%0 Journal Article
%T ALGORITHMS OF AUTOMATIC DIFFERENTIATION<br>自动微分的原理和方法
%A Cheng Qiang
%A Zhang Haibin
%A Wang Bin
%A <br>程强
%A 张海斌
%A 王斌
%J 计算数学
%D 2009
%I 
%X We study fundamentals and techniques of automatic differentiation by discussing the way for calculating different kinds of first-and second-order derivatives.First we present the first-and second-order differentiation models in a simple way,then discuss the costs in terms of operations count and memory for calculating different derivatives with different differentiation models,finally discuss some typical algorithms in solving the nonlinear problems via automatic differentiation with respect to the computat...
%K automatic differentiation
%K derivative
%K nonlinear problem solving
%K forward accumulation
%K backward accumulation<br>自动微分
%K 导数
%K 非线性问题求解
%K 正向积分
%K 反向积分
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=CC77F3CEF526D9CF0B3021650FB4E57E&aid=8AB74F156953A76B30EE477872FCC16E&yid=DE12191FBD62783C&vid=4AD960B5AD2D111A&iid=CA4FD0336C81A37A&sid=23CCDDCD68FFCC2F&eid=933658645952ED9F&journal_id=0254-7791&journal_name=计算数学&referenced_num=1&reference_num=34