2009•Journal of Anyang Institute of TechnologyRequires access

Discretization of Newton Method for Nonlinear Equations in Two Unknowns and its Transformation to Fixed-point Iteration Form

Xuejun Guo

Abstract

In this paper,Newton method for nonlinear equations in two unknowns is extended to a new improved method that has geometrical basis-discrete Newton method.Newton iteration method for nonlinear equations in two unknowns has also been expressed as a basic iteration form with simplified ideological structure and convenient form which is called fixed-point iteration.

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Key concepts: Newton's method, Fixed-point iteration, Discretization, Mathematics, Nonlinear system, Iterative method, Newton's method in optimization, Transformation (genetics)