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Convergence of Chebyshev type regularization method under Morozov discrepancy principle.
- Source :
-
Applied Mathematics Letters . Dec2017, Vol. 74, p174-180. 7p. - Publication Year :
- 2017
-
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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 08939659
- Volume :
- 74
- Database :
- Academic Search Index
- Journal :
- Applied Mathematics Letters
- Publication Type :
- Academic Journal
- Accession number :
- 124288813
- Full Text :
- https://doi.org/10.1016/j.aml.2017.06.004