In recent years, much attention has been given to develop several iterative methods for solving nonlinear equations. For instance, Two-point methods have been suggested by combining the well-known ...

In this paper, two new families of eighth-order iterative methods for solving nonlinear equations are presented. These methods are developed by combining a class of optimal two-point methods and a ...

The HPM has become a widely-used technique to solve a large variety of problems in different fields and many research papers have been published each year using this method as evidenced by a simple ...

Carpathian Journal of Mathematics, Vol. 31, No. 1 (2015), pp. 11-30 (20 pages) We use the method of recurrent functions to provide a new semilocal convergence analysis for secant-like methods in order ...

where x is a vector and F is a vector-valued, possibly nonlinear, function. In order to find x such that F goes to 0, an initial estimate x0 is chosen, and Newton's iterative method for converging to ...

Two teams found different ways for quantum computers to process nonlinear systems by first disguising them as linear ones.