Transcription of The Newton-Raphson Method
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The Newton-Raphson Method
The Newton-Raphson Method1 IntroductionThe Newton-Raphson Method , or newton Method , is a powerful techniquefor solving equations numerically. Like so much of the di erential calculus,it is based on the simple idea of linear approximation. The newton Method ,properly used, usually homes in on a root with devastating e essential part of these notes is Section , where the basic formulais derived, Section , where the procedure is interpreted geometrically,and|of course|Section 6, where the problems are. Peripheral but perhapsinteresting is Section 3, where the birth of the newton Method is Using Linear Approximations to Solve Equa-tionsLetf(x) be a well-behaved function, and letrbe a root of the equationf(x) = 0. We start with an , we produce animproved|we hope| , we produce a new , we produce a new estimatex3.
The Newton-Raphson Method 1 Introduction The Newton-Raphson method, or Newton Method, is a powerful technique for solving equations numerically. Like so much of the di erential calculus,
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