Nonstationary Iterated Tikhonov Regularization
نویسندگان
چکیده
منابع مشابه
Nonstationary Iterated Tikhonov Regularization
A convergence rate is established for nonstationary iterated Tik-honov regularization, applied to ill-posed problems involving closed, densely deened 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.
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Tikhonov regularization is one of the most popular approaches to solving linear discrete ill-posed problems. The choice of regularization matrix may significantly affect the quality of the computed solution. When the regularization matrix is the identity, iterated Tikhonov regularization can yield computed approximate solutions of higher quality than (standard) Tikhonov regularization. This pap...
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ژورنال
عنوان ژورنال: Journal of Optimization Theory and Applications
سال: 1998
ISSN: 0022-3239,1573-2878
DOI: 10.1023/a:1022680629327