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過去の記録 ～04/22｜次回の予定｜今後の予定 04/23～
2009年10月30日(金)
15:00-16:00 数理科学研究科棟(駒場) 370号室
Shuai Lu 氏 (Johann Radon Institute)
Regularized total least squares: computational aspects and error bounds
Shuai Lu 氏 (Johann Radon Institute)
Regularized total least squares: computational aspects and error bounds
[ 講演概要 ]
For solving linear ill-posed problems, regularization methods are required when the right hand side and/or the operator are corrupted by some noise. In the present talk, regularized solutions are constructed using regularized total least squares and dual regularized total least squares. We discuss computational aspects and provide order optimal error bounds that characterize the accuracy of the regularized solutions. The results extend earlier results where the operator is exactly given. We also present some numerical experiments, which shed light on the relationship between RTLS, dual RTLS and the standard Tikhonov regularization.
For solving linear ill-posed problems, regularization methods are required when the right hand side and/or the operator are corrupted by some noise. In the present talk, regularized solutions are constructed using regularized total least squares and dual regularized total least squares. We discuss computational aspects and provide order optimal error bounds that characterize the accuracy of the regularized solutions. The results extend earlier results where the operator is exactly given. We also present some numerical experiments, which shed light on the relationship between RTLS, dual RTLS and the standard Tikhonov regularization.
