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Étude statistique des erreurs dans l’ARITHM<ETIQUE DES ORDINATEURS, APPLICATIONS AU CONTR<OLE DES R<ESULTTS D’algorithmes numériques. (French) Zbl 0278.65043

MSC:
65G50 Roundoff error
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References:
[1] Forsythe, G. E., Moler, C. B.: Computer solution of linear algebraic systems. Prentice Hall 1967 · Zbl 0154.40401
[2] Henrici, P.: Elements of numerical analysis. John Wiley 1964 · Zbl 0149.10901
[3] Householder, A. S.: Principles of numerical analysis. MacGraw Hill 1953 · Zbl 0051.34602
[4] La Porte, M.: Contrôle de la solution d’un système linéaire et d’une équation algébrique. Rapport de l’Institut Français du Pétrole réf. 20407 (1972)
[5] La Porte, M., Vignes, J.: Algorithmes numériques, analyse et mise en oeuvre, tome 1, première partie. Rapport de l’Institut Français du, Pétrole réf. 20042 (1972)
[6] Moore, R. E.: Interval analysis. Prentice Hall 1966 · Zbl 0176.13301
[7] Vignes, J., La Porte, M.: Théorie et pratique de la programmation Fortran. Paris: Editions Technip 1970
[8] Wilkinson, J. H.: Error analysis of floating-point computation. Numer. Math.2, 319-340 (1960) · Zbl 0091.29605 · doi:10.1007/BF01386233
[9] Wilkinson, J. H.: Rounding errors in algebraic processes. Englewood Cliffs, N.J.: Prentice Hall 1963 · Zbl 1041.65502
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