DC Field | Value | Language |
---|---|---|
dc.contributor.author | Park, Jongho | ko |
dc.date.accessioned | 2021-03-26T03:16:45Z | - |
dc.date.available | 2021-03-26T03:16:45Z | - |
dc.date.created | 2020-07-27 | - |
dc.date.created | 2020-07-27 | - |
dc.date.issued | 2020-05 | - |
dc.identifier.citation | SIAM JOURNAL ON NUMERICAL ANALYSIS, v.58, no.3, pp.1495 - 1530 | - |
dc.identifier.issn | 0036-1429 | - |
dc.identifier.uri | http://hdl.handle.net/10203/282036 | - |
dc.description.abstract | This paper gives a unified convergence analysis of additive Schwarz methods for general convex optimization problems. Resembling the fact that additive Schwarz methods for linear problems are preconditioned Richardson methods, we prove that additive Schwarz methods for general convex optimization are in fact gradient methods. Then an abstract framework for convergence analysis of additive Schwarz methods is proposed. The proposed framework applied to linear elliptic problems agrees with the classical theory. We present applications of the proposed framework to various interesting convex optimization problems such as nonlinear elliptic problems, nonsmooth problems, and nonsharp problems. | - |
dc.language | English | - |
dc.publisher | SIAM PUBLICATIONS | - |
dc.title | ADDITIVE SCHWARZ METHODS FOR CONVEX OPTIMIZATION AS GRADIENT METHODS | - |
dc.type | Article | - |
dc.identifier.wosid | 000546992400005 | - |
dc.identifier.scopusid | 2-s2.0-85086039086 | - |
dc.type.rims | ART | - |
dc.citation.volume | 58 | - |
dc.citation.issue | 3 | - |
dc.citation.beginningpage | 1495 | - |
dc.citation.endingpage | 1530 | - |
dc.citation.publicationname | SIAM JOURNAL ON NUMERICAL ANALYSIS | - |
dc.identifier.doi | 10.1137/19M1300583 | - |
dc.description.isOpenAccess | N | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | additive Schwarz method | - |
dc.subject.keywordAuthor | gradient method | - |
dc.subject.keywordAuthor | convex optimization | - |
dc.subject.keywordAuthor | convergence analysis | - |
dc.subject.keywordAuthor | domain decomposition method | - |
dc.subject.keywordPlus | COORDINATE DESCENT METHOD | - |
dc.subject.keywordPlus | DECOMPOSITION METHODS | - |
dc.subject.keywordPlus | CONVERGENCE RATE | - |
dc.subject.keywordPlus | DOMAIN DECOMPOSITION | - |
dc.subject.keywordPlus | SPACE DECOMPOSITION | - |
dc.subject.keywordPlus | MINIMIZATION | - |
dc.subject.keywordPlus | ALGORITHM | - |
dc.subject.keywordPlus | PARALLEL | - |
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