Lecture Notes in Numerical Analysis with Mathematica

Solving Nonlinear Equations by Iterative Methods

Author(s): Krystyna STYš and Tadeusz STYš

Pp: 199-229 (31)

Doi: 10.2174/9781608059423114010010

* (Excluding Mailing and Handling)

Abstract

In this chapter the equation F(x) = 0, a≤ x ≤ b, is solved by the Fix Point Iterations, Newton's Method, Secant Method and Bisection Method. The theorems on convergence and errors estimates of the methods have been stated and proved. Also, the rates of convergence of the iterative methods are determined . The methods are illustrated by a number of selected examples. The chapter ends with a set of questions.


Keywords: Fix point iterations, Newton's method, Secant method, Bisection method.

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