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.
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© 2010 Higher Education Press, Beijing and Springer-Verlag Berlin Heidelberg
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Xiao, T., Zhao, Y., Su, G. (2010). Extrapolation Techniques of Tikhonov Regularization. In: Wang, Y., Yang, C., Yagola, A.G. (eds) Optimization and Regularization for Computational Inverse Problems and Applications. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-13742-6_5
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DOI: https://doi.org/10.1007/978-3-642-13742-6_5
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