Interval King method to compute enclosure solutions of nonlinear equations

In this paper, a different variant of the classic King method for computing the enclosure solutions of a given nonlinear equation is introduced. Our proposed approach is based on interval analysis which was first invented by R. Moore. Also, error analysis and convergence will be discussed. Moreover, the proposed interval method will be compared with the interval Newton and Ostrowski methods. Some implemented examples with INTLAB are also included to illustrate the validity and applicability of the scheme.