講演会

過去の記録 ~03/28次回の予定今後の予定 03/29~


2010年03月19日(金)

11:00-12:00   数理科学研究科棟(駒場) 366号室
竹内 知哉 氏 (North Carolina State University, USA)
A Regularization Parameter for Nonsmooth Tikhonov Regularization
[ 講演概要 ]
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.