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Convex programming and variational inequalities

  • O. G. Mancino
  • G. Stampacchia
Contributed Papers

Abstract

We observe that variational inequalities generalize convex programming. We look here for a method of computing solutions of variational inequalities in a finite-dimensional space. The method we propose is quite close to the method of Theil-Van de Panne described in Ref. 1 in the case of quadratic programming.

Keywords

Variational Inequality Quadratic Programming Convex Programming Generalize Convex Programming 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    Boot, J. C. G.,Quadratic Programming, North-Holland Publishing Company, Amsterdam, Holland, 1964.Google Scholar
  2. 2.
    Stampacchia, G.,Variational Inequalities, Theory and Applications of Monotone Operators, Proceedings of the NATO Advanced Study Institute, Venice, Italy, 1968 (Edizioni Oderisi, Gubbio, Italy, 1968).Google Scholar
  3. 3.
    Rockafellar, R. T.,Convex Functions, Monotone Operators, and Variational Inequalities, Theory and Applications of Monotone Operators, Proceedings of the NATO Advanced Study Institute, Venice, Italy, 1968 (Edizioni Oderisi, Gubbio, Italy, 1968).Google Scholar
  4. 4.
    Mancino, O. G.,Esistenza, Unicitá e Calcolo della Soluzione di un Sistema Non Lineare, Calcolo, Vol. 7, No. 3, 1970.Google Scholar
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    Mancino, O. G.,Resolution by Iteration of Some Nonlinear Systems, Journal of the Association for Computing Machinery, Vol. 14, No. 2, 1967.Google Scholar

Copyright information

© Plenum Publishing Corporation 1972

Authors and Affiliations

  • O. G. Mancino
    • 1
  • G. Stampacchia
    • 2
  1. 1.Istituto di Elaborazione della InformazioneCNRPisaItaly
  2. 2.Istituto per le Applicazioni del CalcoloCNRRomaItaly

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