Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4626879 | Applied Mathematics and Computation | 2015 | 12 Pages |
Abstract
In this work we introduce a new operator of divided differences that preserves the convergence order when it is used for approximating the Jacobian matrix in iterative method for solving nonlinear systems. We obtain derivative free iterative methods with lower computational cost than the corresponding ones with different operators of divided differences. We also study the global convergence of these methods by analyzing their dynamical behavior.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
José L. Hueso, Eulalia Martínez, Carles Teruel,