A class of trust-region methods for solving large scale bound-constrained nonlinear systems has been proposed in a recent paper by the authors. These methods combine a Newton-Krylov method with a subspace trust-region strategy and with a strategy for handling the bounds. In this paper, an algorithm from that class is described and its numerical performance is illustrated by numerical experiments. The results of a comparison with an efficient approach in literature are shown too.

A two-dimensional trust-region method for large scale bound-constrained nonlinear systems / S. Bellavia; M. Macconi; B. Morini. - STAMPA. - (2007), pp. 137-148. (Intervento presentato al convegno 8th SIMAI Conference) [10.1142/9789812709394_0013].

A two-dimensional trust-region method for large scale bound-constrained nonlinear systems

BELLAVIA, STEFANIA;MACCONI, MARIA;MORINI, BENEDETTA
2007

Abstract

A class of trust-region methods for solving large scale bound-constrained nonlinear systems has been proposed in a recent paper by the authors. These methods combine a Newton-Krylov method with a subspace trust-region strategy and with a strategy for handling the bounds. In this paper, an algorithm from that class is described and its numerical performance is illustrated by numerical experiments. The results of a comparison with an efficient approach in literature are shown too.
2007
APPLIED AND INDUSTRIAL MATHEMATICS IN ITALY II Book Series: Series on Advances in Mathematics for Applied Sciences
8th SIMAI Conference
S. Bellavia; M. Macconi; B. Morini
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/315092
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