Publication: NEWTON: A general purpose program for solving nonlinear equations
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NEWTON: A general purpose program for solving nonlinear equations

- incollection -
 

Author(s)
Julia H. Gray , Louis B. Rall

Published in
Proc. 1967 Army Numerical Analysis Conference

Year
1967

Publisher
U.S. Army Research Office

Abstract
A program is described which uses Newton's method for solving a system of non-linear equations. The Jacobian is calculated using differentiation arithmetic. Automatic error analysis is provided by using differentiation arithmetic to calculate the Hessian.

BibTeX
@INCOLLECTION{
         Gray1967NAg,
       AUTHOR = "Julia H. Gray and Louis B. Rall",
       TITLE = "{NEWTON}: {A} general purpose program for solving nonlinear equations",
       BOOKTITLE = "Proc. 1967 Army Numerical Analysis Conference",
       PUBLISHER = "U.S. Army Research Office",
       ADDRESS = "Research Triangle Park, N.C.",
       YEAR = "1967",
       PAGES = "11--59",
       REFERRED = "[Rall1996AIt].",
       COMMENT = "Also MRC Technical Summary Report No. 790, Mathematics Research Center, University
         of Madison-Wisconsin.",
       KEYWORDS = "point algorithm; computer program; non-linear equations; differentiation
         arithmetic.",
       ABSTRACT = "A program is described which uses Newton's method for solving a system of
         non-linear equations. The Jacobian is calculated using differentiation arithmetic. Automatic error
         analysis is provided by using differentiation arithmetic to calculate the Hessian."
}


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