Article ID Journal Published Year Pages File Type
1710359 Applied Mathematics Letters 2007 5 Pages PDF
Abstract

This note is a self-contained proof of an interesting property of the double-step Newton method, applied to the computation of the largest or smallest zero of a real polynomial with all real zeros. It deals with what occurs when the iterates overshoot the zero. Our proof technique seems more transparent than the one usually found in the literature, and may make future extensions of the theorem possible.

Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics
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