Morozov's discrepancy principle for Tikhonov-type functionals with nonlinear operators
نویسندگان
چکیده
منابع مشابه
Morozov’s Discrepancy Principle for Tikhonov-type functionals with non-linear operators
In this paper we deal with Morozov’s discrepancy principle as an aposteriori parameter choice rule for Tikhonov regularization with general convex penalty terms Ψ for non-linear inverse problems. It is shown that a regularization parameter α fulfilling the discprepancy principle exists, whenever the operator F satisfies some basic conditions, and that for this parameter choice rule holds α→ 0, ...
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Many discrepancy principles are known for choosing the parameter in the regularized operator equation (T T + I)x = T y , ky ?y k , in order to approximate the minimal norm least-squares solution of the operator equation Tx = y. In this paper we consider a class of discrepancy principles for choosing the regularization parameter when T T and T y are approximated by A n and z n respectively with ...
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In this paper, we consider the finite-dimensional approximations of Tikhonov regularization for nonlinear ill-posed problems with approximately given right-hand sides. We propose an a posteriori parameter choice strategy, which is a modified form of Morozov’s discrepancy principle, to choose the regularization parameter. Under certain assumptions on the nonlinear operator, we obtain the converg...
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ژورنال
عنوان ژورنال: Inverse Problems
سال: 2009
ISSN: 0266-5611,1361-6420
DOI: 10.1088/0266-5611/26/2/025001