Global and uniform convergence of subspace correction methods for some convex optimization problems
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 so...
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| Format: | Journal Article |
| Language: | English |
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2009
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| Online Access: | https://hdl.handle.net/10356/91639 http://hdl.handle.net/10220/6068 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. |
| _version_ | 1826114679625220096 |
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| author | Tai, Xue Cheng Xu, Jinchao |
| author2 | School of Physical and Mathematical Sciences |
| author_facet | School of Physical and Mathematical Sciences Tai, Xue Cheng Xu, Jinchao |
| author_sort | Tai, Xue Cheng |
| collection | NTU |
| description | 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. |
| first_indexed | 2024-10-01T03:43:04Z |
| format | Journal Article |
| id | ntu-10356/91639 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T03:43:04Z |
| publishDate | 2009 |
| record_format | dspace |
| spelling | ntu-10356/916392023-02-28T19:37:52Z Global and uniform convergence of subspace correction methods for some convex optimization problems Tai, Xue Cheng Xu, Jinchao School of Physical and Mathematical Sciences DRNTU::Science::Mathematics::Applied mathematics::Numerical analysis 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. Published version 2009-08-12T06:52:46Z 2019-12-06T18:09:24Z 2009-08-12T06:52:46Z 2019-12-06T18:09:24Z 2002 2002 Journal Article Tai, X. C., & Xu, J. (2002). Global and uniform convergence of subspace correction methods for some convex optimization problems. Mathematics of Computation, 71(237), 105-124. 0025-5718 https://hdl.handle.net/10356/91639 http://hdl.handle.net/10220/6068 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. 10.1090/S0025-5718-01-01311-4. en Mathematics of computation Mathematics of Computation © copyright 2002 American Mathematical Society. The journal's website is located at www.ams.org/mcom/. 20 p. application/pdf |
| spellingShingle | DRNTU::Science::Mathematics::Applied mathematics::Numerical analysis Tai, Xue Cheng Xu, Jinchao Global and uniform convergence of subspace correction methods for some convex optimization problems |
| title | Global and uniform convergence of subspace correction methods for some convex optimization problems |
| title_full | Global and uniform convergence of subspace correction methods for some convex optimization problems |
| title_fullStr | Global and uniform convergence of subspace correction methods for some convex optimization problems |
| title_full_unstemmed | Global and uniform convergence of subspace correction methods for some convex optimization problems |
| title_short | Global and uniform convergence of subspace correction methods for some convex optimization problems |
| title_sort | global and uniform convergence of subspace correction methods for some convex optimization problems |
| topic | DRNTU::Science::Mathematics::Applied mathematics::Numerical analysis |
| url | https://hdl.handle.net/10356/91639 http://hdl.handle.net/10220/6068 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. |
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