摘要
研究复合函数高阶导数的计算机算法。给出了组成高阶导数的各项多项式与整数拆分的关系。通过寻找简便的整数拆分的计算机算法,得到了复合函数高阶导数与整数拆分相关的简便公式及计算机算法。
A computer algorithm for calculating the high-order derivatives of composite functions is developed. The relation between polynomials that constitute the high-order derivatives and integer partition is found out. By searching an easy computer algorithm of integer partition, a simple formula and a computer algorithm correlative with integer partition of high-order derivatives of composite functions are proposed.
出处
《中国海洋大学学报（自然科学版）》
CAS
CSCD
北大核心
2009年第1期149-152,共4页
Periodical of Ocean University of China
基金
国家自然科学基金项目(60574023,40776051)
山东省自然科学基金重点项目(Z2005G01)资助
关键词
复合函数
高阶求导
整数拆分
composite function
high-order derivation
integer partition
