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

Yıl 2013, Cilt: 62 Sayı: 2, 11 - 15, 01.08.2013
https://doi.org/10.1501/Commua1_0000000694

Öz

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

Kaynakça

  • [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
Yıl 2013, Cilt: 62 Sayı: 2, 11 - 15, 01.08.2013
https://doi.org/10.1501/Commua1_0000000694

Öz

Kaynakça

  • [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
Toplam 5 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Research Article
Yazarlar

Feyzullah Ahmetoğlu Bu kişi benim

Yayımlanma Tarihi 1 Ağustos 2013
Yayımlandığı Sayı Yıl 2013 Cilt: 62 Sayı: 2

Kaynak Göster

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. Ağustos 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, sy. 2 (Ağustos 2013): 11-15. https://doi.org/10.1501/Commua1_0000000694.
EndNote Ahmetoğlu F (01 Ağustos 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., c. 62, sy. 2, ss. 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 (Ağustos 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, c. 62, sy. 2, 2013, ss. 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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