Practical problems arising for finding roots of nonlinear equations
Consider the numerical solutions of a nonlinear equation \(f(x)=0\). We apply Newton's and Newton's-like methods to solve the equation. First, we discuss the attainable correct digits for the approximated root. Second, we give a practical termination criterion and the method to estimate the accuracy of the obtained root. Some numerical examples are presented.
scientific article; zbMATH DE number 4005462
scientific article