Lecture Notes in Numerical Analysis with Mathematica

Lecture Notes in Numerical Analysis with Mathematica

Indexed in: EBSCO.

“ Lecture Notes in Numerical Analysis with Mathematica” highlights most of the important algorithms and their solved examples by Mathematica. The contents of this book include chapters on ...
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Solving Nonlinear Equations by Iterative Methods

Pp. 199-229 (31)

Krystyna STYš and Tadeusz STYš

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.

Affiliation:

University of Warsaw, Poland.