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.
Convergence behaviour of Inexact Newton Methods / B. MORINI. - In: MATHEMATICS OF COMPUTATION. - ISSN 0025-5718. - STAMPA. - 68:(1999), pp. 1605-1613. [10.1090/S0025-5718-99-01135-7]
Convergence behaviour of Inexact Newton Methods
MORINI, BENEDETTA
1999
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.
File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in FLORE sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
