求解非线性规划问题多个局部最优解的系统搜索方法

[1993] Proceedings of the Second International Forum on Applications of Neural Networks to Power Systems Pub Date : 1993-04-19 DOI:10.1109/ANN.1993.264304

H. Chiang, C. Chu

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引用次数: 3

摘要

针对一般非线性优化问题，提出了一种寻找局部极小值的系统方法。他们发展了准梯度系统和反射梯度系统的一些解析结果，并应用它们来探索目标函数临界点的拓扑方面。通过在拟梯度系统和反射梯度系统之间适当切换，该方法可以获得一组局部极小值。

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A systematic search method for obtaining multiple local optimal solutions of nonlinear programming problems

The authors propose a systematic method to find several local minima for general nonlinear optimizatioin problems. They develop some analytical results for a quasi-gradient system and reflected gradient system and apply them to explore the topological aspects of the critical points of the objective function. By properly switching between a quasi-gradient system and a reflected gradient system, the proposed method can obtain a set of local minima.<>

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[1993] Proceedings of the Second International Forum on Applications of Neural Networks to Power Systems

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