In this paper we address the stable numerical solution of nonlinear ill-posed systems by a trust-region method. We show that an appropriate choice of the trust-region radius gives rise to a procedure that has the potential to approach a solution of the unperturbed system. This regularizing property is shown theoretically and validated numerically.
Dipartimento di Ingegneria Industriale, Università di Firenze, viale G.B. Morgagni 40, 50134 Firenze, Italia, 04/2015
View On an adaptive regularization for ill-posed nonlinear systems and its trust-region implementation