Skip to main content
Log in

Investigation of the total error in minimization of functionals with constraints

  • Published:
Ukrainian Mathematical Journal 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. B. T. Polyak, “Gradient methods for minimization of functionals,” Zh. Vychisl. Matem, i Matem. Fiz.,3, No. 4 (1963).

  2. M. M. Vainberg, “Convergence of the steepest descent process for nonlinear equations,” SMZh,2, No. 2 (1961).

  3. E. S. Levitin and B. T. Polyak, “Minimization methods for constrained problems,” Zh. Vychisl. Matern, i Matern. Fiz.,6, No. 5 (1966).

  4. S. G. Mikhlin, Numerical Implementation of Variational Methods [in Russian], Nauka, Moscow (1966).

    Google Scholar 

  5. A. N. Tikhonov, “Stability of the problem of optimization of functionals,” Zh. Vychisl. Matem, i Matem. Fiz.,6, No. 4 (1966).

  6. N. S. Smirnov, Introduction to the Theory of Nonlinear Integral Equations [in Russian], ONTI (1936).

  7. M. A. Krasnosel'skii, Topological Methods in the Theory of Nonlinear Integral Equations [in Russian], Gostekhizdat, Moscow (1956).

    Google Scholar 

  8. M. D. Babich and V. V. Ivanov, “Estimate of total error in solving nonlinear operator equations by simple iterations,” Zh. Vychisl. Matem. i Matem. Fiz.,7, No. 5 (1967).

  9. I. H. Wilkinson, “Rounding errors in algebraic processes,” Her Majesty's Stationery Office, London (1963).

    Google Scholar 

  10. L. V. Kantorovich and G. P. Akilov, Functional Analysis in Normed Spaces [in Russian], Fizmatgiz, Moscow (1959).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 21, No. 1, pp. 3–14, January–February, 1969.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Babich, M.D., Ivanov, V.V. Investigation of the total error in minimization of functionals with constraints. Ukr Math J 21, 1–10 (1969). https://doi.org/10.1007/BF01086676

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01086676

Keywords

Navigation