A Neural Network Methodology of Quadratic Optimization with Quadratic Equality Constraints

机译：具有二次等式约束的二次优化的神经网络方法

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This paper presents a feedback recurrent neural network for solving the quadratic programming with quadratic equality constraint (QPQEC) problems based on project theory and energy function. In the theoretical aspect, we prove that the proposed neural network has one unique continuous solution trajectory and the equilibrium point of neural network is stable and convergent when the initial point is given. Employing the idea of successive approximation and convergence theorem from [6], the optimal solution of QPQEC problem can be obtained. The simulation result also shows that the proposed feedback recurrent neural network is feasible and efficient.

机译：本文提出了一种基于项目理论和能量函数的求解带有二次等式约束（QPQEC）问题的二次规划的反馈递归神经网络。从理论上讲，我们证明了所提出的神经网络具有唯一的连续解轨迹，并且在给出初始点时神经网络的平衡点是稳定且收敛的。利用[6]的逐次逼近和收敛定理，可以得到QPQEC问题的最优解。仿真结果还表明，所提出的反馈递归神经网络是可行和有效的。

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来源
《International Symposium on Neural Networks(ISNN 2005) pt.1; 20050530-0601; Chongqing(CN)》|2005年|P.706-711|共6页
会议地点 Chongqing(CN)
作者
Yongqing Yang; Jinde Cao; Daqi Zhu;
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作者单位

School of Science, Southern Yangtze University, Wuxi 214063, China;

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原文格式 PDF
正文语种 eng
中图分类计算机网络;
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专利

1. A Dynamical Systems Analysis of Semidefinite Programming with Application to Quadratic Optimization with Pure Quadratic Equality Constraints [J] . R. J. Orsi, R. E. Mahony, J. B. Moore Applied mathematics and optimization . 1999,第2期

机译：半定规划的动力学系统分析及其在具有纯二次等式约束的二次优化中的应用
2. Global Optimization of a Quadratic Functional with Quadratic Equality Constraints, Part 2 [J] . J. R. Bar-On, K. A. Grasse Journal of Optimization Theory and Applications . 1997,第3期

机译：具有二次等式约束的二次函数的全局优化，第2部分
3. Analytical Solutions to the Optimization of a Quadratic Cost Function Subject to Linear and Quadratic Equality Constraints [J] . I. Thng, A. Cantoni, Y. H. Leung Applied mathematics and optimization . 1996,第2期

机译：线性和二次等式约束下二次成本函数优化的解析解
4. A Neural Network Methodology of Quadratic Optimization with Quadratic Equality Constraints [C] . Yongqing Yang, Jinde Cao, Daqi Zhu International Symposium on Neural Networks . 2005

机译：二次平等约束二次优化的神经网络方法
5. Infeasible-start constraint-reduced methods for linear and convex quadratic optimization. [D] . He, Meiyun. 2012

机译：线性和凸二次优化的不可行开始约束减少方法。
6. Robust Optimization in IMPT Using Quadratic Objective Functions to account for the minimum MU constraint [O] . Jie Shan, Yu An, Martin Bues, -1

机译：使用二次目标函数解决最小MU约束的IMPT中的稳健优化
7. A RANK PRESERVING FLOW ALGORITHM FOR QUADRATIC OPTIMIZATION PROBLEMS SUBJECT TO QUADRATIC EQUALITY CONSTRAINTS [O] . John B. Moore, Danchi Jiang 2013

机译：二次均等约束下二次优化问题的保序流算法
8. Quadratic Optimisation with One Quadratic Equality Constraint [R] . Hmam, H. 2010

机译：一次二次等式约束的二次优化

A Neural Network Methodology of Quadratic Optimization with Quadratic Equality Constraints

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