Minimization of Tikhonov Functionals in Banach Spaces
Joint Authors
Schöpfer, Frank
Kazimierski, Kamil S.
Schuster, Thomas
Maass, Peter
Bonesky, Thomas
Source
Issue
Vol. 2008, Issue 2008 (31 Dec. 2008), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2008-03-12
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Bonesky, Thomas& Kazimierski, Kamil S.& Maass, Peter& Schöpfer, Frank& Schuster, Thomas. 2008. Minimization of Tikhonov Functionals in Banach Spaces. Abstract and Applied Analysis،Vol. 2008, no. 2008, pp.1-19.
https://search.emarefa.net/detail/BIM-453341
Modern Language Association (MLA)
Bonesky, Thomas…[et al.]. Minimization of Tikhonov Functionals in Banach Spaces. Abstract and Applied Analysis No. 2008 (2008), pp.1-19.
https://search.emarefa.net/detail/BIM-453341
American Medical Association (AMA)
Bonesky, Thomas& Kazimierski, Kamil S.& Maass, Peter& Schöpfer, Frank& Schuster, Thomas. Minimization of Tikhonov Functionals in Banach Spaces. Abstract and Applied Analysis. 2008. Vol. 2008, no. 2008, pp.1-19.
https://search.emarefa.net/detail/BIM-453341
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-453341