scholar 

  16. R.R. TUCKER.-The δ 2-process and related Topics. (part.I) Pacif. J. Math. 22 (1967) 349–359 (part.II) Pacif. J. Math. 28 (1969) 455–463.

    CrossRef  MathSciNet  Google Scholar 

  17. J. WIMP.-Some transformations of monotone sequences. Math. Comp. 26 (1972) 251–254.

    CrossRef  MathSciNet  MATH  Google Scholar 

  18. P. WYNN.-On a device for computing the e m (S n ) transformation. MTAC 10 (1956) 91–96.

    MathSciNet  MATH  Google Scholar 

  19. P. WYNN.-On a procrustean technique for the numerical transformation of slowly convergent sequences and series. Proc. Comb. Phil. Soc. 52 (1956) 663–671.

    CrossRef  MathSciNet  MATH  Google Scholar 

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© 1979 Springer-Verlag

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Cordellier, F. (1979). Sur la régularité des procédés δ2 d'Aitken et W de Lubkin. In: Wuytack, L. (eds) Padé Approximation and its Applications. Lecture Notes in Mathematics, vol 765. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0085573

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  • DOI: https://doi.org/10.1007/BFb0085573

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