径向基函数插值中的一种新的重启动策略

A New Type of Restarting Strategy for Radial Basis Function Interpolation

针对径向基函数插值方法,提出了一种新的重启动策略来改进径向基的优化效果.在采用SLHD(symmetry Latin Hypercube design,对称拉丁超立方设计)方法换新的初始点对优化效果没有太大改进的时候,提出了一种更换径向基函数的重启动策略,可以取得更好的优化效果.通过数值算例说明了采用这种新的重启动策略在迭代次数上的优越性.

We propose a new restarting strategy to improve the optimization effect of the radial basis func-tion interpolation method.When there is little improvement by using new initial points in the SLHD （sym-metry Latin Hypercube design） method,we propose a restarting strategy of replacing the radial basis func-tion which yields better numerical optimization performance. Then we illustrate the advantages of restar-ting strategy by some numerical examples.