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Seminar information archive ～04/19｜Next seminar｜Future seminars 04/20～
2010/03/19
11:00-12:00 Room #366 (Graduate School of Math. Sci. Bldg.)
竹内 知哉 (North Carolina State University, USA)
A Regularization Parameter for Nonsmooth Tikhonov Regularization
竹内 知哉 (North Carolina State University, USA)
A Regularization Parameter for Nonsmooth Tikhonov Regularization
[ Abstract ]
We develop a novel criterion for choosing regularization parameters for nonsmooth Tikhonov functionals. The proposed criterion is solely based on the value function, and thus applicable to a broad range of functionals. It is analytically compared with the local minimum criterion, and a posteriori error estimates are derived. An efficient numerical algorithm for computing the minimizer is developed, and its convergence properties are also studied. Numerical results for several common nonsmooth functionals are presented.
We develop a novel criterion for choosing regularization parameters for nonsmooth Tikhonov functionals. The proposed criterion is solely based on the value function, and thus applicable to a broad range of functionals. It is analytically compared with the local minimum criterion, and a posteriori error estimates are derived. An efficient numerical algorithm for computing the minimizer is developed, and its convergence properties are also studied. Numerical results for several common nonsmooth functionals are presented.
