Multi-Point Iterative Methods for Systems of Nonlinear Equations

A family of multi-point iterative methods for solving systems of nonlinear equations is described. Some classical methods are included in the mentioned family. Under certain conditions, convergence order is proved to be 2d + 1, where d is the order of the partial derivatives required to be zero in the solution. Moreover, different numerical tests confirm the theoretical results and allow us to compare these variants with Newton’s method.