文摘
A local convergence analysis is presented for a fast two-step Newton-like method (TSNLM) for solving nonlinear equations in a Banach space setting. The TSNLM unifies earlier methods such as Newton¡¯s, Secant, Newton-like, Chebyshev-Secant, Chebyshev-Newton, Steffensen, Stirling¡¯s and other single or multistep methods. Numerical examples and a comparative study of these methods validating our theoretical results are also given in the concluding section of this paper.