An Uniparametric Secant–Type Method for Nonsmooth Generalized Equations
✍ Scribed by Saïd Hilout
- Publisher
- Springer
- Year
- 2008
- Tongue
- English
- Weight
- 171 KB
- Volume
- 12
- Category
- Article
- ISSN
- 1385-1292
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
In this paper, modifications of a generalized Newton method based on some rules of quadrature are studied. The methods considered are Newton-like iterative schemes for numerical solving systems of nonsmooth equations. Some mild conditions are given that ensure superlinear convergence to a solution.
We consider a one-parametric family of secant-type iterations for solving nonlinear equations in Banach spaces. We establish a semilocal convergence result for these iterations by means of a technique based on a new system of recurrence relations. This result is then applied to obtain existence and
## Communicated by E. Y. Rodin AImraet--A study of Rosenbrock-Wanner (ROW) methods showed that they are not AN-stable. A second-order improved ROW-method, which is AN-stable and with local error estimate is presented with some numerical results.