Journal of Inverse and Ill-posed Problems
Editor-in-Chief: Kabanikhin, Sergey I.
IMPACT FACTOR 2017: 0.941
5-year IMPACT FACTOR: 0.953
CiteScore 2017: 0.91
SCImago Journal Rank (SJR) 2017: 0.461
Source Normalized Impact per Paper (SNIP) 2017: 1.022
Mathematical Citation Quotient (MCQ) 2017: 0.49
The paper is devoted to the analysis of linear ill-posed operator equations Ax = y with an injective, compact linear forward operator A : X → Y mapping between Hilbert spaces X, Y. We are going to combine the ideas of [S. I. Kabanikhin, Convergence rate estimation of gradients methods via conditional stability of inverse and ill-posed problems. J. Inv. Ill-Posed Problems 13 (2005), 259–264.] and [S. I. Kabanikhin, Conditional stability stopping rule for gradient methods applied to inverse and ill-posed problems. J. Inv. Ill-Posed Problems 14 (2006), 805–812.] concerning the conditional stability on some subset M ⊂ X and the ideas of [B. Hofmann and P. Mathé, Analysis of profile functions for general linear regularization methods. SIAM J. Numer. Anal. 45 (2007), 1122–1141.] concerning profile functions in order to find convergence rates for general linear regularization methods. Moreover, an extension to Lavrentiev regularization is given.
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