Automatic Differentiation Through the Use of Hyper-Dual Numbers for Second Derivatives-Reference-Cited by-同舟云学术

Automatic Differentiation Through the Use of Hyper-Dual Numbers for Second Derivatives

Published:2012 Issue: Volume: Page:163-173
ISSN:1439-7358
Container-title:Lecture Notes in Computational Science and Engineering
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Author:

Fike Jeffrey A.,Alonso Juan J.

Publisher

Springer Berlin Heidelberg

Link

http://link.springer.com/content/pdf/10.1007/978-3-642-30023-3_15

Reference20 articles.

1. http://www.autodiff.org

2. Bartholomew-Biggs, M.C.: Using forward accumulation for automatic differentiation of implicitly-defined functions. Computational Optimization and Applications 9, 65–84 (1998)

3. Clifford, W.K.: Preliminary Sketch of Biquaternions. Proc. London Math. Soc. s1-4(1), 381–395 (1871). DOI 10.1112/plms/s1-4.1.381. URL http://plms.oxfordjournals.org/cgi/reprint/s1-4/1/381.pdf

4. Deakin, M.A.B.: Functions of a dual or duo variable. Mathematics Magazine 39(4), 215–219 (1966). URL http://www.jstor.org/stable/2688085

5. Eastham, M.S.P.: 2968. on the definition of dual numbers. The Mathematical Gazette 45(353), 232–233 (1961). URL http://www.jstor.org/stable/3612794

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