Skip to main content
Log in

A minimization method using the operation of extension of the space in the direction of the difference of two successive gradients

  • Published:
Cybernetics Aims and scope

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Literature Cited

  1. N.Z. Shor, “The use of space extension in problems of minimizing convex functions,” Kibernetika,6, No. 1, Kiev (1970).

  2. N.Z. Shor, “The rate of convergence of the generalized gradient descent method with space extension,” Kibernetika,6, No. 2, Kiev (1970).

  3. Yu.I. Lyubich, “The general theory of relaxation processes for convex functionals,” Usp. Matem. Nauk, No. 1, Moscow (1970).

  4. B.T. Polyak, “The conjugate gradient method,” Proceedings of the 2nd Winter School on Mathematical Programming and Allied Problems (Drogobych) [in Russian], No. 1, Moscow (1969).

  5. H. Rosenbrock and C. Storey, Computational Methods for Chemical Engineers, Pergamon (1965).

  6. H.I. Huang and A.V. Levy, “Experiments on quadratically convergent algorithms for function minimization,” J. Optimization Theory and Applications,3, No. 6 (1970).

Download references

Authors

Additional information

Translated from Kibernetika, No. 3, pp. 51–59, May–June, 1971.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Shor, N.Z., Zhurbenko, N.G. A minimization method using the operation of extension of the space in the direction of the difference of two successive gradients. Cybern Syst Anal 7, 450–459 (1971). https://doi.org/10.1007/BF01070454

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01070454

Keywords

Navigation