{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,20]],"date-time":"2026-02-20T07:52:41Z","timestamp":1771573961249,"version":"3.50.1"},"reference-count":17,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"3","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Matrix Anal. & Appl."],"published-print":{"date-parts":[[2015,1]]},"DOI":"10.1137\/15m1007835","type":"journal-article","created":{"date-parts":[[2015,9,30]],"date-time":"2015-09-30T10:32:39Z","timestamp":1443609159000},"page":"1360-1380","source":"Crossref","is-referenced-by-count":5,"title":["Counting Real Critical Points of the Distance to Orthogonally Invariant Matrix Sets"],"prefix":"10.1137","volume":"36","author":[{"given":"Dmitriy","family":"Drusvyatskiy","sequence":"first","affiliation":[]},{"given":"Hon-Leung","family":"Lee","sequence":"additional","affiliation":[]},{"given":"Rekha R.","family":"Thomas","sequence":"additional","affiliation":[]}],"member":"351","reference":[{"key":"atypb3","doi-asserted-by":"publisher","DOI":"10.1007\/s102080010008"},{"key":"atypb6","doi-asserted-by":"publisher","DOI":"10.1137\/130916710"},{"key":"atypb7","first-page":"547","volume":"15","author":"Daniilidis A.","year":"2008","journal-title":"J. Convex Anal."},{"key":"atypb9","doi-asserted-by":"publisher","DOI":"10.1007\/BF01898787"},{"key":"atypb11","doi-asserted-by":"publisher","DOI":"10.1016\/j.laa.2014.11.012"},{"key":"atypb12","doi-asserted-by":"crossref","unstructured":"J. Draisma, E. Horobet, G. Ottaviani, B. Sturmfels, and R. R. Thomas,The Euclidean distance degree of an algebraic variety, Found. Comput. Math., DOI:10.1007\/s10208-014-9240-x.","DOI":"10.1007\/s10208-014-9240-x"},{"key":"atypb14","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-2014-06412-X"},{"key":"atypb15","doi-asserted-by":"publisher","DOI":"10.1007\/BF00054997"},{"key":"atypb22","doi-asserted-by":"publisher","DOI":"10.1287\/moor.21.3.576"},{"key":"atypb23","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/s10107980004a","volume":"84","author":"Lewis A. S.","year":"1999","journal-title":"Math. Program."},{"key":"atypb24","doi-asserted-by":"crossref","first-page":"155","DOI":"10.1007\/s10107-003-0441-3","volume":"97","author":"Lewis A. S.","year":"2003","journal-title":"Math. Program."},{"key":"atypb25","doi-asserted-by":"publisher","DOI":"10.1007\/s11228-004-7197-7"},{"key":"atypb27","doi-asserted-by":"publisher","DOI":"10.1137\/13094520X"},{"key":"atypb28","doi-asserted-by":"publisher","DOI":"10.1215\/S0012-7094-00-10431-0"},{"key":"atypb30","doi-asserted-by":"publisher","DOI":"10.1215\/S0012-7094-85-05223-8"},{"key":"atypb31","first-page":"286","volume":"1","author":"J","year":"1937","journal-title":"Tomck. Univ. Rev."},{"key":"atypb32","doi-asserted-by":"publisher","DOI":"10.2307\/1969908"}],"container-title":["SIAM Journal on Matrix Analysis and Applications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/15M1007835","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,10,2]],"date-time":"2017-10-02T12:02:11Z","timestamp":1506945731000},"score":1,"resource":{"primary":{"URL":"http:\/\/epubs.siam.org\/doi\/10.1137\/15M1007835"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,1]]},"references-count":17,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2015,1]]}},"alternative-id":["10.1137\/15M1007835"],"URL":"https:\/\/doi.org\/10.1137\/15m1007835","relation":{},"ISSN":["0895-4798","1095-7162"],"issn-type":[{"value":"0895-4798","type":"print"},{"value":"1095-7162","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,1]]}}}