Publication: A Finite Algorithm for the Exact Evaluation of Higher-Order Partial Derivatives of Functions of Many Variables
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A Finite Algorithm for the Exact Evaluation of Higher-Order Partial Derivatives of Functions of Many Variables

- Article in a journal -
 

Author(s)
Robert Kalaba , Leigh Tesfatsion , J. L. Wang

Published in
J. Mathematical Analysis and Applications

Year
1983

Abstract
An algorithm is presented which is a systematic extension of the algorithm presented in [Wengert1964Asa]. This allows the calculation of arbitrarily high orders of partial derivatives of functions of many variables. The method does not take advantage of sparsity in any way, but the authors mention that it might be possible to do so.

BibTeX
@ARTICLE{
         Kalaba1983AFA,
       AUTHOR = "Kalaba, Robert and Tesfatsion, Leigh and Wang, J. L.",
       TITLE = "A Finite Algorithm for the Exact Evaluation of Higher-Order Partial Derivatives of
         Functions of Many Variables",
       JOURNAL = "J. Mathematical Analysis and Applications",
       VOLUME = "92",
       YEAR = "1983",
       PAGES = "552--563",
       REFERRED = "[Michelotti1991MAC]; [Tesfatsion1991AEo]; [Wexler1987Aeo].",
       KEYWORDS = "point algorithm; differentiation arithmetic.",
       ABSTRACT = "An algorithm is presented which is a systematic extension of the algorithm
         presented in [Wengert1964Asa]. This allows the calculation of arbitrarily high orders of partial
         derivatives of functions of many variables. The method does not take advantage of sparsity in any
         way, but the authors mention that it might be possible to do so."
}


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