Duality Gap and Quadratic Programming, Part II: Dual Bounds of a Quadratic Programming Problem and Applications*

Ch. Daili; N. Daili; B. Merikhi

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Duality Gap and Quadratic Programming, Part II: Dual Bounds of a Quadratic Programming Problem and Applications*

机译：对偶间隙和二次规划，第二部分：二次规划问题的双重边界和应用*

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摘要

We studied problems of quadratic programming: the function to be minimized as well as the constraints are of two categories. We calculated β by an interior-point method. Applications illustrating this method are provided.

机译：我们研究了二次规划的问题：要最小化的函数以及约束是两类的。我们通过内点法计算了β。提供了说明该方法的应用程序。

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来源
《Pacific journal of applied mathematics》 |2011年第4期|共22页
作者
Ch. Daili; N. Daili; B. Merikhi;
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原文格式 PDF
正文语种 eng
中图分类 O2;
关键词
Quadratic programming; Duality gap; Dual bounds; Interior points Algorithm;

机译：二次规划;对偶间隙;对界;内点算法;

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专利

1. Duality Gap and Quadratic Programming, Part II: Dual Bounds of a Quadratic Programming Problem and Applications* [J] . Ch. Daili, N. Daili, B. Merikhi Pacific journal of applied mathematics . 2011,第4期

机译：对偶间隙和二次规划，第二部分：二次规划问题的双重边界和应用*
2. On Lagrangian duality gap of quadratic fractional programming with a two-sided quadratic constraint [J] . Yang Meijia, Xia Yong Optimization Letters . 2020,第3期

机译：对双面二次约束的二次分数规划的拉格朗日二元间隙
3. A simple duality proof in convex quadratic programming with a quadratic constraint, and some applications [J] . Mustafa C. Pinar European Journal of Operational Research . 2000,第1期

机译：具有二次约束的凸二次规划中的简单对偶证明及一些应用
4. Duality and Solutions for Quadratic Programming over Single Non-Homogeneous Quadratic Constraint [C] . Joe-Mei Feng, Gang-Xuan Lin, Reuy-Lin Sheu, The 8th international conference on optimization: Techniques and Applications . 2010

机译：非齐次二次约束上二次规划的对偶性与解
5. Quadratic 0-1 programming: Geometric methods and duality analysis. [D] . Liu, Chunli. 2008

机译：二次0-1编程：几何方法和对偶分析。
6. Optimal Deconvolution of Transcriptional Profiling Data Using Quadratic Programming with Application to Complex Clinical Blood Samples [O] . Ting Gong, Nicole Hartmann, Isaac S. Kohane, 2011

机译：二次编程优化转录谱数据的反卷积及其在复杂临床血液样本中的应用
7. A simple duality proof in convex quadratic programming with a quadratic constraint, and some applications [O] . Pinar, M. C. 2000

机译：具有二次约束的凸二次规划中的简单对偶证明及一些应用
8. Duality in Discrete Programming: Ii. The Quadratic Case [R] . Balas, E. 1967

机译：离散规划的对偶性：Ii。二次情形

Duality Gap and Quadratic Programming, Part II: Dual Bounds of a Quadratic Programming Problem and Applications*

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