Parameter choice strategies for error expressions and the numerical stability of Tikhonov-regularized approximation formulae
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Computational Mathematics
Link
https://link.springer.com/content/pdf/10.1007/s40314-023-02337-3.pdf
Reference48 articles.
1. An C, Wu H-N (2020) Tikhonov regularization for polynomial approximation problems in Gauss quadrature points. Inverse Prob 37(1):015008. https://doi.org/10.1088/1361-6420/abcd44
2. An C, Wu H-N (2019) The numerical stability of regularized barycentric interpolation formulae for interpolation and extrapolation. arXiv preprint arXiv:1904.07187
3. Berrut J-P, Trefethen LN (2004) Barycentric Lagrange interpolation. SIAM Rev 46(3):501–517. https://doi.org/10.1137/S0036144502417715
4. Bonesky T (2008) Morozov’s discrepancy principle and Tikhonov-type functionals. Inverse Prob 25:015015
5. Brezinski C, Rodriguez G, Seatzu S (2008) Error estimates for linear systems with applications to regularization. Num Algorithms 49:85–104. https://doi.org/10.1007/s11075-008-9163-1
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