A Class of Steffensen-Type Iterative Methods for Nonlinear Systems

الملخص EN

A class of iterative methods without restriction on the computation of Fréchet derivatives including multisteps for solving systems of nonlinear equations is presented.

By considering a frozen Jacobian, we provide a class of m-step methods with order of convergence m+1.

A new method named as Steffensen-Schulz scheme is also contributed.

Numerical tests and comparisons with the existing methods are included.