Title :
The convergence analysis for a deformed Newton method with three orders in Banach space
Author :
Lin, Rongfei ; Zhao, Yueqing
Author_Institution :
Dept. of Math., Taizhou Univ., Linhai, China
Abstract :
We establish the Newton-Kantorovich convergence theorem for a deformed Newton methods in Banach space by using three orders majorizing function, which is used to solve the nonlinear operator equation. We also present the error estimate. Finally, some examples are provided to show the application of our theorem.
Keywords :
Banach spaces; Newton method; convergence of numerical methods; nonlinear equations; Banach space; Newton-Kantorovich convergence theorem; convergence analysis; deformed Newton method; error estimation; nonlinear operator equation; three orders majorizing function; Acceleration; Chebyshev approximation; Convergence; Equations; Newton method; Robots; Banach space; Deformed Newton method; Newton-Kantorovich theorem; Nonlinear operator equation;
Conference_Titel :
Robotics and Applications (ISRA), 2012 IEEE Symposium on
Conference_Location :
Kuala Lumpur
Print_ISBN :
978-1-4673-2205-8
DOI :
10.1109/ISRA.2012.6219277
