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

Ioannis K. Argyros | Zendy; Santhosh George | Zendy

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

Author(s) -

Ioannis K. Argyros,

Santhosh George

Publication year - 2018

Publication title -

journal of mathematical sciences and modelling

Language(s) - English

Resource type - Journals

ISSN - 2636-8692

DOI - 10.33187/jmsm.432191

Subject(s) - convergence (economics) , gauss , local convergence , mathematics , newton's method , class (philosophy) , mathematical optimization , computer science , iterative method , nonlinear system , physics , artificial intelligence , economics , economic growth , quantum mechanics

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.

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