| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4632881 | Applied Mathematics and Computation | 2009 | 8 Pages |
Abstract
In this work we present a family of predictor-corrector methods free from second derivative for solving nonlinear systems. We prove that the methods of this family are of third order convergence. We also perform numerical tests that allow us to compare these methods with Newton's method. In addition, the numerical examples improve theoretical results, showing super cubic convergence for some methods of this family.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
José L. Hueso, Eulalia MartÃnez, Juan R. Torregrosa,