On Convergence of the Additive Schwarz Preconditioned Inexact Newton Method
β Scribed by An, Heng-Bin
- Book ID
- 118190864
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 2005
- Tongue
- English
- Weight
- 218 KB
- Volume
- 43
- Category
- Article
- ISSN
- 0036-1429
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
In this study, we use inexact Newton methods to find solutions of nonlinear operator equations on Banach spaces with a convergence structure. Our technique involves the introduction of a generalized norm as an operator from a linear space into a partially ordered Banach space. In this way the metric
We provide two types of semilocal convergence theorems for approximating a solution of an equation in a Banach space setting using an inexact Newton method [I.K. Argyros, Relation between forcing sequences and inexact Newton iterates in Banach spaces, Computing 63 (2) (1999) 134-144; I.K. Argyros, A
A local convergence analysis of inexact Newton-type methods using a new type of residual control was recently presented by C. Li and W. Shen. Here, we introduce the center-HΓΆlder condition on the operator involved, and use it in combination with the HΓΆlder condition to provide a new local convergenc