Extended And Unified Local Convergence For Newton-Kantorovich Method Under w− Conditions With Applications

نویسنده

  • IOANNIS K. ARGYROS
چکیده

The goal of this paper is to present a local convergence analysis of Newton’s method for approximating a locally unique solution of an equation in a Banach space setting. Using the gauge function theory and our new idea of restricted convergence regions we present an extended and unified convergence theory. Key–Words: Newton’s method, Banach space, semilocal convergence, gauge function, convergence region, Newton-Kantorovich theorem.

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تاریخ انتشار 2017