Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4627014 | Applied Mathematics and Computation | 2015 | 8 Pages |
Abstract
A new predictor-corrector iterative procedure, that combines Newton's method as predictor scheme and a fifth-order iterative method as a corrector, is designed for solving nonlinear equations in Banach spaces. We analyze the local order of convergence and the regions of accessibility of the new method comparing it with Newton's method, both theoretical and numerically.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
A. Cordero, J.A. Ezquerro, M.A. Hernández-Verón, J.R. Torregrosa,