Convergence of Chebyshev type regularization method under Morozov discrepancy principle. (December 2017)

• Record Type: Journal Article
• Authors: Wang, Jun-Gang; Li, Yan; Ran, Yu-Hong
• Is Part Of: Applied mathematics letters. Volume 74(2017:Dec.)
• Page Start: 174
• Page End: 180
• Publication Date: 2017-12
• Subjects: Inverse problem -- Chebyshev type filter -- Morozov discrepancy principle -- Ill-posedness -- Saturation; Applied mathematics -- Periodicals; 519.05
• DOI: 10.1016/j.aml.2017.06.004
• Languages: English
• ISSNs: 0893-9659

Abstract

Abstract: In this paper we investigate the convergence of Chebyshev type regularization strategy combined with the Morozov discrepancy principle, which is an a posteriori parameter choice rule and independent of the a priori information of exact solution. Compared with the standard Tikhonov regularization method, the Chebyshev type regularization method has no saturation restriction so that its convergence order holds for any υ ≥ 1 2, where p = 2 υ + 1 2 υ in the H o ̈ l d e r type estimate.