An iterative method for solving nonlinear equations

Authors:
Nenad Ujević
Affiliations:
Department of Mathematics, University of Split, Teslina 12/III, 21000 Split, Croatia
Venue:
Journal of Computational and Applied Mathematics
Year:
2007

Citing 3
Cited 2

Historical developments in convergence analysis for Newton's and Newton-like methods

Journal of Computational and Applied Mathematics - Special issue on numerical analysis 2000 Vol. IV: optimization and nonlinear equations
Solution of nonlinear equations by modified adomian decomposition method

Applied Mathematics and Computation
Geometric constructions of iterative functions to solve nonlinear equations

Journal of Computational and Applied Mathematics

Fourth-order two-step iterative methods for determining multiple zeros of non-linear equations

International Journal of Computer Mathematics
A new modified secant-like method for solving nonlinear equations

Computers & Mathematics with Applications

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Abstract

An iterative method for finding a solution of the equation f(x)=0 is presented. The method is based on some specially derived quadrature rules. It is shown that the method can give better results than the Newton method.