2012•Unpublished venueRequires access
The convergence analysis for a deformed Newton method with three orders in Banach space
Rongfei Lin, Yueqing Zhao
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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.