2005College MathematiesRequires access

Variants of Newton’s Iteration Method with Third-Order Convergence

Rong Zhang

Open publisher page 4 citations

Abstract

Two variants of Newton’s iteration method are given. It is shown that the orders of convergence of the new methods are three, and the computed results support this point.

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What this paper is about

Two variants of Newton’s iteration method are given. It is shown that the orders of convergence of the new methods are three, and the computed results support this point.

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OpenAlex reports 4 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

Two variants of Newton’s iteration method are given. It is shown that the orders of convergence of the new methods are three, and the computed results support this point.

Key concepts: Newton's method, Convergence (economics), Mathematics, Order (exchange), Applied mathematics, Mathematical optimization, Nonlinear system, Physics

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