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Method of the generalized gradient for finding the absolute minimum of a convex function

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Literature Cited

  1. H. Busemann, Convex Surfaces, Wiley, New York (1958).

    Google Scholar 

  2. M. M. Vainberg, The Variational Method and the Method of Monotonic Operators [in Russian], Fizmatgiz, Moscow (1972).

    Google Scholar 

  3. E. G. Gol'shtein, “Generalized gradient method for finding saddle points” Ékonom. Mat. Metody,8, No. 4 (1972).

    Google Scholar 

  4. Yu. M. Ermol'ev, “Methods for solving nonlinear extremal problems,” Kibernetika, No. 4 (1966).

  5. B. T. Polyak, “A general method for solving extremal problems” Dok. Akad. Nauk SSSR174, No. 1 (1967).

    Google Scholar 

  6. Ch'ang Wang T'uk, “On certain iterative methods of block programming,” Candidate's Dissertation, Moscow (1972).

  7. N. Z. Shor, “Generalized gradient descent,” in: Proceedings of the First Winter School on Mathematical Programming, Drogobych [in Russian], Moscow (1969).

  8. N. Z. Shor, “On the structure of numerical algorithms for solving optimal planning and design problems,” Candidate's Dissertation, Institute of Cybernetics, Academy of Sciences of the Ukrainian SSR, Kiev (1964).

    Google Scholar 

  9. N. Z. Shor, “Methods for minimizing nondifferentiable functions,” Author's Abstract of Doctoral Dissertation, Kiev (1970).

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Translated from Kibernetika, No. 4, pp. 52–57, July–August, 1976.

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Shepilov, M.A. Method of the generalized gradient for finding the absolute minimum of a convex function. Cybern Syst Anal 12, 547–553 (1976). https://doi.org/10.1007/BF01070389

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  • DOI: https://doi.org/10.1007/BF01070389

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