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      Global and uniform convergence of subspace correction methods for some convex optimization problems

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      Tai-Xu-01.pdf (301.2Kb)
      Author
      Tai, Xue Cheng
      Xu, Jinchao
      Date of Issue
      2002
      School
      School of Physical and Mathematical Sciences
      Version
      Published version
      Abstract
      This paper gives some global and uniform convergence estimates for a class of subspace correction (based on space decomposition) iterative methods applied to some unconstrained convex optimization problems. Some multigrid and domain decomposition methods are also discussed as special examples for solving some nonlinear elliptic boundary value problems.
      Subject
      DRNTU::Science::Mathematics::Applied mathematics::Numerical analysis
      Type
      Journal Article
      Series/Journal Title
      Mathematics of computation
      Rights
      Mathematics of Computation © copyright 2002 American Mathematical Society. The journal's website is located at www.ams.org/mcom/.
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      http://sfxna09.hosted.exlibrisgroup.com:3410/ntu/sfxlcl3?sid=metalib:ELSEVIER_SCOPUS&id=doi:&genre=&isbn=&issn=&date=2002&volume=71&issue=237&spage=105&epage=124&aulast=Tai&aufirst=%20X%20%2DC&auinit=&title=Mathematics%20of%20Computation&atitle=Global%20and%20uniform%20convergence%20of%20subspace%20correction%20methods%20for%20some%20convex%20optimization%20problems&sici.
      Get published version (via NTU subscribed resources)
      http://dx.doi.org/10.1090/S0025-5718-01-01311-4.
      Get published version (via Digital Object Identifier)

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