Skip to main content
Log in

Investigation of some parametric convex programming problems

  • Optimization and Control Methods
  • Published:
Computational Mathematics and Modeling Aims and scope Submit manuscript

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. E. S. Levitin, ’Theory of finite-dimensional parametric optimization,’ in: Optimization Models and Methods [in Russian], No. 19, VNIISI, Moscow (1986), pp. 12–27.

    Google Scholar 

  2. E. S. Levitin, ’Differential properties of the perturbation function and solution of parametric extremal problems,’ in: Optimization Models and Methods [in Russian], No. 11, VNIISI, Moscow (1987).

    Google Scholar 

  3. E. S. Levitin, ’Methods of perturbation theory of extremal problems for the analysis of complex systems,’ in: ’Optimization Methods [in Russian], No. 12, VNIISI, Moscow (1984), pp. 15–29.

    Google Scholar 

  4. A. E. Ilyutovich and E. S. Levitin, Theory and Decomposition Methods for Blocked Extremal Problems [in Russian], Preprint, VNIISI, Moscow (1987).

    Google Scholar 

  5. A. I. Hoffman, ’On approximate solutions of systems of linear inequalities,’ J. Res. NBS,49, No. 4, 263–265 (1952).

    Google Scholar 

  6. E. S. Levitin, A. A. Milyutin, and N. P. Osmolovskii, ’Theory of high-order conditions in smooth constrained-extremum problems,’ in: Theoretical and Applied Topics of Optimal Control [in Russian], Nauka, Novosibirsk (1985), pp. 4–40.

    Google Scholar 

  7. V. F. Dem'yanov and A. B. Pevnyi, ’Marginal values of mathematical programming problems and minimax problems,’ Vestnik LGU, Ser. Matem., Mekh., Astron.,19, No. 4, 35–41 (1973).

    Google Scholar 

  8. V. G. Karmanov, Mathematical Programming [in Russian], 2nd ed., Nauka, Moscow (1980).

    Google Scholar 

  9. B. N. Pshenichnyi, Necessary Conditions of Extremum [in Russian], 2nd ed., Nauka, Moscow (1982).

    Google Scholar 

  10. B. N. Pshenichnyi, Convex Analysis and Extremal Problems [in Russian], Nauka, Moscow (1982).

    Google Scholar 

Download references

Authors

Additional information

Translated from Optimal'nost’ Upravlyaemykh Dinamicheskikh Sistem, No. 19, pp. 20–29, Vsesoyuznyi Nauchno-Issledovatel'skii Institut Sistemnykh Issledovanii, Moscow (1988).

Rights and permissions

Reprints and permissions

About this article

Cite this article

Levitin, E.S. Investigation of some parametric convex programming problems. Comput Math Model 3, 402–409 (1992). https://doi.org/10.1007/BF01133068

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01133068

Keywords

Navigation