Publication: Series reversion as the reversed chain rule
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Series reversion as the reversed chain rule

- Article in a journal -
 

Author(s)
Charles L. Lawson

Published in
ACM SIGNUM Newsletter

Year
1988

Abstract
Lawson gives Fortran subroutines for differentiation arithmetic. A subroutine SWPRO for products corresponds to Chang's ATS [Chang74a]. The chain rule is implemented by repeated calls to SWPRO. Series reversion for implicit functions is implemented by reversing the chain rule. An application is given to Keppler's equation, M - E + e sin (E) = 0.

BibTeX
@ARTICLE{
         Lawson1988Sra,
       AUTHOR = "Lawson, Charles L.",
       TITLE = "Series reversion as the reversed chain rule",
       JOURNAL = "ACM SIGNUM Newsletter",
       VOLUME = "23",
       NUMBER = "1",
       MONTH = "January",
       YEAR = " 1988",
       PAGES = "7--9",
       REFERRED = "[Lawson1991ADo].",
       KEYWORDS = "differentiation arithmetic; implicit functions.",
       ABSTRACT = "Lawson gives Fortran subroutines for differentiation arithmetic. A subroutine SWPRO
         for products corresponds to Chang's ATS [Chang74a]. The chain rule is implemented by repeated
         calls to SWPRO. Series reversion for implicit functions is implemented by reversing the chain rule.
         An application is given to Keppler's equation, $M - E + e \sin (E) = 0$."
}


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