Document Type

Article

Publication Date

1995

Abstract

This expository paper traces the development of the Newton-Raphson method for solving nonlinear algebraic equations through the extant notes, letters, and publications of Isaac Newton, Joseph Raphson, and Thomas Simpson. It is shown how Newton's formulation differed from the iterative process of Raphson, and that Simpson was the first to give a general formulation, in terms of fluxional calculus, applicable to nonpolynomial equations. Simpson's extension of the method to systems of equations is exhibited.

Publication Title

SIAM Review

Volume

37

Issue

4

First Page

531

Last Page

551

Required Publisher's Statement

Copyright 1995 Society for Industrial and Applied Mathematics

Courtesy of JSTOR

Stable URL: http://www.jstor.org/stable/2132904

Included in

Mathematics Commons

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