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math.NA2015
On a Moser-Steffensen type method for nonlinear systems of equations
S. Amat, M. Grau-Sanchez, M. A. Hernandez-Veron +1
This paper is devoted to the construction and analysis of a Moser-Steffensen iterative scheme. The method has quadratic convergence without evaluating any derivative nor inverse op…
math.NA2011
On the approximation of derivatives using divided difference operators preserving the local convergence order of iterative methods
Miquel Grau-Sánchez, Miquel Noguera, Sergio Amat
A development of an inverse first-order divided difference operator for functions of several variables is presented. Two generalized derivative-free algorithms builded up from Ostr…