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Cauchy's method of minimization

Published: 01 December 1962 Publication History
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    References

    [1]
    CAUCHY, A.: Methode générale pour la résolution des systemes d'éqations simultanées. Comptes Rendus 25, 2, 536 (1847).
    [2]
    FORSYTHE, G. E., and W. R. WASOW: Finite-Difference Methods for Partial Differential Equations, pp. 224-225. New York: Wiley & Sons, 1959.
    [3]
    KANTOROVICH, L. V.: Functional Analysis and Applied Math., N. B. S. Report 1509 (out of print). Translated from the Russian by C. D. BENSTER (Uspekhi Matematicheskikh Nauk, vol. III, No. 6), pp. 89-185, 1948. Editor G.E. FORSYTHE.
    [4]
    STIEFEL, E.: Relaxation methoden bester Strategic zur Lösung linearer Gleichungssysteme. Comment. Math. Helv. 29, 157-179 (1955).
    [5]
    CURRY, H.: The Method of Steepest Descent for Non-Linear Minimization Problems. Quarterly Applied Math. 2, 258 (1944).
    [6]
    CROCKETT, J. B., and H. CHERNOFF: Gradient Methods of Maximization. Pacific J. Math. 5, 33 (1955).
    [7]
    VAINBERG, M. M.: On the Convergence of the Method of Steepest Descents for Non-Linear Equations. Amer. Math. Soc. Doklady Translations 1, 1 (1960).
    [8]
    CHENEY, E. W., and A. A. GOLDSTEIN: Newton's Method for Convex Programming and Tchebycheff Approximation. Numerische Mathematik 1, 263 (1959).
    [9]
    GOLDSTEIN, A. A., J. B. HERESHOFF and N. LEVINE: On the Best and Least qth Approximation of an Over-Determined System of Linear Equations. J. Assoc. Comp. Mach. 4, 3, 341 (1957).
    [10]
    HARDY, G. H., J. F. LITTLEWOOD and G. POLYA: Inequalities, p. 28. Cambridge 1934.
    [11]
    GLEYZAL, A. N.: Solution of Non-Linear Equations. Quarterly Applied Math. 95 (1959).

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        cover image Numerische Mathematik
        Numerische Mathematik  Volume 4, Issue 1
        December 1962
        453 pages

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        Springer-Verlag

        Berlin, Heidelberg

        Publication History

        Published: 01 December 1962

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