EMIS ELibM Electronic Journals Publications de l'Institut Mathématique, Nouvelle Série
Vol. 97(111), pp. 89–102 (2015)

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ON THE CONVERGENCE OF ONE CLASS OF THE REGULARIZATION METHODS FOR ILL-POSED QUADRATIC MINIMIZATION PROBLEMS WITH CONSTRAINT

Milojica Jacimovic, Izedin Krnic, and Oleg Obradovic

Department of Mathematics, University of Montenegro, Podgorica, Montenegro

Abstract: We study a class of regularization methods for solving least-squares ill-posed problem with a convex constraint. Convergence and convergence rate results are proven for the problems which satisfy so called power source condition. All the results are obtained under the assumptions that, instead of exact initial data, only their approximations are known.

Keywords: quadratic programming; ill-posed problems; regularization

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Electronic fulltext finalized on: 16 Apr 2015. This page was last modified: 21 Apr 2015.

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