Minimization of the Tikhonov functional in Banach spaces smooth and convex of power type by steepest descent in the dual

  • Authors:

  • Kamil S. Kazimierski

  • Affiliations:

  • Center for Industrial Mathematics (ZeTeM), University of Bremen, Bremen, Germany 28334

  • Venue:
  • Computational Optimization and Applications
  • Year:
  • 2011

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Abstract

For Tikhonov functionals of the form 驴(x)=驴Ax驴y驴 Y r +驴驴x驴 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.