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Convergence conditions on the first derivative of the operator

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Part of the book series: Frontiers in Mathematics ((FM))

Abstract

In this chapter, we study the semilocal convergence of Newton’s method under mild differentiability conditions on the operator F.

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Ezquerro Fernández, J.A., Hernández Verón, M.Á. (2017). Convergence conditions on the first derivative of the operator. In: Newton’s Method: an Updated Approach of Kantorovich’s Theory. Frontiers in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-55976-6_4

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