Solving Nonlinear Equations by Iterative Methods
Pp. 199-229 (31)
Krystyna STYš and Tadeusz STYš
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
Fix point iterations, Newton's method, Secant
method, Bisection method.
University of Warsaw, Poland.