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Détermination du pas optimal dans le calcul des dérivées sur ordinateur. (French) Zbl 0357.65014

MSC:
65D25 Numerical differentiation
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References:
[1] 1. G. DAGMAR, Extrapolation Method for Numerical Calculation of the Derivative of the Analytical Function and its Error Estimate. Applikace Matematici, vol. 16,n^\circ 2, Ceskoslovenska, 1971. Zbl0225.65021 MR283456 · Zbl 0225.65021
[2] 2. J. DUMONTET, Algorithme de dérivation numérique. Étude théorique et mise en oeuvre sur ordinateur. Thèse 3 e cycle, Technip, Paris, 1973.
[3] 3. P. HENRICI, Error Propagation for Difference Methods. J. Willey and Sons, 1963. Zbl0171.36104 MR154416 · Zbl 0171.36104
[4] 4. Z. KOPAL, Numerical Analysis. Chapman and Hall, 1965. Zbl0101.33701 · Zbl 0101.33701
[5] 5. M. LA PORTE, Une formulation numériquement stable. Rapport I.F.P., réf. 21516,août 1973.
[6] 6. M. LA PORTE et J. VIGNES, Algorithmes Numériques, analyse et mise en oeuvre, tome I, Technip, Paris, 1974. Zbl0334.65035 MR423748 · Zbl 0334.65035
[7] 7. M. LA PORTE et J. VIGNES, Étude statistique des erreurs dans l’arithmétique des ordinateurs; application au contrôle des résultats d’algorithmes. Numerische Mathematik, vol. 23, 1974. Zbl0278.65043 · Zbl 0278.65043
[8] 8. R. E. MOORE, Interval Analysis. Prentice Hall, 1966. Zbl0176.13301 MR231516 · Zbl 0176.13301
[9] 9. J. VIGNES et M. LA PORTE, Error Analysis in Computing, Proceeding of I.F.I.P. Congress, Stockholm, August 1974. Zbl0295.65035 MR413467 · Zbl 0295.65035
[10] 10. J. H. WILKINSON, Error Analysis of Floating-Point Computation. Numerische Mathematik, vol. 2, 1960. Zbl0091.29605 MR116477 · Zbl 0091.29605
[11] 11. J. H. WILKINSON, Rounding Error in Algebraic Processes. Prentice Hall, 1963. Zbl1041.65502 MR161456 · Zbl 1041.65502
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