A class of Steffensen-type iterative methods for nonlinear systems (Q2336653)

Summary: 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.