Local convergence analysis of inexact Gauss-Newton like methods under majorant condition

O. P. Ferreira; M. L. N. Goncalves; P. R. Oliveira

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arXiv · 1008.1916

Local convergence analysis of inexact Gauss-Newton like methods under majorant condition

O. P. Ferreira·M. L. N. Goncalves·P. R. Oliveira

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Abstract

In this paper, we present a local convergence analysis of inexact Gauss-Newton like methods for solving nonlinear least squares problems. Under the hypothesis that the derivative of the function associated with the least square problem satisfies a majorant condition, we obtain that the method is well-defined and converges. Our analysis provides a clear relationship between the majorant function and the function associated with the least square problem. It also allows us to obtain an estimate of convergence ball for inexact Gauss-Newton like methods and some important, special cases.

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BibTeX RIS

O. P. Ferreira, M. L. N. Goncalves, P. R. Oliveira. 2010-08-11. Local convergence analysis of inexact Gauss-Newton like methods under majorant condition. https://arxiv.org/abs/1008.1916

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