Literature Cited
H. Busemann, Convex Surfaces, Wiley, New York (1958).
M. M. Vainberg, The Variational Method and the Method of Monotonic Operators [in Russian], Fizmatgiz, Moscow (1972).
E. G. Gol'shtein, “Generalized gradient method for finding saddle points” Ékonom. Mat. Metody,8, No. 4 (1972).
Yu. M. Ermol'ev, “Methods for solving nonlinear extremal problems,” Kibernetika, No. 4 (1966).
B. T. Polyak, “A general method for solving extremal problems” Dok. Akad. Nauk SSSR174, No. 1 (1967).
Ch'ang Wang T'uk, “On certain iterative methods of block programming,” Candidate's Dissertation, Moscow (1972).
N. Z. Shor, “Generalized gradient descent,” in: Proceedings of the First Winter School on Mathematical Programming, Drogobych [in Russian], Moscow (1969).
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).
N. Z. Shor, “Methods for minimizing nondifferentiable functions,” Author's Abstract of Doctoral Dissertation, Kiev (1970).
Additional information
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