Mathematics – Optimization and Control
Scientific paper
2011-03-02
Mathematics
Optimization and Control
Scientific paper
An extension of the Gauss-Newton algorithm is proposed to find local minimizers of penalized nonlinear least squares problems, under generalized Lipschitz assumptions. Convergence results of local type are obtained, as well as an estimate of the radius of the convergence ball. Some applications for solving constrained nonlinear equations are discussed and the numerical performance of the method is assessed on some significant test problems.
Salzo Saverio
Villa Silvia
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