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Nelder-Mead单纯形算法改进及在气象上的应用
引用本文:张正秋.Nelder-Mead单纯形算法改进及在气象上的应用[J].应用气象学报,2011,22(5).
作者姓名:张正秋
作者单位:中国气象科学研究院,北京,100081
摘    要:Nelder-Mead Simplex (NMS)算法是一种查找多元函数局地最小值的无微分算法,在现代科学计算中得到广泛应用,该文提出了一种对NMS算法的改进方法.改进后,大大简化了其计算过程,提高了该算法的收敛速度.利用改进后的算法对陆面过程参数进行了拟合计算,结果表明:改进的NMS算法对非线性公式具有非常高的拟合精度,可将其应用于气象学上非线性问题计算或非线性方程组求解.

关 键 词:NMS算法  改进  无微分  气象学  非线性应用

Improvement on the Nelder-Mead Simplex Algorithm and Its Application to Meteorology
Zhang Zhengqiu.Improvement on the Nelder-Mead Simplex Algorithm and Its Application to Meteorology[J].Quarterly Journal of Applied Meteorology,2011,22(5).
Authors:Zhang Zhengqiu
Affiliation:Zhang Zhengqiu (Chinese Academy of Meteorological Sciences,Beijing 100081)
Abstract:Owing to computers providing great advantage in iterative calculation,the non-derivative algorithms have great potential applications to scientific research.Nelder-Mead Simplex(NMS) algorithm is a technique for minimizing an objective function in a multiple-dimensional space without differentiation,proposed by Nelder and Mead(1965).As a simple non-derivative technique,NMS algorithm is widely introduced in many computational books and used in numerical computations,and Matlab implements this algorithm for in...
Keywords:NMS algorithm  improvement  non-derivative  meteorology  nonlinear application  
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