Extrapolation Techniques of Tikhonov Regularization

Tingyan Xiao (), Yuan Zhao () and Guozhong Su ()
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Tingyan Xiao: Hebei University of Technology, School of Sciences
Yuan Zhao: Hebei University of Technology, School of Sciences
Guozhong Su: Hebei University of Technology, School of Sciences

Chapter Chapter 5 in Optimization and Regularization for Computational Inverse Problems and Applications, 2010, pp 107-126 from Springer

Abstract: Abstract The numerical solution of inverse problems using Tikhonov’s regularization methods requires a huge amount of computations in iterative processes. It can employ extrapolation techniques to accelerate the convergence process or to improve accuracy of the regularized solution. This chapter aims to introduce some main extrapolation methods that have been studied for solving linear inverse problems in detail. Our emphasis is to discuss related technical problems, to propose a new extrapolation algorithm based on the Hermitian interpolation and to present results of numerical experiments for showing the merits of extrapolated regularization methods.

Keywords: Regularization Parameter; Regularization Method; Tikhonov Regularization; Choice Rule; Hermitian Interpolation (search for similar items in EconPapers)
Date: 2010
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DOI: 10.1007/978-3-642-13742-6_5

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