A Globally Convergent Interval Newton’s Method for Computing and Bounding Real Roots of a Function with One Variable

It is known that Newton's method is locally convergent, involves errors in numerical computations, and requires an initial guess point for calculating. This initial guess point should be closed enough to the root or zeros otherwise this method fails to converge to the desired root. The method of interval mathematics should overcome these issues and be used to make Newton's method as globally convergent. This paper shows how to use interval...