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Reseach Article

Study on the Effectiveness of Classical Fritz John Conditions

Published on February 2013 by Amrita Pal, Prashant Chauhan, Paras Bhatnagar
International Conference on Advances in Computer Application 2013
Foundation of Computer Science USA
ICACA2013 - Number 1
February 2013
Authors: Amrita Pal, Prashant Chauhan, Paras Bhatnagar
543defd5-6b26-466b-81bf-31bb1fc97bd6

Amrita Pal, Prashant Chauhan, Paras Bhatnagar . Study on the Effectiveness of Classical Fritz John Conditions. International Conference on Advances in Computer Application 2013. ICACA2013, 1 (February 2013), 11-15.

@article{
author = { Amrita Pal, Prashant Chauhan, Paras Bhatnagar },
title = { Study on the Effectiveness of Classical Fritz John Conditions },
journal = { International Conference on Advances in Computer Application 2013 },
issue_date = { February 2013 },
volume = { ICACA2013 },
number = { 1 },
month = { February },
year = { 2013 },
issn = 0975-8887,
pages = { 11-15 },
numpages = 5,
url = { /proceedings/icaca2013/number1/10389-1005/ },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Proceeding Article
%1 International Conference on Advances in Computer Application 2013
%A Amrita Pal
%A Prashant Chauhan
%A Paras Bhatnagar
%T Study on the Effectiveness of Classical Fritz John Conditions
%J International Conference on Advances in Computer Application 2013
%@ 0975-8887
%V ICACA2013
%N 1
%P 11-15
%D 2013
%I International Journal of Computer Applications
Abstract

The classical Fritz John conditions have been enhanced through the addition of an extra necessary condition, and their effectiveness has been significantly improved (for the case where X is a closed convex set, and Bertsekas and Ozdaglar [1] for the case where X is a closed set). In this paper we will use the following assumptions instead of smoothness and the assumption of existence of an optimal solution will retain.

References
  1. Bertsekas, D. P. , and Ozdaglar, A. E. , 2002. "Pseudonormality and a Lagrange Multiplier Theory for Constrained Optimization," J. Opt. Theory Appl. , Vol. 114, 2002, pp. 287-343.
  2. John, F. , 1948. "Extremum Problems with Inequalities as Subsidiary Conditions," in Studies and Essays: Courant Anniversary Volume, K. O. Friedrichs, Neugebauer, O. E. , and Stoker, J. J. , (Eds. ), Wiley-Interscience, N. Y. , pp. 187-204.
  3. Rockafellar, R. T. , 1970. Convex Analysis, Princeton Univ. Press, Princeton, N. J. 40.
  4. Song Xu, "A non-interior path following method for convex quadratic programming problems with bound constraints," Comput. Optim. Applic. , vol. 27, pp. 285–303, 2004.
  5. Treves, F. (1967), Locally Convex Spaces and Linear Partial Differential Equations, Springer Verlag, New-York.
  6. Truong, X. D. H. (1994), On the existence of efficient points in locally convex spaces, J. Global Optimization, 4, 265–278.
  7. Wang J. L. , Zhang M. W. , and Du T. S. , "A primal-dual infeasible interior point algorithm for separable convex quadratic programming with box constraints," J. Hebei Normal University, Natural Science Edition, vol. 26, no. 6, pp. 568–572, 587, 2002.
Index Terms

Computer Science
Information Sciences

Keywords

Fritz John Conditions Lower Semicontinuous Functions Convex Programming Problem