Minimization of Tikhonov Functionals in Banach Spaces

Autor:	Kamil S. Kazimierski, Peter Maass, Thomas Bonesky, Frank Schöpfer, Thomas Schuster
Rok vydání:	2008
Předmět:	Article Subject Approximation property lcsh:Mathematics Applied Mathematics Mathematical analysis Banach space Finite-rank operator lcsh:QA1-939 Mathematics::Numerical Analysis Tikhonov regularization Applied mathematics C0-semigroup Reflexive space Lp space Analysis Dual norm Mathematics
Zdroj:	Abstr. Appl. Anal. Abstract and Applied Analysis, Vol 2008 (2008)
ISSN:	1687-0409 1085-3375
DOI:	10.1155/2008/192679
Popis:	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 descent method, whereby the iterations are directly carried out in the underlying space, and the other one performs iterations in the dual space. We prove strong convergence of both methods.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bbaffc863ba4902f030e0f91f0ee0eac https://doi.org/10.1155/2008/192679 Zobrazit plný text záznamu Plný text ve formátu PDF