1. On a secant-like method for solving generalized equations
- Creator:
- Argyros, Ioannis K. and Hilout, Said
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- secant-like method, generalized equations, Aubin continuity, radius of convergence, and divided difference
- Language:
- English
- Description:
- In the paper by Hilout and Piétrus (2006) a semilocal convergence analysis was given for the secant-like method to solve generalized equations using Hölder-type conditions introduced by the first author (for nonlinear equations). Here, we show that this convergence analysis can be refined under weaker hypothesis, and less computational cost. Moreover finer error estimates on the distances involved and a larger radius of convergence are obtained.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public