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
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;
Conference_Titel :
Industrial Control and Electronics Engineering (ICICEE), 2012 International Conference on
Conference_Location :
Xi´an
Print_ISBN :
978-1-4673-1450-3
DOI :
10.1109/ICICEE.2012.488
