Abstract and Applied Analysis
Volume 6 (2001), Issue 6, Pages 339-355
doi:10.1155/S1085337501000653
Arcangeli's type discrepancy principles for a class of regularization methods using a modified projection scheme
Department of Mathematics, Indian Institute of Technology Madras, Chennai 600 036, India
Received 22 June 2001
Copyright © 2001 M. T. Nair and M. P. Rajan. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
Solodkĭ (1998) applied the modified projection scheme of
Pereverzev (1995) for obtaining error estimates for a class of
regularization methods for solving ill-posed operator equations.
But, no a posteriori procedure for choosing the regularization
parameter is discussed. In this paper, we consider Arcangeli's
type discrepancy principles for such a general class of
regularization methods with modified projection scheme.