{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,30]],"date-time":"2026-04-30T17:02:22Z","timestamp":1777568542186,"version":"3.51.4"},"reference-count":17,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"3","funder":[{"DOI":"10.13039\/501100001665","name":"Agence Nationale de la Recherche","doi-asserted-by":"publisher","award":["ANR-19-PI3A-0004"],"award-info":[{"award-number":["ANR-19-PI3A-0004"]}],"id":[{"id":"10.13039\/501100001665","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001665","name":"Agence Nationale de la Recherche","doi-asserted-by":"publisher","award":["ANR MaSDOL 19-CE23-0017-01"],"award-info":[{"award-number":["ANR MaSDOL 19-CE23-0017-01"]}],"id":[{"id":"10.13039\/501100001665","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001665","name":"Agence Nationale de la Recherche","doi-asserted-by":"publisher","award":["ANR-18-CE40-0005.P"],"award-info":[{"award-number":["ANR-18-CE40-0005.P"]}],"id":[{"id":"10.13039\/501100001665","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000181","name":"Air Force Office of Scientific Research","doi-asserted-by":"publisher","award":["FA9550-19-1-7026"],"award-info":[{"award-number":["FA9550-19-1-7026"]}],"id":[{"id":"10.13039\/100000181","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000181","name":"Air Force Office of Scientific Research","doi-asserted-by":"publisher","award":["FA8655-22-1-7012"],"award-info":[{"award-number":["FA8655-22-1-7012"]}],"id":[{"id":"10.13039\/100000181","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Optim."],"published-print":{"date-parts":[[2023,9,30]]},"DOI":"10.1137\/22m1512703","type":"journal-article","created":{"date-parts":[[2023,7,25]],"date-time":"2023-07-25T15:43:59Z","timestamp":1690299839000},"page":"1494-1517","source":"Crossref","is-referenced-by-count":2,"title":["The Derivatives of Sinkhorn\u2013Knopp Converge"],"prefix":"10.1137","volume":"33","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-8180-075X","authenticated-orcid":true,"given":"Edouard","family":"Pauwels","sequence":"first","affiliation":[{"name":"IRIT, CNRS, Universit\u00e9 de Toulouse, ANITI, Toulouse, France, and Institut universitaire de France (IUF), 75005, Paris, France."}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4077-708X","authenticated-orcid":true,"given":"Samuel","family":"Vaiter","sequence":"additional","affiliation":[{"name":"CNRS & Universit\u00e9 C\u00f4te d\u2019Azur, CNRS, LJAD, Nice, France."}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"351","published-online":{"date-parts":[[2023,7,24]]},"reference":[{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1137\/100805741"},{"key":"ref3","series-title":"CMS Books Math. 15","volume-title":"Generalized Inverses: Theory and Applications","author":"Ben-Israel A.","year":"2003","edition":"2"},{"key":"ref4","first-page":"219","volume":"85","author":"Birkhoff G.","year":"1957","journal-title":"Trans. Amer. Math. Soc."},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1145\/2897824.2925918"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1080\/10556789408805572"},{"key":"ref15","first-page":"1","volume":"22","author":"Flamary R.","year":"2021","journal-title":"J. Mach. Learn. Res."},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1016\/0024-3795(89)90490-4"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1080\/10556789208805503"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1080\/10556789308805549"},{"key":"ref21","volume-title":"Matrix Analysis","author":"Horn R. A.","year":"2013","edition":"2"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1007\/BF01931367"},{"key":"ref26","first-page":"1","volume":"51","author":"Peyr\u00e9 G.","year":"2019","journal-title":"Found. Trends Mach. Learn."},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1214\/aos\/1176324703"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1137\/0114067"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1214\/aoms\/1177703591"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.2307\/2314570"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1145\/355586.364791"}],"container-title":["SIAM Journal on Optimization"],"original-title":[],"language":"en","deposited":{"date-parts":[[2023,9,29]],"date-time":"2023-09-29T16:01:46Z","timestamp":1696003306000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/22M1512703"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,7,24]]},"references-count":17,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2023,9,30]]}},"alternative-id":["10.1137\/22M1512703"],"URL":"https:\/\/doi.org\/10.1137\/22m1512703","relation":{},"ISSN":["1052-6234","1095-7189"],"issn-type":[{"value":"1052-6234","type":"print"},{"value":"1095-7189","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,7,24]]}}}