Differentiation transforming system  

作　　者：Qiang Cheng Haibin Zhang Bin Wang Yonghua Zhao 

机构地区：[1]LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, PR China [2]LSEC, Institute of Computing Mathematics, Chinese Academy of Sciences, Beijing 100080, PR China [3]SC, Institute of Computer Network Information Center, Chinese Academy of Sciences, Beijing 100190, PR China [4]College of Applied Sciences, Beijing University of Technology, Beijing 100124, PR China

出　　处：《Progress in Natural Science:Materials International》2009年第3期397-406,共10页自然科学进展·国际材料（英文版）

基　　金：supported by the National Natural Science Foundation of China (Grant No. 60503031);the National Basic Research Program of China (2004CB418304)

摘　　要：The differentiation transforming (DFT) system is developed to produce the tangent linear codes, which is used to calculate the Jaco- bian- and the Hessian-vector products with no truncation errors. This paper first gives the introduction of the functionality and features of the DFT system, and then discusses several techniques for the implementation of automatic differentiation tools, including data depen- dence analysis, singular differentiation and code optimization. Finally, the codes generated with DFT used in several applications have been demonstrated.The differentiation transforming （DFT） system is developed to produce the tangent linear codes, which is used to calculate the Jaco- bian- and the Hessian-vector products with no truncation errors. This paper first gives the introduction of the functionality and features of the DFT system, and then discusses several techniques for the implementation of automatic differentiation tools, including data depen- dence analysis, singular differentiation and code optimization. Finally, the codes generated with DFT used in several applications have been demonstrated.

关 键 词：JACOBIAN HESSIAN Tangent linear model Automatic differentiation 

分 类 号：TP314[自动化与计算机技术—计算机软件与理论]