{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,9,18]],"date-time":"2026-09-18T10:20:55Z","timestamp":1789726855764,"version":"4.0.1"},"reference-count":26,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"2","funder":[{"DOI":"10.13039\/501100003725","name":"National Research Foundation of Korea","doi-asserted-by":"publisher","award":["NRF-2014R1A2A2A01006497"],"award-info":[{"award-number":["NRF-2014R1A2A2A01006497"]}],"id":[{"id":"10.13039\/501100003725","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Sci. Comput."],"published-print":{"date-parts":[[2017,1]]},"abstract":"<jats:p>We propose nonoverlapping domain decomposition methods for solving the total variation minimization problem. We decompose the domain of the dual problem into nonoverlapping rectangular subdomains, where local total variation problems are solved. We convert the local dual problems into the equivalent primal forms which reproduce the original problem at smaller dimensions. Sequential and parallel algorithms are presented. The convergence of both algorithms is analyzed and numerical results are presented.<\/jats:p>","DOI":"10.1137\/15m1049919","type":"journal-article","created":{"date-parts":[[2017,4,13]],"date-time":"2017-04-13T11:28:02Z","timestamp":1492082882000},"page":"B403-B423","source":"Crossref","is-referenced-by-count":17,"title":["Primal Domain Decomposition Methods for the Total Variation Minimization, Based on Dual Decomposition"],"prefix":"10.1137","volume":"39","author":[{"given":"Chang-Ock","family":"Lee","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Changmin","family":"Nam","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2017,4,13]]},"reference":[{"key":"atypb1","first-page":"313","volume-title":"International Conference on Machine Learning, International Machine Learning Society","author":"Barbero \u00c1.","year":"2011"},{"key":"atypb2","doi-asserted-by":"publisher","DOI":"10.1137\/080716542"},{"key":"atypb3","doi-asserted-by":"publisher","DOI":"10.1137\/080738970"},{"key":"atypb4","doi-asserted-by":"publisher","DOI":"10.1023\/B:JMIV.0000011325.36760.1e"},{"key":"atypb5","doi-asserted-by":"publisher","DOI":"10.1007\/s002110050258"},{"key":"atypb6","doi-asserted-by":"publisher","DOI":"10.1007\/s10851-010-0251-1"},{"key":"atypb7","doi-asserted-by":"publisher","DOI":"10.1137\/S1064827596299767"},{"key":"atypb8","doi-asserted-by":"publisher","DOI":"10.1137\/140965016"},{"key":"atypb9","doi-asserted-by":"publisher","DOI":"10.1007\/s10915-013-9786-9"},{"key":"atypb10","doi-asserted-by":"publisher","DOI":"10.1007\/s10915-007-9145-9"},{"key":"atypb11","doi-asserted-by":"publisher","DOI":"10.1137\/050626090"},{"key":"atypb12","doi-asserted-by":"publisher","DOI":"10.1007\/s10444-011-9213-4"},{"key":"atypb13","doi-asserted-by":"publisher","DOI":"10.1109\/TIP.2010.2072512"},{"key":"atypb14","doi-asserted-by":"publisher","DOI":"10.1088\/0266-5611\/23\/6\/014"},{"key":"atypb15","doi-asserted-by":"publisher","DOI":"10.1007\/s00211-010-0314-7"},{"key":"atypb16","doi-asserted-by":"publisher","DOI":"10.1137\/070710779"},{"key":"atypb17","doi-asserted-by":"publisher","DOI":"10.1137\/080725891"},{"key":"atypb18","doi-asserted-by":"publisher","DOI":"10.1137\/120894130"},{"key":"atypb19","doi-asserted-by":"publisher","DOI":"10.1007\/s10915-014-9863-8"},{"key":"atypb20","doi-asserted-by":"publisher","DOI":"10.1137\/S0036139903422784"},{"key":"atypb21","doi-asserted-by":"publisher","DOI":"10.1007\/s10915-015-0138-9"},{"key":"atypb22","doi-asserted-by":"publisher","DOI":"10.1007\/s10851-007-0650-0"},{"key":"atypb23","doi-asserted-by":"publisher","DOI":"10.1016\/0167-2789(92)90242-F"},{"key":"atypb24","doi-asserted-by":"publisher","DOI":"10.1023\/A:1017501703105"},{"key":"atypb25","doi-asserted-by":"publisher","DOI":"10.1137\/090767558"},{"key":"atypb26","doi-asserted-by":"publisher","DOI":"10.3934\/ipi.2010.4.523"}],"container-title":["SIAM Journal on Scientific Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/15M1049919","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T16:30:40Z","timestamp":1787329840000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/15M1049919"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,1]]},"references-count":26,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2017,1]]}},"alternative-id":["10.1137\/15M1049919"],"URL":"https:\/\/doi.org\/10.1137\/15m1049919","relation":{},"ISSN":["1064-8275","1095-7197"],"issn-type":[{"value":"1064-8275","type":"print"},{"value":"1095-7197","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,1]]}}}