Literature Cited
V. N. Strakhov, “On the state and problems of geological interpretation of gravitational and magnetic observational data,” Abstracts of the All-Union Scientific-Technical Geophysical Conference [in Russian], Moscow (1972).
S. V. Shalaev, G. G. Kravtsov, and V. A. Dyadyura, “Linear programming in gravitation prospecting,” Vopr. Razved. Geofiz., No. 8 (1968).
E. G. Bulakh, Automated System for the Interpretation of Gravitational Anomalies [in Russian], Naukova Dumka, Kiev (1973).
V. B. Glasko, B. A. Volodin, E. A. Mudretsova, and I. Yu. Nefedova, “On the solution of the inverse problem of gravimetry for contact surfaces, on the basis of a regularization method,” Izv. Akad. Nauk SSSR, Fiz. Zemli, No. 2 (1973).
A. N. Tikhonov, “On the stability of inverse problems,” Dokl. Akad. Nauk SSSR,39, No. 5 (1943).
A. N. Tikhonov and V. B. Glasko, “Application of the regularization method in nonlinear problems,” Zh. Vychisl. Mat. Mat. Fiz.,5, No. 3 (1965).
M. M. Lavrent'ev, “On the statement of incorrect problems of mathematical physics,” in: Certain Questions of Computational and Applied Mathematics [in Russian], Novosibirsk (1966).
Yu. M. Ermol'ev and N. Z. Shor, “On the minimization of undifferentiable functions,” Kibernetika, No. 1 (1967).
O. A. Shvank and E. I. Lyustikh, The Interpretation of Gravitational Anomalies [in Russian], Gostoptekhizdat, Moscow (1947).
N. Z. Shor and N. G. Zhurbenko, “A minimization method using the operation of dilatation of space in the direction of the difference of two successive gradients,” Kibernetika, No. 3 (1971).
N. Z. Shor and L. P. Shanshanova, “On the solution of minimax problems by a method of generalized gradient descent with dilatation of the space,” Kibernetika, No. 1 (1972).
Yu. V. Linnik, The Least-Squares Method in the Reduction of Observational Data [in Russian], Moscow (1961).
Additional information
Translated from Kibernetika, No. 2, pp. 57–64, March–April, 1976.
Rights and permissions
About this article
Cite this article
Ovrutskii, I.G., Shor, N.Z. Application of methods of minimization of nonsmooth functions to the interpretation of gravimetric observations. Cybern Syst Anal 12, 232–239 (1976). https://doi.org/10.1007/BF01069892
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01069892