Nonstationary Iterated Tikhonov Regularization

M. Hanke and C. W. Groetsch
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M. Hanke: Fachbereich Mathematik, Universität Kaiserslautern
C. W. Groetsch: University of Cincinnati

Journal of Optimization Theory and Applications, 1998, vol. 98, issue 1, No 3, 37-53

Abstract: Abstract A convergence rate is established for nonstationary iterated Tikhonov regularization, applied to ill-posed problems involving closed, densely defined linear operators, under general conditions on the iteration parameters. It is also shown that an order-optimal accuracy is attained when a certain a posteriori stopping rule is used to determine the iteration number.

Keywords: Ill-posed problems; Tikhonov regularization; Lardy's method; discrepancy principle (search for similar items in EconPapers)
Date: 1998
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Citations: View citations in EconPapers (4)

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DOI: 10.1023/A:1022680629327

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