Article ID Journal Published Year Pages File Type
4637111 Applied Mathematics and Computation 2006 10 Pages PDF
Abstract

Following the ideas of Frontini and Sormani, we present a modified Newton method in Banach space which is used to solve the nonlinear operator equation. We establish the Newton–Kantorovich convergence theorem for the modified Newton method with third-order convergence in Banach space by using majorizing function. We also get the error estimate. Finally, two examples are provided to show the application of our theorem.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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