Newtons Method Objectives: In this tutorial, we examine Newtons Method and see the geometry underlying the derivation of the algorithm. We also look at a few examples that illustrate the method. After working through these materials, the student should be able to understand graphically the derivation of Newtons Method, to apply Newtons Method to find the roots of a function. Modules: Algorithm. Let f be a differentiable function. Choose a point x1 near a root of f. Define recursively If the point x1 is chosen sufficiently close to the root then the xns are successively better approximations of the root. Discussion [Using Flash] Example: f(x) = xn - a Discussion Drill problems on using Newtons Method.
Posted on: Mon, 29 Dec 2014 03:07:02 +0000
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