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Historical Development of the Newton-Raphson Method
SIAM Review
  • Tjalling J. Ypma, Western Washington University
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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.
Citation Information
Tjalling J. Ypma. "Historical Development of the Newton-Raphson Method" SIAM Review Vol. 37 Iss. 4 (1995) p. 531 - 551
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