论文信息 - Starting points for Newton's method under a center Lipschitz condition for the second derivative

Starting points for Newton's method under a center Lipschitz condition for the second derivative

Abstract We analyze the semilocal convergence of Newton’s method under a center Lipschitz condition for the second derivative of the operator involved different from that used by other authors until now. In particular, we propose to center the Lipschitz condition for the second derivative in a different point from that where Newton’s method starts. This allows us to obtain different starting points for Newton’s method and modify the domain of starting points.

Ángel Alberto Magreñán | Miguel Ángel Hernández | José Antonio Ezquerro

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