Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6422938 | Journal of Computational and Applied Mathematics | 2014 | 12 Pages |
Abstract
A local convergence analysis for a generalized family of two step Secant-like methods with frozen operator for solving nonlinear equations is presented. Unifying earlier methods such as Secant's, Newton, Chebyshev-like, Steffensen and other new variants the family of iterative schemes is built up, where a profound and clear study of the computational efficiency is also carried out. Numerical examples and an application using multiple precision and a stopping criterion are implemented without using any known root. Finally, a study comparing the order, efficiency and elapsed time of the methods suggested supports the theoretical results claimed.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Miquel Grau-Sánchez, Miquel Noguera, José L. Diaz-Barrero,