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arXiv · 1206.4103

Convergence of the Gauss-Newton method for a special class of systems of equations under a majorant condition

Max L. N. Gonçalves·Paulo R. Oliveira
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Abstract

In this paper, we study the Gauss-Newton method for a special class of systems of nonlinear equation. Under the hypothesis that the derivative of the function under consideration satisfies a majorant condition, semi-local convergence analysis is presented. In this analysis the conditions and proof of convergence are simplified by using a simple majorant condition to define regions where the Gauss-Newton sequence is "well behaved". Moreover, special cases of the general theory are presented as applications.

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Max L. N. Gonçalves, Paulo R. Oliveira. 2012-06-20. Convergence of the Gauss-Newton method for a special class of systems of equations under a majorant condition. https://arxiv.org/abs/1206.4103

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