Title :
New Third-Order Method for Solving Nonlinear Equations with Lower Iteration Number
Author :
Poenaru, Radu Constantin ; Constantinescu, Radu ; Popescu, George Pantelimon
Author_Institution :
Comput. Sci. & Eng. Dept., Univ. ”Politeh.” of Bucharest, Bucharest, Romania
Abstract :
In this paper we propose a new third-order method for solving nonlinear equations. Considering a fix length of the floating point arithmetic with multi-precision, we have compared this iterative method with other methods and we have obtained similar and even better results regarding the number of iterations and the total number of function evaluations (TNFE), but only with the evaluation of the first derivative.
Keywords :
floating point arithmetic; function evaluation; iterative methods; nonlinear equations; TNFE; first derivative evaluation; floating point arithmetic; iteration number; nonlinear equations; third-order method; total number of function evaluations; Computer science; Computers; Convergence; Iterative methods; Newton method; Nonlinear equations;
Conference_Titel :
Control Systems and Computer Science (CSCS), 2015 20th International Conference on
Conference_Location :
Bucharest
Print_ISBN :
978-1-4799-1779-2
DOI :
10.1109/CSCS.2015.99
