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

Feyzullah Ahmetoğlu

doi:10.1501/Commua1_0000000694

EN

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

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

Keywords

Convex function, Khun-Tucker conditions, minimization 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

Details

Primary Language

English

Subjects

-

Journal Section

-

Authors

Feyzullah Ahmetoğlu This is me

Publication Date

August 1, 2013

Submission Date

-

Acceptance Date

-

Published in Issue

Year 2013 Volume: 62 Number: 2

DOI

https://doi.org/10.1501/Commua1_0000000694

IZ

https://izlik.org/JA33KM43RF

Cite

RIS / Bibtex

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

1.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):11-15. doi:10.1501/Commua1_0000000694

Chicago

Ahmetoğlu, Feyzullah. 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.

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

[1]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, Aug. 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 1, 2013): 11-15. https://doi.org/10.1501/Commua1_0000000694.

JAMA

1.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, Aug. 2013, pp. 11-15, doi:10.1501/Commua1_0000000694.

Vancouver

1.Feyzullah 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. 2013 Aug. 1;62(2):11-5. doi:10.1501/Commua1_0000000694

Cited By

Quadratic programming with one quadratic constraint in Hilbert spaces

Annals of Functional Analysis

https://doi.org/10.1007/s43034-025-00422-8