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

M. T. Nair and M. P. Rajan

 Department of Mathematics, Indian Institute of Technology Madras, Chennai 600 036, India
Received 22 June 2001

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.