Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4628840 | Applied Mathematics and Computation | 2013 | 7 Pages |
Abstract
We propose a new two-step relaxed Newton-type method for the approximation of nonlinear equations in Banach spaces. The method is free of any bilinear operator. Moreover, in each iteration, we only approximate an associated linear system. We analyze its semilocal convergence under ω-conditioned divided differences. Finally, we include several practical advantages of the method.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
S. Amat, Á.A. Magreñán, N. Romero,