Improved semi-local convergence of the Gauss-Newton method for systems of equations

Year 2018, Volume: 1 Issue: 2, 80 - 85, 30.09.2018

İoannis K Argyros Santhosh George

https://doi.org/10.33187/jmsm.432191

Abstract

Our new technique of restricted convergence domains is employed to provide a finer convergence analysis of the Gauss-Newton method in order to solve a certain class of systems of equations under a majorant condition. The advantages are obtained under the same computational cost as in earlier studies such as [5, 14]. Special cases and a numerical example are also given in this study.

Keywords

Gauss- Newton method, Newton's method, Semi-local convergence, Least squares problem

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