Extended Semilocal Convergence for the Newton- Kurchatov Method
نویسندگان
چکیده
منابع مشابه
On Semilocal Convergence of Inexact Newton
Inexact Newton methods are constructed by combining Newton’s method with another iterative method that is used to solve the Newton equations inexactly. In this paper, we establish two semilocal convergence theorems for the inexact Newton methods. When these two theorems are specified to Newton’s method, we obtain a different Newton-Kantorovich theorem about Newton’s method. When the iterative m...
متن کاملOn Semilocal Convergence of Inexact Newton Methods
Inexact Newton methods are constructed by combining Newton’s method with another iterative method that is used to solve the Newton equations inexactly. In this paper, we establish two semilocal convergence theorems for the inexact Newton methods. When these two theorems are specified to Newton’s method, we obtain a different Newton-Kantorovich theorem about Newton’s method. When the iterative m...
متن کاملOn Extended Convergence Domains for the Newton-kantorovich Method
We present results on extended convergence domains and their applications for the Newton-Kantorovich method (NKM), using the same information as in previous papers. Numerical examples are provided to emphasize that our results can be applied to solve nonlinear equations using (NKM), in contrast with earlier results which are not applicable in these cases. MSC 2010. 65J15, 65G99, 47H99, 49M15.
متن کاملA semilocal convergence analysis for directional Newton methods
A semilocal convergence analysis for directional Newton methods in n-variables is provided in this study. Using weaker hypotheses than in the elegant related work by Y. Levin and A. Ben-Israel and introducing the center-Lipschitz condition we provide under the same computational cost as in Levin and Ben-Israel a semilocal convergence analysis with the following advantages: weaker convergence co...
متن کاملSemilocal and global convergence of the Newton-HSS method for systems of nonlinear equations
Newton-HSS methods, that are variants of inexact Newton methods different from Newton-Krylov methods, have been shown to be competitive methods for solving large sparse systems of nonlinear equations with positive definite Jacobian matrices [Bai and Guo, 2010]. In that paper, only local convergence was proved. In this paper, we prove a Kantorovich-type semilocal convergence. Then we introduce N...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Matematychni Studii
سال: 2020
ISSN: 2411-0620,1027-4634
DOI: 10.30970/ms.53.1.85-91