The Jarratt method in Banach space setting
Journal of Computational and Applied Mathematics
Iterative solution of nonlinear equations in several variables
Iterative solution of nonlinear equations in several variables
Some variant of Newton's method with third-order convergence
Applied Mathematics and Computation
Geometric constructions of iterative functions to solve nonlinear equations
Journal of Computational and Applied Mathematics
Accelerated methods of order 2p for systems of nonlinear equations
Journal of Computational and Applied Mathematics
Particle swarm algorithm for solving systems of nonlinear equations
Computers & Mathematics with Applications
Imperialist competitive algorithm for solving systems of nonlinear equations
Computers & Mathematics with Applications
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We extend to n-dimensional case a known multi-point family of iterative methods for solving nonlinear equations. This family includes as particular cases some well known and also some new methods. The main advantage of these methods is they have order three or four and they do not require the evaluation of any second or higher order Frechet derivatives. A local convergence analysis and numerical examples are provided.