Optimal order yielding discrepancy principle for simplified regularization in Hilbert scales: finite-dimensional realizations

Simplified regularization using finite-dimensional approximations in the setting of Hilbert scales has been considered for obtaining stable approximate solutions to ill-posed operator equations. The derived error estimates using an a priori and a posteriori choice of parameters in relation to the no...

Full description

Bibliographic Details
Main Authors: Santhosh George, M. Thamban Nair
Format: Article
Language:English
Published: Hindawi Limited 2004-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171204306095