Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6422811 | Journal of Computational and Applied Mathematics | 2014 | 16 Pages |
Abstract
One of the most studied problems in numerical analysis is the approximation of nonlinear equations using iterative methods. In the past years, attention has been paid in studying Newton's method on manifolds. In this paper, we generalize this study by considering a general class of third-order iterative methods. A characterization of the convergence under Kantorovich type conditions and optimal error estimates is found.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
S. Amat, S. Busquier, R. Castro, S. Plaza,