{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,8]],"date-time":"2026-05-08T20:02:36Z","timestamp":1778270556161,"version":"3.51.4"},"reference-count":19,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"3","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Numer. Anal."],"published-print":{"date-parts":[[2008,1]]},"DOI":"10.1137\/070691334","type":"journal-article","created":{"date-parts":[[2008,3,26]],"date-time":"2008-03-26T22:05:19Z","timestamp":1206569119000},"page":"1423-1441","source":"Crossref","is-referenced-by-count":29,"title":["Nondegeneracy and Weak Global Convergence of the Lloyd Algorithm in $\\mathbb{R}^d$"],"prefix":"10.1137","volume":"46","author":[{"given":"Maria","family":"Emelianenko","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Lili","family":"Ju","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Alexander","family":"Rand","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"351","reference":[{"key":"R1","doi-asserted-by":"publisher","DOI":"10.1137\/0144013"},{"key":"R2","doi-asserted-by":"publisher","DOI":"10.1137\/0604005"},{"key":"R5","doi-asserted-by":"publisher","DOI":"10.1137\/040617364"},{"key":"R6","doi-asserted-by":"publisher","DOI":"10.1137\/S0036144599352836"},{"key":"R7","doi-asserted-by":"publisher","DOI":"10.1137\/S1064827501391576"},{"key":"R8","doi-asserted-by":"publisher","DOI":"10.1137\/S1064827503428527"},{"key":"R11","doi-asserted-by":"publisher","DOI":"10.1016\/S0019-9958(80)90313-7"},{"key":"R12","doi-asserted-by":"publisher","DOI":"10.1109\/18.720541"},{"key":"R13","doi-asserted-by":"publisher","DOI":"10.1016\/j.aim.2003.07.017"},{"key":"R14","doi-asserted-by":"publisher","DOI":"10.1016\/S0167-8191(02)00151-5"},{"key":"R15","doi-asserted-by":"publisher","DOI":"10.1109\/TPAMI.2002.1017616"},{"key":"R16","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.1983.1056622"},{"key":"R17","doi-asserted-by":"publisher","DOI":"10.1109\/TCOM.1980.1094577"},{"key":"R18","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.1982.1056489"},{"key":"R21","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.1982.1056492"},{"key":"R22","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.1986.1057168"},{"key":"R23","doi-asserted-by":"publisher","DOI":"10.1109\/TPAMI.1984.4767478"},{"key":"R24","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.1982.1056480"},{"key":"R25","doi-asserted-by":"publisher","DOI":"10.1109\/18.108266"}],"container-title":["SIAM Journal on Numerical Analysis"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/070691334","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,1,29]],"date-time":"2017-01-29T15:11:32Z","timestamp":1485702692000},"score":1,"resource":{"primary":{"URL":"http:\/\/epubs.siam.org\/doi\/10.1137\/070691334"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2008,1]]},"references-count":19,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2008,1]]}},"alternative-id":["10.1137\/070691334"],"URL":"https:\/\/doi.org\/10.1137\/070691334","relation":{},"ISSN":["0036-1429","1095-7170"],"issn-type":[{"value":"0036-1429","type":"print"},{"value":"1095-7170","type":"electronic"}],"subject":[],"published":{"date-parts":[[2008,1]]}}}