Rate of Convergence of Tikhonov Method of Regularization for Constrained Linear Equations with Operators Having Closed Ranges. (10th November 2013)

• Record Type: Journal Article
• Authors: Jaćimović, Milojica; Krnić, Izedin; Obradović, Oleg
• Other Names: La Torre Davide Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2013(2013)
• Publication Date: 2013-11-10
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2013/506368
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : We derive the estimates of the rate of convergence of the Tikhonov method of regularization for a constrained operator linear equation. In case that the range of the corresponding operator is closed, the estimate is of the same order as the estimates for a linear equation without constraints.