In this paper, an iterative method is presented for the computation of regularized solutions of discrete ill-posed problems. In the proposed method, the regularization problem is formulated as an equality constrained minimization problem and an iterative Lagrange method is used for its solution. The Lagrange iteration is terminated according to the discrepancy principle. The relationship between the proposed approach and classical Tikhonov regularization is discussed. Results of numerical experiments are presented to illustrate the effectiveness and usefulness of the proposed method.
G. Landi, E. Loli Piccolomini (2010). An iterative Lagrange method for the regularization of discrete ill-posed inverse problems. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 60, 1723-1738 [10.1016/j.camwa.2010.07.003].
An iterative Lagrange method for the regularization of discrete ill-posed inverse problems
LANDI, GERMANA;LOLI PICCOLOMINI, ELENA
2010
Abstract
In this paper, an iterative method is presented for the computation of regularized solutions of discrete ill-posed problems. In the proposed method, the regularization problem is formulated as an equality constrained minimization problem and an iterative Lagrange method is used for its solution. The Lagrange iteration is terminated according to the discrepancy principle. The relationship between the proposed approach and classical Tikhonov regularization is discussed. Results of numerical experiments are presented to illustrate the effectiveness and usefulness of the proposed method.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
