A class of discrepancy principles for the simplified regularization of ill-posed problems

dc.contributor.author	George, S.
dc.contributor.author	Nair, M.T.
dc.date.accessioned	2015-06-03T06:44:07Z
dc.date.available	2015-06-03T06:44:07Z
dc.date.issued	1994
dc.identifier.citation	Journal of the Australian Mathematical Society Series B-Applied Mathematics. 36; 1994; 242-248.	en_US
dc.identifier.uri	http://dx.doi.org/10.1017/S0334270000010389
dc.identifier.uri	http://irgu.unigoa.ac.in/drs/handle/unigoa/714
dc.description.abstract	A class of discrepancy principles for the choice of parameters for the simplified regularization of ill-posed problems is proposed. This procedure does not require knowledge of the unknown solution, and if the smoothness of the unknown solution is known then the convergence rate obtained is optimal. The results of this paper include the Arcangeli's method considered by Groetsch and Guacaneme (1987) for which the convergence rate was not known and also of a result of Guacaneme (1988) for which there is a gap in the proof.	en_US
dc.publisher	Cambridge University Press	en_US
dc.subject	Mathematics	en_US
dc.title	A class of discrepancy principles for the simplified regularization of ill-posed problems	en_US
dc.type	Journal article	en_US
dc.identifier.impf	y