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Pré-Publication, Document De Travail Année : 2014

On the Convergence Analysis of a Two-Step Modification of the Gauss-Newton Method

Résumé

We investigate the convergence of a two-step modification of the Gauss-Newton method applying the generalized Lipschitz condition for the first and second order derivatives. The convergence order as well as the convergence radius of the method are studied and the uniqueness ball of solution of the nonlinear least squares problem is examined. Finally, we carry out numerical experiments on a set of well-known test problems.
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Dates et versions

hal-00960300 , version 1 (17-03-2014)
hal-00960300 , version 2 (30-05-2014)

Identifiants

  • HAL Id : hal-00960300 , version 1

Citer

Roman Iakymchuk, Stepan Shakhno. On the Convergence Analysis of a Two-Step Modification of the Gauss-Newton Method. 2014. ⟨hal-00960300v1⟩
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