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One new strategy for a priori choice of regularizing parameters in Tikhonov's regularization

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Published under licence by IOP Publishing Ltd
, , Citation J Cheng and M Yamamoto 2000 Inverse Problems 16 L31 DOI 10.1088/0266-5611/16/4/101

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1 Department of Mathematics, Fudan University, Shanghai 200433, People's Republic of China

2 Department of Mathematics, Faculty of Engineering, Gunma University, Kiryu 376-8515, Japan

3 Department of Mathematical Sciences, University of Tokyo, Komaba, Meguro, Tokyo 153, Japan

Dates

  1. Received 20 January 2000

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0266-5611/16/4/L31

Abstract

In this paper, based on the conditional stability estimate for ill-posed inverse problems, we propose a new strategy for a priori choice of regularizing parameters in Tikhonov's regularization and we show that it can be applied to a wide class of inverse problems. The convergence rate of the regularized solutions is also proved.

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10.1088/0266-5611/16/4/101