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Convergence behaviour of inexact Newton methods |
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| Authors: | Benedetta Morini |
| Institution: | Dipartimento di Energetica ``Sergio Stecco', via C. Lombroso 6/17, 50134 Firenze, Italia |
| Abstract: | In this paper we investigate local convergence properties of inexact Newton and Newton-like methods for systems of nonlinear equations. Processes with modified relative residual control are considered, and new sufficient conditions for linear convergence in an arbitrary vector norm are provided. For a special case the results are affine invariant. |
| Keywords: | Systems of nonlinear equations inexact methods affine invariant conditions |
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