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Nonstationary Iterated Tikhonov Regularization (1998)

Hanke, M. ; Groetsch, C. W.

Springer

Journal of optimization theory and applications 98 (1998), S. 37-53

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ISSN: 1573-2878

Keywords: Ill-posed problems ; Tikhonov regularization ; Lardy's method ; discrepancy principle

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: 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.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1023/A:1022680629327

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