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Differentiation transforming system |
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| Authors: | Qiang Cheng Haibin Zhang Bin Wang Yonghua Zhao |
| Institution: | 1. LASG,Institute of Atmospheric Physics,Chinese Academy of Sciences,Beijing,100029,PR China;LSEC,Institute of Computing Mathematics,Chinese Academy of Sciences,Beijing,100080,PR China 2. College of Applied Sciences,Beijing University of Technology,Beijing,100124,PR China 3. LASG,Institute of Atmospheric Physics,Chinese Academy of Sciences,Beijing 100029,PR China 4. SC,Institute of Computer Network Information Center,Chinese Academy of Sciences,Beijing,100190,PR China |
| Abstract: | 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. |
| Keywords: | Jacobian Hessian Tangent linear model Automatic differentiation |
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