2007•Journal of Shandong UniversityRequires access

An improvement on the 2-order-derivative-free iterative method of Newton

Xindong Zhang

Abstract

Based on the iterative method of Newton and the asymptotic point in the theorem of the mean,an improvement on the iterative method of Newton is given.The new iterative method has at least a 3-order convergence rate and without calculating 2-order derivatives.The numerical experience is given,which shows the effectiveness of this method.

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Available abstract

Key concepts: Newton's method in optimization, Newton's method, Iterative method, Local convergence, Applied mathematics, Steffensen's method, Mathematics, Rate of convergence