The theory of Kantorovich for Newton’s method: Conditions on the second derivative

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Abstract

We present, from the Kantorovich theory for Newton’s method, two variants of the classic Newton-Kantorovich study that allow guaranteeing the semilocal convergence of the method for solving more nonlinear equations.

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Ezquerro, J. A., & Hernández-Verón, M. A. (2016). The theory of Kantorovich for Newton’s method: Conditions on the second derivative. In SEMA SIMAI Springer Series (Vol. 10, pp. 113–145). Springer International Publishing. https://doi.org/10.1007/978-3-319-39228-8_6

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