Zobrazeno 1 - 6
of 6
pro vyhledávání: '"Thomas Bonesky"'
Publikováno v:
Abstract and Applied Analysis, Vol 2008 (2008)
Tikhonov functionals are known to be well suited for obtaining regularized solutions of linear operator equations. We analyze two iterative methods for finding the minimizer of norm-based Tikhonov functionals in Banach spaces. One is the steepest des
Externí odkaz:
https://doaj.org/article/2609ed6c15844aba919413de4ff04c58
Publikováno v:
Advances in Computational Mathematics. 33:385-411
This paper is concerned with the numerical treatment of inverse heat conduction problems. In particular, we combine recent results on the regularization of ill-posed problems by iterated soft shrinkage with adaptive wavelet algorithms for the forward
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::44dad6a23aeb20878628bfa3de961561
https://doi.org/10.1007/s10444-010-9147-2
https://doi.org/10.1007/s10444-010-9147-2
Publikováno v:
Abstr. Appl. Anal.
Abstract and Applied Analysis, Vol 2008 (2008)
Abstract and Applied Analysis, Vol 2008 (2008)
Tikhonov functionals are known to be well suited for obtaining regularized solutions of linear operator equations. We analyze two iterative methods for finding the minimizer of norm-based Tikhonov functionals in Banach spaces. One is the steepest des
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bbaffc863ba4902f030e0f91f0ee0eac
https://doi.org/10.1155/2008/192679
https://doi.org/10.1155/2008/192679
A generalized conditional gradient method for nonlinear operator equations with sparsity constraints
Publikováno v:
Inverse Problems. 23:2041-2058
The intention of this paper is to show the applicability of a generalized conditional gradient method for the minimization of Tikhonov-type functionals, which occur in the regularization of nonlinear inverse problems with sparsity constraints. We con
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3037d863eeea9e5c66035c92fe0895a1
https://doi.org/10.1088/0266-5611/23/5/014
https://doi.org/10.1088/0266-5611/23/5/014
Autor:
Thomas Bonesky
Publikováno v:
Inverse Problems. 25:015015
This paper deals with the well-known discrepancy principle of Morozov. We show that the principle can be used as an a posteriori choice rule for determining the regularization parameter of Tikhonov regularization considering more general penalty term
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4947ccb1c5608e8e57dec3e36d6d6db1
https://doi.org/10.1088/0266-5611/25/1/015015
https://doi.org/10.1088/0266-5611/25/1/015015
Publikováno v:
Inverse Problems; Oct2007, Vol. 23 Issue 5, p2041-2058, 18p