Newton-Kantorovich and Smale Uniform Type Convergence Theorem for a Deformed Newton Method in Banach Spaces
Newton-Kantorovich and Smale uniform type of convergence theorem of a deformed Newton method having the third-order convergence is established in a Banach space for solving nonlinear equations. The error estimate is determined to demonstrate the efficiency of our approach. The obtained results are i...
Saved in:
| Main Authors: | Rongfei Lin, Yueqing Zhao, Zdeněk Šmarda, Yasir Khan, Qingbiao Wu |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/923898 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
-
Semilocal Convergence Theorem for the Inverse-Free Jarratt Method under New Hölder Conditions
by: Yueqing Zhao, et al.
Published: (2015-01-01) -
Newton-Kantorovich Method for Solving One of the Non-Linear Sturm-Liouville Problems
by: Hussien A. H. Abugirda, et al.
Published: (2023-10-01) -
A Unified Kantorovich-type Convergence Analysis of Newton-like Methods for Solving Generalized Equations under the Aubin Property
by: Samundra Regmi, et al.
Published: (2024-03-01) -
Extended semilocal convergence for the Newton- Kurchatov method
by: H.P. Yarmola, et al.
Published: (2020-03-01) -
On $p$-convexification of the Banach-Kantorovich lattice
by: Gavhar B. Zakirova
Published: (2024-12-01)