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CALCULATION METHOD FOR QUADRATIC PROGRAMMING PROBLEM IN HILBERT SPACES, PARTIALLY ORDERED BY CONE WITH EMPTY INTERIOR

Year 2013, Volume: 62 Issue: 2, 11 - 15, 01.08.2013
https://doi.org/10.1501/Commua1_0000000694

Abstract

In the article, a numerical method for convex programming problem (with linear inequality) in Hilbert spaces is given. Firstly, by Khun-Tuckerconditions problem is reduced to minimize a convex funtional under nonnegative variables. Then, last problem is solved by coordinate descent method

References

  • [1] F.Ahmetoglu, Kuhn-Tucker conditions for a convex programming problem in Banach spaces partially ordered by cone with empty interior. Numerical Functional Analysis and Optimization, v. 33, 4, pp. 363-373, 2011.
  • [2] S.Y.Chen, S.Y.Wu, Algorithms for in…nite quadratic programming in Lp spaces. Journal of Computational and Applied Mathematics, v. 213, 2, pp. 408-422, 2008.
  • [3] S.Y. Wu, A cutting plane approach for solving quadratic in…nite programming on measure spaces. Journal of Global Optimization, v. 21, 1, pp. 67-87, 2001.
  • [4] J. Semple, In…nite positive-defnite quadratic programming in a Hilbert space. Journal of Optimization Theory and Applications, v. 88, 3, pp. 743-749, 1996
  • [5] S.C. Fang, C.J. Lin, S. Y. Wu, Solving quadratic semiin…nite programming problemsby using relaxed cutting-plane scheme. Journal of Computational and Applied Mathematics, v. 129, pp. 89-104, 2001. Current address : Faculty of Education, Giresun University, Giresun, TURKEY E-mail address : feyzullah.ahmetoglu@giresun.edu.tr URL: http://communications.science.ankara.edu.tr/index.php?series=A1
Year 2013, Volume: 62 Issue: 2, 11 - 15, 01.08.2013
https://doi.org/10.1501/Commua1_0000000694

Abstract

References

  • [1] F.Ahmetoglu, Kuhn-Tucker conditions for a convex programming problem in Banach spaces partially ordered by cone with empty interior. Numerical Functional Analysis and Optimization, v. 33, 4, pp. 363-373, 2011.
  • [2] S.Y.Chen, S.Y.Wu, Algorithms for in…nite quadratic programming in Lp spaces. Journal of Computational and Applied Mathematics, v. 213, 2, pp. 408-422, 2008.
  • [3] S.Y. Wu, A cutting plane approach for solving quadratic in…nite programming on measure spaces. Journal of Global Optimization, v. 21, 1, pp. 67-87, 2001.
  • [4] J. Semple, In…nite positive-defnite quadratic programming in a Hilbert space. Journal of Optimization Theory and Applications, v. 88, 3, pp. 743-749, 1996
  • [5] S.C. Fang, C.J. Lin, S. Y. Wu, Solving quadratic semiin…nite programming problemsby using relaxed cutting-plane scheme. Journal of Computational and Applied Mathematics, v. 129, pp. 89-104, 2001. Current address : Faculty of Education, Giresun University, Giresun, TURKEY E-mail address : feyzullah.ahmetoglu@giresun.edu.tr URL: http://communications.science.ankara.edu.tr/index.php?series=A1
There are 5 citations in total.

Details

Primary Language English
Journal Section Research Articles
Authors

Feyzullah Ahmetoğlu This is me

Publication Date August 1, 2013
Published in Issue Year 2013 Volume: 62 Issue: 2

Cite

APA Ahmetoğlu, F. (2013). CALCULATION METHOD FOR QUADRATIC PROGRAMMING PROBLEM IN HILBERT SPACES, PARTIALLY ORDERED BY CONE WITH EMPTY INTERIOR. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 62(2), 11-15. https://doi.org/10.1501/Commua1_0000000694
AMA Ahmetoğlu F. CALCULATION METHOD FOR QUADRATIC PROGRAMMING PROBLEM IN HILBERT SPACES, PARTIALLY ORDERED BY CONE WITH EMPTY INTERIOR. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. August 2013;62(2):11-15. doi:10.1501/Commua1_0000000694
Chicago Ahmetoğlu, Feyzullah. “CALCULATION METHOD FOR QUADRATIC PROGRAMMING PROBLEM IN HILBERT SPACES, PARTIALLY ORDERED BY CONE WITH EMPTY INTERIOR”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 62, no. 2 (August 2013): 11-15. https://doi.org/10.1501/Commua1_0000000694.
EndNote Ahmetoğlu F (August 1, 2013) CALCULATION METHOD FOR QUADRATIC PROGRAMMING PROBLEM IN HILBERT SPACES, PARTIALLY ORDERED BY CONE WITH EMPTY INTERIOR. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 62 2 11–15.
IEEE F. Ahmetoğlu, “CALCULATION METHOD FOR QUADRATIC PROGRAMMING PROBLEM IN HILBERT SPACES, PARTIALLY ORDERED BY CONE WITH EMPTY INTERIOR”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 62, no. 2, pp. 11–15, 2013, doi: 10.1501/Commua1_0000000694.
ISNAD Ahmetoğlu, Feyzullah. “CALCULATION METHOD FOR QUADRATIC PROGRAMMING PROBLEM IN HILBERT SPACES, PARTIALLY ORDERED BY CONE WITH EMPTY INTERIOR”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 62/2 (August 2013), 11-15. https://doi.org/10.1501/Commua1_0000000694.
JAMA Ahmetoğlu F. CALCULATION METHOD FOR QUADRATIC PROGRAMMING PROBLEM IN HILBERT SPACES, PARTIALLY ORDERED BY CONE WITH EMPTY INTERIOR. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2013;62:11–15.
MLA Ahmetoğlu, Feyzullah. “CALCULATION METHOD FOR QUADRATIC PROGRAMMING PROBLEM IN HILBERT SPACES, PARTIALLY ORDERED BY CONE WITH EMPTY INTERIOR”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 62, no. 2, 2013, pp. 11-15, doi:10.1501/Commua1_0000000694.
Vancouver Ahmetoğlu F. CALCULATION METHOD FOR QUADRATIC PROGRAMMING PROBLEM IN HILBERT SPACES, PARTIALLY ORDERED BY CONE WITH EMPTY INTERIOR. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2013;62(2):11-5.

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.

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