A predictor–corrector iterated Tikhonov regularization for linear ill-posed inverse problems

作者：

Highlights：

• Propose an accelerated version of iterated Tikhonov regularization.

• Derive an optimal order error estimate for the convergence of the proposed method.

• The accelerated method could improve computational efficiency without sacrificing accuracy.

• The proposed method outperforms other methods for large-scale inverse problems.

摘要

•Propose an accelerated version of iterated Tikhonov regularization.•Derive an optimal order error estimate for the convergence of the proposed method.•The accelerated method could improve computational efficiency without sacrificing accuracy.•The proposed method outperforms other methods for large-scale inverse problems.

论文关键词：Ill-posed problems,Inverse problems,Iterated Tikhonov regularization,Discrepancy principle,Image deblurring

论文评审过程：Available online 3 August 2013.

论文官网地址：https://doi.org/10.1016/j.amc.2013.06.080