Skip to main content

Method of regularized approximations and its application to convex programming

  • Mathematical Programming: Algorithms
  • Conference paper
  • First Online:
Optimization Techniques

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 23))

  • 166 Accesses

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

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Antipin A.C., Method of regularization in convex programming. Economics and Mathematical Methods 11 (2)(1975) 336–342 (in Russian).

    Google Scholar 

  2. Gol'shtein E.G., Tretyakov N.V., The gradient method of minimization and algorithms of convex programming based on modefied Lagrangian functions. Economics and Mathematical Methods 11 (4) (1975) 730–742 (in Russian).

    Google Scholar 

  3. Powell M.J.D., Algorithms for nonlinear constraints that use Langrange functions. Mathematical Programming 14 (1978) 224–248.

    Google Scholar 

  4. Rockafellar R.T., Monotone operators and the proximal point algorithm. SIAM J. Control Opt. 14 (1976) 877–898.

    Google Scholar 

  5. Sosnowski J.S., Linear programming via augmented Lagrangians and conjugate gradient method, presented at International Conference on Methods of Mathematical Programming, Zakopane, Poland, 1977.

    Google Scholar 

  6. Sosnowski J.S., Dynamic optimization of multisector linear production model. Systems Research Institute, Warszawa, Ph.D. Thesis 1978 /in Polish/.

    Google Scholar 

  7. Tikhonov A.A., Arsenin V.Y., Methods of solution in correct problems. Nauka Moscow 1974.

    Google Scholar 

  8. Wierzbicki A.P., A quadratic approximation method based on augmented Lagrangian functions for nonconvex nonlinear programming problems. IIASA WP-78-61, Laxenburg, Austria, 1978.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

K. Iracki K. Malanowski S. Walukiewicz

Rights and permissions

Reprints and permissions

Copyright information

© 1980 Springer-Verlag

About this paper

Cite this paper

Sosnowski, J.S. (1980). Method of regularized approximations and its application to convex programming. In: Iracki, K., Malanowski, K., Walukiewicz, S. (eds) Optimization Techniques. Lecture Notes in Control and Information Sciences, vol 23. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0006594

Download citation

  • DOI: https://doi.org/10.1007/BFb0006594

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10081-2

  • Online ISBN: 978-3-540-38253-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics