Literature cited
É. L. Akim and T. M. Éneev, “Determination of the motion of a cosmic device from trajectory measurements,” in: Cosmic Investigations [in Russian], Vol.1, No.1, Izd-vo AN SSSR, Moscow (1963), pp. 45–48.
E. F. Bekenbach, Contemporary Mathematics for Engineers [Russian translation], IL, Moscow (1959).
I. S. Berezin and N. P. Zhidkov, Numerical Methods [in Russian], Vol.2, Fizmatgiz, Moscow (1962).
M. K. Gavurin, “Nonlinear function equations and continuous analogs of iterative methods,” Izv. Vyssh. Uchebn. Zav., Matematika 5(6) (1958).
B. A Galanov, “A method of deriving processes for the solution of nonlinear equations,” Dokl. Akad. Nauk URSR,12 (1965).
B. A. Galanov, “Gradient methods for solving systems of linear algebraic equations,” Dokl. Akad. Nauk URSR,12 (1966).
D. F. Davidenko, “Approximate solution of systems of nonlinear equations,” Ukrainsk Matern. Zh.,5, No.2 (1953).
D. F. Davidenko, “Application of the method of variation of parameters in the derivation of iterative formulas for improving accuracy in the determination of solutions of nonlinear integral equations,” Dokl. Akad. Nauk SSSR,162, No.3 (1965).
V. A. Matveev, “A method for the approximate solution of linear-equation systems,” Zh. Vichisl. Matem, i Matem. Fiz.,4, No.6 (1964).
B. T. Polyak and B. N. Shostokovskii, “A problem in the maximization of a function of several variables,” in: Computing Methods and Programming [in Russian], Izd-vo MG, No.5 (1966).
L. S. Pontryagin, Ordinary Differential Equations [in Russian], Izd-vo Nauka, Moscow (1965).
S. S. Savenko, “The solution of algebraic and transcendental equations by using solutions of differential equations,” in: Application of Mathematical Methods and Numerical Techniques in Mining Engineering [in Russian], Nedra, Moscow (1965).
D. K. Faddeev and V. N. Faddeeva, Numerical Methods of Linear Algebra [in Russian], Fizmatgiz, Moscow (1963).
Author information
Authors and Affiliations
Additional information
Translated from Ukrainskii Matematicheskii Zhurnal, Vol.20, No.5, pp.579–585, September–October, 1968.
Rights and permissions
About this article
Cite this article
Galanov, B.A., Malakhovskaya, S.N. Realization of a variation of the relaxation method. Ukr Math J 20, 503–508 (1968). https://doi.org/10.1007/BF01091994
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01091994