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Starting points for Newton’s method under a center Lipschitz condition for the second derivative.
- Source :
-
Journal of Computational & Applied Mathematics . Mar2018, Vol. 330, p721-731. 11p. - Publication Year :
- 2018
-
Abstract
- We analyze the semilocal convergence of Newton’s method under a center Lipschitz condition for the second derivative of the operator involved different from that used by other authors until now. In particular, we propose to center the Lipschitz condition for the second derivative in a different point from that where Newton’s method starts. This allows us to obtain different starting points for Newton’s method and modify the domain of starting points. [ABSTRACT FROM AUTHOR]
- Subjects :
- *NEWTON-Raphson method
*INTEGRAL equations
*NONLINEAR operators
*CONVEX domains
Subjects
Details
- Language :
- English
- ISSN :
- 03770427
- Volume :
- 330
- Database :
- Academic Search Index
- Journal :
- Journal of Computational & Applied Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 125943972
- Full Text :
- https://doi.org/10.1016/j.cam.2016.12.013