Taylor公式在最优化中的应用

Application of Taylor Formula in Optimization Problems

为了解Taylor公式在最优化理论和最优算法中进一步的应用,通过分析、讨论一些基本理论和算法中Taylor公式的作用,得到了无约束局部最优解问题的最优条件以及修正、加强了最优化算法中寻求搜索方向和函数逼近式的几个方法。

The article discusses the application of Taylor formula in optimality conditions and the optimized algorithm which seeks the search direction or function approximation by using the Taylor formula. It is of great significance for us to have a better understanding of Taylor formula＇s great function, to exploit students＇ ways to thinking about problems, to improve students＇ ability in analyzing and solving problems.