Interval methods for root-finding of nonlinear equations of one variable

Interval analysis has proven successful for finding a root ξ of a nonlinear equation f(x)=0 in the interval [a,b]. The classical version of interval Newton´s method and more three new (supposed) interval methods has been tested on a series of examples. The Regula Falsi-Newton hybrid interval method and Halley´s (two versions) interval method are competitive when compared with the interval Newton´s method (used version). The numerical results empirically show that all methods give us verified computations (self-validating), ensuring that the exact value is certain to belong to the intervals computed.