Secant-like methods for solving nonlinear integral equations of the Hammerstein type
Journal of Computational and Applied Mathematics - Proceedings of the 8th international congress on computational and applied mathematics
A class of quasi-Newton generalized Steffensen methods on Banach spaces
Journal of Computational and Applied Mathematics
On a higher order Secant method
Applied Mathematics and Computation
Geometric constructions of iterative functions to solve nonlinear equations
Journal of Computational and Applied Mathematics
Solving non-differentiable equations by a new one-point iterative method with memory
Journal of Complexity
Analysing the efficiency of some modifications of the secant method
Computers & Mathematics with Applications
Journal of Computational and Applied Mathematics
A family of Steffensen type methods with seventh-order convergence
Numerical Algorithms
On the local convergence of a family of two-step iterative methods for solving nonlinear equations
Journal of Computational and Applied Mathematics
| Hi-index | 7.29 |
The development of an inverse first-order divided difference operator for functions of several variables, as well as a direct computation of the local order of convergence of an iterative method is presented. A generalized algorithm of the secant method for solving a system of nonlinear equations is studied and the maximum computational efficiency is computed. Furthermore, a sequence that approximates the order of convergence is generated for the examples and it confirms in a numerical way that the order of the methods is well deduced.