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Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2013 / Cilt: 62 - Sayı: 2

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

Feyzullah AHMETOĞLU
Pages
11–15
Publication Date
2013-08-01
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Then, last problem is solved by coordinate descent method

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In the article, a numerical method for convex programming problem (with linear inequality) in Hilbert spaces is given.
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Key Findings & Data:Firstly, by Khun-Tuckerconditions problem is reduced to minimize a convex funtional under nonnegative variables.
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Conclusion & Impact:Then, last problem is solved by coordinate descent method
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Convex function · Khun-Tucker conditions · minimization method

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

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Cite This Article

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, Cilt: 62 - Sayı: 2, 11–15. https://ajindex.com/articles/747391

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References (4)

  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: [email protected] URL: http://communications.science.ankara.edu.tr/index.php?series=A1