{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,17]],"date-time":"2026-04-17T15:30:03Z","timestamp":1776439803474,"version":"3.51.2"},"reference-count":54,"publisher":"Informa UK Limited","issue":"3","content-domain":{"domain":["www.tandfonline.com"],"crossmark-restriction":true},"short-container-title":["Optimization Methods and Software"],"published-print":{"date-parts":[[2024,5,3]]},"DOI":"10.1080\/10556788.2023.2285489","type":"journal-article","created":{"date-parts":[[2024,1,25]],"date-time":"2024-01-25T04:00:37Z","timestamp":1706155237000},"page":"601-633","update-policy":"https:\/\/doi.org\/10.1080\/tandf_crossmark_01","source":"Crossref","is-referenced-by-count":4,"title":["Barzilai\u2013Borwein-like rules in proximal gradient schemes for \u2113\n            <sub>1<\/sub>\n            -regularized problems"],"prefix":"10.1080","volume":"39","author":[{"given":"Serena","family":"Crisci","sequence":"first","affiliation":[{"name":"Department of Mathematics and Physics, University of Campania \u2018L. Vanvitelli\u2019, Caserta, Italy"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Simone","family":"Rebegoldi","sequence":"additional","affiliation":[{"name":"Department of Industrial Engineering, University of Florence, Florence, Italy"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Gerardo","family":"Toraldo","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Physics, University of Campania \u2018L. Vanvitelli\u2019, Caserta, Italy"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Marco","family":"Viola","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, University College Dublin, Dublin, Ireland"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"301","published-online":{"date-parts":[[2024,1,24]]},"reference":[{"key":"e_1_3_3_2_1","doi-asserted-by":"publisher","DOI":"10.1093\/imanum\/8.1.141"},{"key":"e_1_3_3_3_1","doi-asserted-by":"publisher","DOI":"10.1137\/080716542"},{"key":"e_1_3_3_4_1","doi-asserted-by":"publisher","DOI":"10.1088\/0266-5611\/26\/10\/105004"},{"key":"e_1_3_3_5_1","doi-asserted-by":"publisher","DOI":"10.1137\/S1052623497330963"},{"key":"e_1_3_3_6_1","doi-asserted-by":"publisher","DOI":"10.18637\/jss.v060.i03"},{"key":"e_1_3_3_7_1","doi-asserted-by":"publisher","DOI":"10.1088\/0266-5611\/25\/1\/015002"},{"key":"e_1_3_3_8_1","doi-asserted-by":"publisher","DOI":"10.1137\/15M1019325"},{"key":"e_1_3_3_9_1","doi-asserted-by":"publisher","DOI":"10.1088\/1361-6420\/aa5bfd"},{"key":"e_1_3_3_10_1","doi-asserted-by":"crossref","unstructured":"S. Bonettini F. Porta M. Prato S. Rebegoldi V. Ruggiero and L. Zanni Recent advances in variable metric first-order methods in Computational Methods for Inverse Problems in Imaging M. Donatelli and S. Serra-Capizzano eds. Springer International Publishing Cham 2019 pp. 1\u201331.","DOI":"10.1007\/978-3-030-32882-5_1"},{"key":"e_1_3_3_11_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2020.125719"},{"key":"e_1_3_3_12_1","doi-asserted-by":"publisher","DOI":"10.1137\/16M1080173"},{"key":"e_1_3_3_13_1","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.0904287106"},{"key":"e_1_3_3_14_1","doi-asserted-by":"publisher","DOI":"10.1007\/s10957-013-0465-7"},{"key":"e_1_3_3_15_1","doi-asserted-by":"publisher","DOI":"10.1137\/050626090"},{"key":"e_1_3_3_16_1","doi-asserted-by":"publisher","DOI":"10.1007\/s10479-019-03308-w"},{"key":"e_1_3_3_17_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2019.03.039"},{"key":"e_1_3_3_18_1","doi-asserted-by":"publisher","DOI":"10.1137\/19M1268641"},{"key":"e_1_3_3_19_1","first-page":"1","article-title":"Hybrid limited memory gradient projection methods for box-constrained optimization problems","volume":"0","author":"Crisci S.","year":"2022","unstructured":"S. Crisci, F. Porta, V. Ruggiero, and L. Zanni, Hybrid limited memory gradient projection methods for box-constrained optimization problems, Comput. Optim. Appl. 0 (2022), pp.\u00a01\u201339.","journal-title":"Comput. Optim. Appl."},{"key":"e_1_3_3_20_1","doi-asserted-by":"publisher","DOI":"10.1007\/s11565-022-00437-2"},{"key":"e_1_3_3_21_1","doi-asserted-by":"publisher","DOI":"10.1007\/s00211-004-0569-y"},{"key":"e_1_3_3_22_1","doi-asserted-by":"publisher","DOI":"10.3934\/jimo.2005.1.181"},{"key":"e_1_3_3_23_1","doi-asserted-by":"publisher","DOI":"10.1002\/cpa.20042"},{"key":"e_1_3_3_24_1","doi-asserted-by":"publisher","DOI":"10.1093\/imanum\/drs056"},{"key":"e_1_3_3_25_1","doi-asserted-by":"publisher","DOI":"10.1007\/s10589-014-9669-5"},{"key":"e_1_3_3_26_1","doi-asserted-by":"publisher","DOI":"10.1137\/17M1128538"},{"key":"e_1_3_3_27_1","doi-asserted-by":"publisher","DOI":"10.1007\/s101070100263"},{"key":"e_1_3_3_28_1","doi-asserted-by":"publisher","DOI":"10.1007\/s10589-021-00331-1"},{"key":"e_1_3_3_29_1","doi-asserted-by":"publisher","DOI":"10.1109\/JSTSP.2007.910281"},{"key":"e_1_3_3_30_1","unstructured":"F.I.P.S. (FIPS) Helsinki Deblur Challenge 2021 (HDC2021) https:\/\/fips.fi\/HDC2021.php (2021)."},{"key":"e_1_3_3_31_1","first-page":"165","article-title":"Low storage methods for unconstrained optimization","volume":"26","author":"Fletcher R.","year":"1990","unstructured":"R. Fletcher, Low storage methods for unconstrained optimization, Lect. Appl. Math. 26 (1990), pp.\u00a0165\u2013179.","journal-title":"Lect. Appl. Math."},{"key":"e_1_3_3_32_1","doi-asserted-by":"crossref","unstructured":"R. Fletcher On the Barzilai\u2013Borwein method in Optimization and Control with Applications L. Qi K. Teo X. Yang P.M. Pardalos and D. Hearn eds. Applied Optimization Vol. 96 Springer US 2005 pp. 235\u2013256.","DOI":"10.1007\/0-387-24255-4_10"},{"key":"e_1_3_3_33_1","doi-asserted-by":"publisher","DOI":"10.3934\/jimo.2008.4.299"},{"key":"e_1_3_3_34_1","doi-asserted-by":"publisher","DOI":"10.1007\/s10589-015-9775-z"},{"key":"e_1_3_3_35_1","doi-asserted-by":"publisher","DOI":"10.1137\/0723046"},{"key":"e_1_3_3_36_1","first-page":"44","article-title":"A fixed-point continuation method for l1-regularized minimization with applications to compressed sensing","volume":"43","author":"Hale E.T.","year":"2007","unstructured":"E.T. Hale, W. Yin, and Y. Zhang, A fixed-point continuation method for l1-regularized minimization with applications to compressed sensing, CAAM TR07-07, Rice University 43 (2007), pp.\u00a044.","journal-title":"CAAM TR07-07, Rice University"},{"key":"e_1_3_3_37_1","doi-asserted-by":"publisher","DOI":"10.1109\/TIP.2011.2168410"},{"key":"e_1_3_3_38_1","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9781139020411"},{"key":"e_1_3_3_39_1","doi-asserted-by":"publisher","DOI":"10.1007\/s11075-014-9927-8"},{"key":"e_1_3_3_40_1","doi-asserted-by":"publisher","DOI":"10.1007\/s10589-022-00349-z"},{"key":"e_1_3_3_41_1","doi-asserted-by":"publisher","DOI":"10.1007\/s10589-019-00059-z"},{"key":"e_1_3_3_42_1","doi-asserted-by":"publisher","DOI":"10.1070\/SM1967v001n04ABEH001994"},{"key":"e_1_3_3_43_1","first-page":"2897","article-title":"Fonctions convexes duales et points proximaux dans un espace hilbertien","volume":"255","author":"Moreau J.J.","year":"1962","unstructured":"J.J. Moreau, Fonctions convexes duales et points proximaux dans un espace hilbertien, C. R. Acad. Sci. Ser. A 255 (1962), pp.\u00a02897\u20132899.","journal-title":"C. R. Acad. Sci. Ser. A"},{"key":"e_1_3_3_44_1","doi-asserted-by":"publisher","DOI":"10.1007\/b98874"},{"key":"e_1_3_3_45_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.matcom.2017.10.003"},{"key":"e_1_3_3_46_1","doi-asserted-by":"publisher","DOI":"10.1137\/S1052623494266365"},{"key":"e_1_3_3_47_1","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-02431-3"},{"key":"e_1_3_3_48_1","doi-asserted-by":"publisher","DOI":"10.1080\/10556780512331318182"},{"key":"e_1_3_3_49_1","doi-asserted-by":"publisher","DOI":"10.1080\/10556788.2015.1028062"},{"key":"e_1_3_3_50_1","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-007-0170-0"},{"key":"e_1_3_3_51_1","doi-asserted-by":"publisher","DOI":"10.1137\/090747695"},{"key":"e_1_3_3_52_1","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2009.2016892"},{"key":"e_1_3_3_53_1","first-page":"785","article-title":"Step-sizes for the gradient method","volume":"42","author":"Yuan Y.X.","year":"2008","unstructured":"Y.X. Yuan, Step-sizes for the gradient method, AMS\/IP Stud. Adv. Math. 42 (2008), pp.\u00a0785.","journal-title":"AMS\/IP Stud. Adv. Math."},{"key":"e_1_3_3_54_1","doi-asserted-by":"publisher","DOI":"10.1142\/5021"},{"key":"e_1_3_3_55_1","doi-asserted-by":"publisher","DOI":"10.1007\/s10589-006-6446-0"}],"container-title":["Optimization Methods and Software"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.tandfonline.com\/doi\/pdf\/10.1080\/10556788.2023.2285489","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,10,31]],"date-time":"2024-10-31T12:54:00Z","timestamp":1730379240000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.tandfonline.com\/doi\/full\/10.1080\/10556788.2023.2285489"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,1,24]]},"references-count":54,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2024,5,3]]}},"alternative-id":["10.1080\/10556788.2023.2285489"],"URL":"https:\/\/doi.org\/10.1080\/10556788.2023.2285489","relation":{},"ISSN":["1055-6788","1029-4937"],"issn-type":[{"value":"1055-6788","type":"print"},{"value":"1029-4937","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024,1,24]]},"assertion":[{"value":"The publishing and review policy for this title is described in its Aims & Scope.","order":1,"name":"peerreview_statement","label":"Peer Review Statement"},{"value":"http:\/\/www.tandfonline.com\/action\/journalInformation?show=aimsScope&journalCode=goms20","URL":"http:\/\/www.tandfonline.com\/action\/journalInformation?show=aimsScope&journalCode=goms20","order":2,"name":"aims_and_scope_url","label":"Aim & Scope"},{"value":"2023-01-05","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2023-11-15","order":2,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2024-01-24","order":3,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}