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| 一类求解退化凸二次规划的投影神经网络 | |
| 引用本文： | 单彩虹,武怀勤. 一类求解退化凸二次规划的投影神经网络[J]. 五邑大学学报(自然科学版), 2009, 23(1): 57-62 |
| 作者姓名： | 单彩虹 武怀勤 |
| 作者单位： | 燕山大学,理学院,河北,秦皇岛,066004 |
| 摘 要： | 借助变分不等式和Kuhn—Tucker条件，构造了一类投影神经网络求解线性约束的退化凸二次规划问题．与已有的求解退化凸规划问题的神经网络系统相比，系统的适用范围更广；在理论方面，系统是全局收敛的；数值实例显示了所得结论的有效性和正确性． |
| 关 键 词： | 退化凸二次规划 投影神经网络 变分不等式 K-T条件 全局收敛 |
A Projection Neural Network for Solving the Degenerate Quadratic Program |
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| SHAN Cai-hong,WU Huai-qin. A Projection Neural Network for Solving the Degenerate Quadratic Program[J]. Journal of Wuyi University(Natural Science Edition), 2009, 23(1): 57-62 | |
| Authors: | SHAN Cai-hong WU Huai-qin |
| Affiliation: | (College of Science, Yanshan University, Qinhuangdao 066004, China) |
| Abstract: | By making use of variational inequality and Kuhn-Tucker conditions, we develop a projection neural network for solving degenerate quadratic programming problems with general linear constraints. Compared with the existing neural networks for solving degenerate convex quadratic program, the proposed neural network has a wider domain for implementation. In the theoretical aspects, the proposed neural network is shown to have global convergence. Illustrative examples show that the proposed neural network is effective and correct. |
| Keywords: | degenerate convex quadratic program projection neural network variational inequality Kuhn-Tucker conditions global convergence |
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