- Journal of Mathematical Sciences and Modelling
- Vol: 1 Issue: 2
- Improved semi-local convergence of the Gauss-Newton method for systems of equations
Improved semi-local convergence of the Gauss-Newton method for systems of equations
Authors : Ioannis K Argyros, Santhosh George
Pages : 80-85
Doi:10.33187/jmsm.432191
View : 9 | Download : 4
Publication Date : 2018-09-30
Article Type : Research
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