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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