Convergence of an inexact generalized Newton method with a scaled residual control |
| |
Authors: | Marek J. Śmietański |
| |
Affiliation: | Faculty of Mathematics and Computer Science, University of Lodz, PL 90-238 Lodz, Banacha 22, Poland |
| |
Abstract: | The inexact generalized Newton method is an iterative method for solving systems of nonsmooth equations. In this paper, the iterative process with a relative residual control is presented and the conditions for local convergence to a solution are provided. These results can be applied to solve Lipschitz continuous equations under some mild assumptions. Moreover, a globally convergent version of the algorithm with a damped approach based on the Armijo rule is considered. |
| |
Keywords: | |
本文献已被 ScienceDirect 等数据库收录! |
|