| 求解广义非线性互补问题的神经网络 |
| |
| 引用本文： | 杜丽莉.求解广义非线性互补问题的神经网络[J].陕西师范大学学报,2005,33(1):19-22. |
| |
| 作者姓名： | 杜丽莉 |
| |
| 作者单位： | 陕西师范大学数学与信息科学学院,陕西西安710062 |
| |
| 基金项目： | 陕西师范大学重点科研基金资助项目(995091) |
| |
| 摘 要： | 研究了广义非线性互补问题，将其转化为等价的无约束优化问题，给出了求解它的二个神经网络模型．分析了新模型的平衡点与互补问题解的关系，证明了其稳定性和平衡．占、集的渐近稳定性，并给出了其渐近收敛的充分条件．新模型可用来求解一类非单调的问题．
|
| 关 键 词： | 非线性互补问题 求解 非单调 渐近稳定性 无约束优化问题 等价 收敛 神经网络模型 广义 平衡点 |
| 文章编号： | 1672-4291(2005)01-0019-03 |
| 修稿时间： | 2004年3月21日 |
Neural networks for solving generalized nonlinear complementarity problems |
| |
| DU Li-li.Neural networks for solving generalized nonlinear complementarity problems[J].Journal of Shaanxi Normal University: Nat Sci Ed,2005,33(1):19-22. |
| |
| Authors: | DU Li-li |
| |
| Abstract: | The generalized nonlinear complementarity problem is studied. Two neural networks for solving it are proposed by formulating it as an equivalent unconstrained optimization problem. The relationships between the equilibrium point of the proposed networks and the solution to the original problem are analyzed. The stability of the proposed networks and asymptotic stability of their equilibrium point sets are also shown. Sufficient conditions are provided to ensure the asymptotic convergence of the proposed networks. The new models can be applied to solve a class of nonmonotone problems. |
| |
| Keywords: | generalized complementarity problem neural network equilibrium point stability |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
