DocumentCode
1619461
Title
The Newton-Kantorovich Convergence Theoremf or a Deformed Newton Method
Author
Lin, Rongfei ; Zhao, Yueqing
Author_Institution
Dept. of Math., Taizhou Univ., Linhai, China
fYear
2012
Firstpage
1843
Lastpage
1845
Abstract
In this study, we establish the Newton-Kantorovich convergence theorem with three orders for a deformed Newton methods in Banach space by using two orders majorizing function, which is used to solve the nonlinear operator equation. We also present the error estimate. Finally, the examples are provided to show the application of our theorem.
Keywords
Banach spaces; Newton method; estimation theory; Banach space; Newton-Kantorovich convergence theorem; deformed Newton method; error estimation; nonlinear operator equation; Aerospace electronics; Convergence; Educational institutions; Equations; Industrial control; Newton method; Banach space; Deformed Newton method; Newton-Kantorovich theorem; Nonlinear operator equation;
fLanguage
English
Publisher
ieee
Conference_Titel
Industrial Control and Electronics Engineering (ICICEE), 2012 International Conference on
Conference_Location
Xi´an
Print_ISBN
978-1-4673-1450-3
Type
conf
DOI
10.1109/ICICEE.2012.488
Filename
6322778
Link To Document