Minimization of the Tikhonov functional in Banach spaces smooth and convex of power type by steepest descent in the dual |
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| Authors: | Kamil S Kazimierski |
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| Institution: | 1.Center for Industrial Mathematics (ZeTeM),University of Bremen,Bremen,Germany |
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| Abstract: | For Tikhonov functionals of the form Ψ(x)=‖Ax−y‖
Y
r
+α‖x‖
X
q
we investigate a steepest descent method in the dual of the Banach space X. We show convergence rates for the proposed method and present numerical tests. |
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| Keywords: | |
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