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    基于降维的填充函数方法

    A Filled Function Method Based on Dimensionality Reduction

    • 摘要: 提出了一个基于降维技术的填充函数方法,用以求解箱约束非线性全局优化问题。首先利用降维变换将n维问题转化为一维问题,其次对一维问题运用填充函数方法求解,证明了降维填充函数的理论性质,并给出了算法和数值实验结果。

       

      Abstract: This paper presents a filled function method based on reducing dimension technology.The method will be used for the nonlinear global optimization problems with box constraints.Firstly,a reducing transformation is used to convert an n-variable problem into a one-variable problem.Secondly,the one-variable problem is solved by filled function method.The paper proves the theoretical characteristic of filled function,gives the algorithm and lists the experimental results at last.

       

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