DocumentCode
2338495
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
fYear
2012
fDate
3-5 June 2012
Firstpage
664
Lastpage
667
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Robotics and Applications (ISRA), 2012 IEEE Symposium on
Conference_Location
Kuala Lumpur
Print_ISBN
978-1-4673-2205-8
Type
conf
DOI
10.1109/ISRA.2012.6219277
Filename
6219277
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