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Differentiation transforming system
Cheng, Qiang1,2,3; Zhang, Haibin4; Wang, Bin1; Zhao, Yonghua3
2009-03-10
发表期刊PROGRESS IN NATURAL SCIENCE
ISSN1002-0071
卷号19期号:3页码:397-406
摘要The differentiation transforming (DFT) system is developed to produce the tangent linear codes, which is used to calculate the Jacobian 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 dependence analysis, singular differentiation and code optimization. Finally, the codes generated with DFT used in several applications have been demonstrated. (C) 2008 National Natural Science Foundation of China and Chinese Academy of Sciences. Published by Elsevier Limited and Science in China Press. All rights reserved.
关键词Jacobian Hessian Tangent linear model Automatic differentiation
DOI10.1016/j.pnsc.2008.07.012
语种英语
资助项目National Natural Science Foundation of China[60503031] ; National Natural Science Foundation of China[2004CB418304]
WOS研究方向Materials Science ; Science & Technology - Other Topics
WOS类目Materials Science, Multidisciplinary ; Multidisciplinary Sciences
WOS记录号WOS:000263557200014
出版者ELSEVIER SCIENCE INC
引用统计
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/7867
专题中国科学院数学与系统科学研究院
通讯作者Cheng, Qiang
作者单位1.Chinese Acad Sci, LASG, Inst Atmospher Phys, Beijing 100029, Peoples R China
2.Chinese Acad Sci, LSEC, Inst Comp Math, Beijing 100080, Peoples R China
3.Chinese Acad Sci, SC, Inst Comp Network Informat Ctr, Beijing 100190, Peoples R China
4.Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China
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GB/T 7714
Cheng, Qiang,Zhang, Haibin,Wang, Bin,et al. Differentiation transforming system[J]. PROGRESS IN NATURAL SCIENCE,2009,19(3):397-406.
APA Cheng, Qiang,Zhang, Haibin,Wang, Bin,&Zhao, Yonghua.(2009).Differentiation transforming system.PROGRESS IN NATURAL SCIENCE,19(3),397-406.
MLA Cheng, Qiang,et al."Differentiation transforming system".PROGRESS IN NATURAL SCIENCE 19.3(2009):397-406.
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