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arxiv: 1710.07200 · v1 · pith:3OBUISFJnew · submitted 2017-10-12 · 🧮 math.FA · math.CA

Newton-Kantorovich-Vietoris method

classification 🧮 math.FA math.CA
keywords methodgeneralbanachclassicalcombineconditionsconsiderconvergence
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In this short work we consider nonlinear equation in Banach space $x = A(x)$. We combine classical Newton method with Vietoris method to propose new more general method. Under rather general conditions about the noise we investigate local convergence of the method.

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