On a Convex Acceleration of Newton's Method

نویسنده

  • F. A. Potra
چکیده

In this study, we use a convex acceleration of Newton's method (or super-Halley method) to approximate solutions of nonlinear equations. We provide sufficient convergence conditions for this method in three space settings: real line, complex plane, and Banach space. Several applications of our results are also provided.

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تاریخ انتشار 2002