Une généralisation au cas vectoriel du procédé Δ 2 d’Aitken et les suites à comportement linéaire

Hervé Le Ferrand

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1995)

  • Volume: 29, Issue: 1, page 53-62
  • ISSN: 0764-583X

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Le Ferrand, Hervé. "Une généralisation au cas vectoriel du procédé $\Delta ^2$ d’Aitken et les suites à comportement linéaire." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 29.1 (1995): 53-62. <http://eudml.org/doc/193767>.

@article{LeFerrand1995,
author = {Le Ferrand, Hervé},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {convergence acceleration; Aitken's acceleration; epsilon transformation},
language = {fre},
number = {1},
pages = {53-62},
publisher = {Dunod},
title = {Une généralisation au cas vectoriel du procédé $\Delta ^2$ d’Aitken et les suites à comportement linéaire},
url = {http://eudml.org/doc/193767},
volume = {29},
year = {1995},
}

TY - JOUR
AU - Le Ferrand, Hervé
TI - Une généralisation au cas vectoriel du procédé $\Delta ^2$ d’Aitken et les suites à comportement linéaire
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1995
PB - Dunod
VL - 29
IS - 1
SP - 53
EP - 62
LA - fre
KW - convergence acceleration; Aitken's acceleration; epsilon transformation
UR - http://eudml.org/doc/193767
ER -

References

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  1. [1] C. BREZINSKI, 1977, Accélération de la convergence en analyse numérique, LNM 584, Springer Verlag, Heidelberg. Zbl0352.65003MR455266
  2. [2] C. BREZINSKI, 1978, Algorithmes d'accélération de la convergence. Etude numérique, Editions Technip, Paris. Zbl0396.65001MR511657
  3. [3] C. BREZINSKI et M. REDIVO-ZAGLIA, 1991, Extrapolation Methods, Theory and Practise, North-Holland, Amsterdam. Zbl0744.65004MR1140920
  4. [4] J.-P. DELAHAYE, 1988, Séquence Transformations, Springer Verlag, Berlin. Zbl0652.65004MR953542
  5. [5] F. R. GANTMACHER, 1966, Théorie des Matrices, Dunod, Paris. Zbl0136.00410
  6. [6] H. LE FERRAND, 1992, Convergence et applications d'approximations rationnelles vectorielles, Thèse, Lille 1. 
  7. [7] Y. NIEVERGELT, 1991, Aitken's and Steffensen's acceleration in several variables. Numer. Math. 59, 295-310. Zbl0712.65037MR1106386
  8. [8] H. ORTLOFF, 1986, Asymptotic behaviour and acceleration of iterative sequences, Numer. Math. 49, 545-559. Zbl0608.65004MR856384
  9. [9] A. SALAM, 1993, Thèse, Lille 1. 
  10. [10] P. WYNN, 1962, Acceleration techniques for iterated vector and matrix problems, Math. Comput. 16, 301-322. Zbl0105.10302MR145647

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