A GEOMETRY-BASED ITERATIVE ALGORITHM FOR FINDING THE APPROXIMATE SOLUTIONS OF SYSTEMS OF NONLINEAR EQUATIONS

This paper is devoted to a new iterative method for finding the approximate solutions of systems of nonlinear equations. Based on some geometric considerations, a root-finding algorithm applied to a single equation is developed and coupled with Jacobi and Gauss-Seidel procedures with the aim of solving nonlinear systems. The numerical predictive abilities of this iterative method are addressed and discussed on some examples.

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Posted September 12, 2019 07:52