论文信息 - A local convergence theorem for the super-halley method in a Banach space

A local convergence theorem for the super-halley method in a Banach space

Abstract A local convergence theorem for the super-Halley method is presented here to solve nonlinear equations in Banach space. The method is of order four for quadratic equations. Most authors (including the famous conjecture by Traub for functions of one variable) have shown that this method is of order three only. Some applications are also provided, where our results apply, but previous related results do not.

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