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

Authors : İoannis K ARGYROS, Santhosh GEORGE

Pages : 80-85

Doi:10.33187/jmsm.432191

View : 13 | Download : 12

Publication Date : 2018-09-30

Article Type : Research Paper

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