Local convergence of Gauss-Newton method for overdetermined nonlinear systems of equations under a majorant condition

Details Local convergence of Gauss-Newton method for overdetermined nonlinear systems of equations under a majorant condition Local convergence of Gauss-Newton method for overdetermined nonlinear systems of equations under a majorant condition

2012-01-05

arxiv.org/abs/1201.1265v1

Mathematics

Optimization and Control

arXiv admin note: text overlap with arXiv:1002.4534 by other authors

Scientific paper

We provide a local convergence analysis of Gauss-Newton method for solving overdetermined nonlinear systems of equations under a majorant condition. Without convexity hypothesis on the derivative of the majorant function, we obtain that the method is well-defined and converges with superlinear rate. Moreover, we also obtain optimal convergence radius, the biggest range for uniqueness of the solution along with some other special cases.

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