{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T14:06:34Z","timestamp":1753884394836,"version":"3.41.2"},"reference-count":22,"publisher":"World Scientific Pub Co Pte Ltd","issue":"03","funder":[{"name":"National Center for Applied Mathematics","award":["ncamc2021-msxm01"],"award-info":[{"award-number":["ncamc2021-msxm01"]}]},{"DOI":"10.13039\/501100005230","name":"Natural Science Foundation of Chongqing","doi-asserted-by":"crossref","award":["CSTB2022NSCQ-MSX0606","cstc2021jcyj-msxmX0499"],"award-info":[{"award-number":["CSTB2022NSCQ-MSX0606","cstc2021jcyj-msxmX0499"]}],"id":[{"id":"10.13039\/501100005230","id-type":"DOI","asserted-by":"crossref"}]},{"name":"Education Committee Project Foundation of Bayu Young Scholar, and the National Natural Science Foundation of China","award":["11901068"],"award-info":[{"award-number":["11901068"]}]},{"name":"Team Building Project for Graduate Tutors in Chongqing","award":["yds223010"],"award-info":[{"award-number":["yds223010"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Asia Pac. J. Oper. Res."],"published-print":{"date-parts":[[2024,6]]},"abstract":"<jats:p> The double-proximal gradient algorithm (DPGA) is a new variant of the classical difference-of-convex algorithm (DCA) for solving difference-of-convex (DC) optimization problems. In this paper, we propose an accelerated version of the double-proximal gradient algorithm for DC programming, in which the objective function consists of three convex modules (only one module is smooth). We establish convergence of the sequence generated by our algorithm if the objective function satisfies the Kurdyka\u2013[Formula: see text]ojasiewicz (K[Formula: see text]) property and show that its convergence rate is not weaker than DPGA. Compared with DPGA, the numerical experiments on an image processing model show that the number of iterations of ADPGA is reduced by 43.57% and the running time is reduced by 43.47% on average. <\/jats:p>","DOI":"10.1142\/s0217595923500288","type":"journal-article","created":{"date-parts":[[2023,10,6]],"date-time":"2023-10-06T02:29:46Z","timestamp":1696559386000},"source":"Crossref","is-referenced-by-count":0,"title":["An Accelerated Double-Proximal Gradient Algorithm for DC Programming"],"prefix":"10.1142","volume":"41","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1639-2603","authenticated-orcid":false,"given":"Gaoxi","family":"Li","sequence":"first","affiliation":[{"name":"School of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400067, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4848-7175","authenticated-orcid":false,"given":"Ying","family":"Yi","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400067, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0009-0000-3788-3351","authenticated-orcid":false,"given":"Yingquan","family":"Huang","sequence":"additional","affiliation":[{"name":"Chongqing Key Laboratory of Social Economy and Applied Statistics, Chongqing 400067, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2023,11,4]]},"reference":[{"key":"S0217595923500288BIB001","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-018-1292-2"},{"key":"S0217595923500288BIB002","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-48311-5"},{"key":"S0217595923500288BIB003","doi-asserted-by":"publisher","DOI":"10.1137\/080716542"},{"key":"S0217595923500288BIB004","doi-asserted-by":"publisher","DOI":"10.1007\/s10851-013-0486-8"},{"issue":"1","key":"S0217595923500288BIB005","first-page":"89","volume":"20","author":"Chambolle A","year":"2004","journal-title":"Journal of Mathematical Imaging and Vision"},{"key":"S0217595923500288BIB006","doi-asserted-by":"publisher","DOI":"10.1007\/s10851-010-0251-1"},{"key":"S0217595923500288BIB007","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2009.2026004"},{"key":"S0217595923500288BIB008","doi-asserted-by":"publisher","DOI":"10.1007\/s10479-016-2333-y"},{"key":"S0217595923500288BIB009","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2017.08.061"},{"key":"S0217595923500288BIB010","doi-asserted-by":"publisher","DOI":"10.1142\/S0217595921500391"},{"key":"S0217595923500288BIB011","doi-asserted-by":"publisher","DOI":"10.1137\/14098435X"},{"key":"S0217595923500288BIB012","doi-asserted-by":"publisher","DOI":"10.1007\/s10208-013-9150-3"},{"key":"S0217595923500288BIB013","doi-asserted-by":"publisher","DOI":"10.1016\/0041-5553(64)90137-5"},{"key":"S0217595923500288BIB014","doi-asserted-by":"publisher","DOI":"10.1515\/9781400873173"},{"key":"S0217595923500288BIB015","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-02431-3"},{"issue":"4","key":"S0217595923500288BIB017","first-page":"451","volume":"21","author":"Sun WY","year":"2003","journal-title":"Journal of Computational Mathematics"},{"issue":"1","key":"S0217595923500288BIB018","first-page":"289","volume":"22","author":"Tao PD","year":"1997","journal-title":"Acta Mathematica Vietnamica"},{"key":"S0217595923500288BIB019","doi-asserted-by":"publisher","DOI":"10.1016\/0022-247X(78)90243-3"},{"key":"S0217595923500288BIB020","doi-asserted-by":"publisher","DOI":"10.1007\/BF00250669"},{"key":"S0217595923500288BIB021","doi-asserted-by":"publisher","DOI":"10.1007\/s10589-017-9954-1"},{"key":"S0217595923500288BIB022","doi-asserted-by":"publisher","DOI":"10.1142\/S0217595921500445"},{"key":"S0217595923500288BIB023","doi-asserted-by":"publisher","DOI":"10.1137\/140952363"}],"container-title":["Asia-Pacific Journal of Operational Research"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0217595923500288","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,11]],"date-time":"2024-06-11T05:41:49Z","timestamp":1718084509000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/10.1142\/S0217595923500288"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,11,4]]},"references-count":22,"journal-issue":{"issue":"03","published-print":{"date-parts":[[2024,6]]}},"alternative-id":["10.1142\/S0217595923500288"],"URL":"https:\/\/doi.org\/10.1142\/s0217595923500288","relation":{},"ISSN":["0217-5959","1793-7019"],"issn-type":[{"type":"print","value":"0217-5959"},{"type":"electronic","value":"1793-7019"}],"subject":[],"published":{"date-parts":[[2023,11,4]]},"article-number":"2350028"}}