{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,6]],"date-time":"2026-08-06T18:11:35Z","timestamp":1786039895477,"version":"3.56.0"},"reference-count":193,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"3","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM Rev."],"published-print":{"date-parts":[[2009,8,6]]},"DOI":"10.1137\/07070111x","type":"journal-article","created":{"date-parts":[[2009,8,6]],"date-time":"2009-08-06T22:03:51Z","timestamp":1249596231000},"page":"455-500","source":"Crossref","is-referenced-by-count":8311,"title":["Tensor Decompositions and Applications"],"prefix":"10.1137","volume":"51","author":[{"given":"Tamara G.","family":"Kolda","sequence":"first","affiliation":[{"name":"Mathematics, Informatics, and Decisions Sciences Department, Sandia National Laboratories, Livermore, CA 94551-9159."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Brett W.","family":"Bader","sequence":"additional","affiliation":[{"name":"Computer Science and Informatics Department, Sandia National Laboratories, Albuquerque, NM 87185-1318."}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2009,8,5]]},"reference":[{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-540-74260-9_69"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1093\/bioinformatics\/btm210"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1109\/TKDE.2008.112"},{"key":"ref7","first-page":"201","volume":"4","author":"Alexander J.","year":"1995","journal-title":"J. Algebraic Geom."},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1016\/j.neuroimage.2004.02.026"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1002\/cem.790"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1016\/S0169-7439(98)00010-0"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1016\/S0169-7439(00)00071-X"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1016\/S0167-9473(99)00017-1"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1021\/ac00236a025"},{"key":"ref14","first-page":"147","volume-title":"Survey of Text Mining: Clustering, Classification, and Retrieval","author":"Bader B. W.","year":"2007","edition":"2"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1145\/1186785.1186794"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1137\/060676489"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-540-74260-9_32"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1016\/j.neuroimage.2004.10.043"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1137\/1037127"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.112329799"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1137\/040604959"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1016\/0020-0190(79)90113-3"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1016\/S0885-064X(02)00007-9"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1016\/S0169-7439(97)00032-4"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1080\/10408340600969965"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1016\/S0169-7439(98)00011-2"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1002\/(SICI)1099-128X(199905\/08)13:3\/4<295::AID-CEM547>3.0.CO;2-Y"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1002\/(SICI)1099-128X(199709\/10)11:5<393::AID-CEM483>3.0.CO;2-L"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1002\/cem.801"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1002\/cem.734"},{"key":"ref36","first-page":"16","volume":"17","author":"Bro R.","year":"2003","journal-title":"Psychometrika"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1137\/0219031"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1007\/BF02310791"},{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1007\/BF02293596"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1007\/BF02288739"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.1037\/h0054245"},{"key":"ref42","doi-asserted-by":"publisher","DOI":"10.1348\/000711005X64817"},{"key":"ref43","first-page":"487","volume":"5","author":"Chen B.","year":"2002","journal-title":"EURASIP J. Appl. Signal Process."},{"key":"ref46","doi-asserted-by":"publisher","DOI":"10.1016\/0165-1684(94)90029-9"},{"key":"ref47","first-page":"1","volume-title":"Mathematics in Signal Processing V","author":"Comon P.","year":"2001"},{"key":"ref49","doi-asserted-by":"publisher","DOI":"10.1137\/060661569"},{"key":"ref50","doi-asserted-by":"publisher","DOI":"10.1016\/0165-1684(96)00079-5"},{"key":"ref51","doi-asserted-by":"publisher","DOI":"10.1016\/j.laa.2009.01.014"},{"key":"ref52","volume-title":"Multiway Data Analysis","author":"Coppi R.","year":"1989"},{"key":"ref55","doi-asserted-by":"publisher","DOI":"10.1137\/040608830"},{"key":"ref56","doi-asserted-by":"publisher","DOI":"10.1137\/060661685"},{"key":"ref57","doi-asserted-by":"publisher","DOI":"10.1137\/070690729"},{"key":"ref58","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2007.908929"},{"key":"ref59","doi-asserted-by":"publisher","DOI":"10.1016\/j.sigpro.2005.12.015"},{"key":"ref60","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2007.893943"},{"key":"ref61","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2007.910469"},{"key":"ref62","first-page":"1","volume-title":"Mathematics in Signal Processing IV","author":"De Lathauwer L.","year":"1998"},{"key":"ref63","doi-asserted-by":"publisher","DOI":"10.1137\/S0895479896305696"},{"key":"ref64","doi-asserted-by":"publisher","DOI":"10.1137\/S0895479898346995"},{"key":"ref65","doi-asserted-by":"publisher","DOI":"10.1109\/78.950782"},{"key":"ref66","doi-asserted-by":"publisher","DOI":"10.1137\/S089547980139786X"},{"key":"ref67","doi-asserted-by":"publisher","DOI":"10.1137\/070690730"},{"key":"ref68","doi-asserted-by":"publisher","DOI":"10.1016\/j.laa.2004.01.016"},{"key":"ref69","doi-asserted-by":"publisher","DOI":"10.1137\/06066518X"},{"key":"ref70","doi-asserted-by":"publisher","DOI":"10.1155\/2007\/58253"},{"key":"ref71","doi-asserted-by":"publisher","DOI":"10.1016\/j.neuroimage.2007.04.041"},{"key":"ref72","doi-asserted-by":"publisher","DOI":"10.1002\/(SICI)1097-4571(199009)41:6<391::AID-ASI1>3.0.CO;2-9"},{"key":"ref73","first-page":"121","volume-title":"Annual Research Briefs","author":"Doostan A.","year":"2007"},{"key":"ref74","doi-asserted-by":"publisher","DOI":"10.1016\/j.laa.2006.08.023"},{"key":"ref76","doi-asserted-by":"publisher","DOI":"10.1007\/BF02288367"},{"key":"ref77","doi-asserted-by":"publisher","DOI":"10.1137\/070688316"},{"key":"ref78","doi-asserted-by":"publisher","DOI":"10.1016\/S0169-7439(02)00089-8"},{"key":"ref79","doi-asserted-by":"publisher","DOI":"10.1007\/BF01129000"},{"key":"ref81","first-page":"631","volume":"23","author":"Friedlander M. P.","year":"2008","journal-title":"Comput. Optim. Appl."},{"key":"ref83","doi-asserted-by":"publisher","DOI":"10.1002\/spe.630"},{"key":"ref84","volume-title":"Matrix Computations","author":"Golub G. H.","year":"1996"},{"key":"ref85","doi-asserted-by":"publisher","DOI":"10.1016\/j.chemolab.2004.01.027"},{"key":"ref86","doi-asserted-by":"publisher","DOI":"10.1007\/s00607-003-0037-z"},{"key":"ref87","doi-asserted-by":"publisher","DOI":"10.1137\/1.9781611971354.ch9"},{"key":"ref88","doi-asserted-by":"publisher","DOI":"10.1016\/j.jco.2007.03.007"},{"key":"ref89","doi-asserted-by":"publisher","DOI":"10.1515\/1569395054012767"},{"key":"ref90","first-page":"1","volume":"16","author":"Harshman R. A.","year":"1970","journal-title":"UCLA Working Papers in Phonetics"},{"key":"ref91","first-page":"111","volume":"22","author":"Harshman R. A.","year":"1972","journal-title":"UCLA Working Papers in Phonetics"},{"key":"ref92","first-page":"30","volume":"22","author":"Harshman R. A.","year":"1972","journal-title":"UCLA Working Papers in Phonetics"},{"key":"ref94","doi-asserted-by":"publisher","DOI":"10.1002\/cem.665"},{"key":"ref95","doi-asserted-by":"publisher","DOI":"10.1287\/mksc.1.2.205"},{"key":"ref96","doi-asserted-by":"publisher","DOI":"10.1002\/cem.709"},{"key":"ref97","doi-asserted-by":"publisher","DOI":"10.1002\/cem.808"},{"key":"ref98","first-page":"216","volume-title":"Research Methods for Multi-mode Data Analysis","author":"Harshman R. A.","year":"1984"},{"key":"ref100","doi-asserted-by":"publisher","DOI":"10.1007\/BF02296963"},{"key":"ref101","doi-asserted-by":"publisher","DOI":"10.1016\/0196-6774(90)90014-6"},{"key":"ref103","doi-asserted-by":"publisher","DOI":"10.1002\/cem.1180070604"},{"key":"ref104","doi-asserted-by":"publisher","DOI":"10.1016\/0169-7439(93)E0086-J"},{"key":"ref105","doi-asserted-by":"publisher","DOI":"10.1002\/sapm192761164"},{"key":"ref106","doi-asserted-by":"publisher","DOI":"10.1002\/sapm19287139"},{"key":"ref107","doi-asserted-by":"publisher","DOI":"10.1016\/0024-3795(78)90052-6"},{"key":"ref108","doi-asserted-by":"publisher","DOI":"10.1002\/nla.297"},{"key":"ref109","doi-asserted-by":"publisher","DOI":"10.1137\/0208037"},{"key":"ref110","doi-asserted-by":"publisher","DOI":"10.1002\/(SICI)1099-128X(200001\/02)14:1<15::AID-CEM571>3.0.CO;2-Z"},{"key":"ref111","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2004.832022"},{"key":"ref112","doi-asserted-by":"publisher","DOI":"10.1007\/BF02289233"},{"key":"ref113","doi-asserted-by":"publisher","DOI":"10.1007\/BF02293984"},{"key":"ref114","doi-asserted-by":"publisher","DOI":"10.2478\/cmam-2006-0010"},{"key":"ref115","doi-asserted-by":"publisher","DOI":"10.2478\/s11533-007-0018-0"},{"key":"ref116","doi-asserted-by":"publisher","DOI":"10.1007\/BF02294633"},{"key":"ref117","first-page":"659","volume":"4","author":"Kiers H. A. L.","year":"1992","journal-title":"Statistica Appl."},{"key":"ref118","doi-asserted-by":"publisher","DOI":"10.1016\/0167-9473(93)90247-Q"},{"key":"ref119","doi-asserted-by":"publisher","DOI":"10.1007\/BF02295279"},{"key":"ref120","doi-asserted-by":"publisher","DOI":"10.1007\/s003579900033"},{"key":"ref121","doi-asserted-by":"publisher","DOI":"10.1002\/(SICI)1099-128X(199805\/06)12:3<155::AID-CEM502>3.0.CO;2-5"},{"key":"ref122","doi-asserted-by":"publisher","DOI":"10.1002\/1099-128X(200005\/06)14:3<105::AID-CEM582>3.0.CO;2-I"},{"key":"ref123","doi-asserted-by":"publisher","DOI":"10.1348\/000711003321645386"},{"key":"ref124","doi-asserted-by":"publisher","DOI":"10.1016\/S0169-7439(96)00074-3"},{"key":"ref125","doi-asserted-by":"publisher","DOI":"10.1007\/BF02294580"},{"key":"ref126","doi-asserted-by":"publisher","DOI":"10.1002\/(SICI)1099-128X(199905\/08)13:3\/4<275::AID-CEM543>3.0.CO;2-B"},{"key":"ref127","doi-asserted-by":"publisher","DOI":"10.1007\/BF02294556"},{"key":"ref128","doi-asserted-by":"publisher","DOI":"10.1007\/BF02294748"},{"key":"ref129","doi-asserted-by":"publisher","DOI":"10.1037\/1082-989X.6.1.84"},{"key":"ref130","volume-title":"The Art of Computer Programming: Seminumerical Algorithms","volume":"2","author":"Knuth D. E.","year":"1997","edition":"3"},{"key":"ref131","doi-asserted-by":"publisher","DOI":"10.1137\/S0895479801387413"},{"key":"ref132","doi-asserted-by":"publisher","DOI":"10.1137\/S0895479800368354"},{"key":"ref133","doi-asserted-by":"publisher","DOI":"10.1137\/S0895479801394465"},{"key":"ref137","doi-asserted-by":"publisher","DOI":"10.1016\/j.csda.2005.09.003"},{"key":"ref138","volume-title":"Three-Mode Principal Component Analysis: Theory and Applications","author":"Kroonenberg P. M.","year":"1983"},{"key":"ref139","doi-asserted-by":"publisher","DOI":"10.1002\/9780470238004"},{"key":"ref140","doi-asserted-by":"publisher","DOI":"10.1007\/BF02293599"},{"key":"ref141","doi-asserted-by":"publisher","DOI":"10.1016\/0024-3795(77)90069-6"},{"key":"ref142","volume-title":"Statement of Some Current Results about Three-Way Arrays","author":"Kruskal J. B.","year":"1983"},{"key":"ref143","first-page":"7","volume-title":"Multiway Data Analysis","author":"Kruskal J. B.","year":"1989"},{"key":"ref144","first-page":"115","volume-title":"Multiway Data Analysis","author":"Kruskal J. B.","year":"1989"},{"key":"ref145","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9904-1976-13988-2"},{"key":"ref146","doi-asserted-by":"publisher","DOI":"10.1155\/2003\/205264"},{"key":"ref147","doi-asserted-by":"publisher","DOI":"10.1090\/S0894-0347-05-00506-0"},{"key":"ref148","doi-asserted-by":"publisher","DOI":"10.1090\/S0273-0979-08-01176-2"},{"key":"ref149","doi-asserted-by":"publisher","DOI":"10.1002\/nla.344"},{"key":"ref150","volume-title":"Solving Least Squares Problems","author":"Lawson C. L.","year":"1974"},{"key":"ref151","doi-asserted-by":"publisher","DOI":"10.1038\/44565"},{"key":"ref152","doi-asserted-by":"publisher","DOI":"10.1214\/ss\/1177011225"},{"key":"ref155","doi-asserted-by":"publisher","DOI":"10.1109\/TC.2003.1252859"},{"key":"ref156","doi-asserted-by":"publisher","DOI":"10.1109\/12.990130"},{"key":"ref158","doi-asserted-by":"publisher","DOI":"10.1109\/78.942635"},{"key":"ref159","first-page":"123","volume-title":"Multiway Data Analysis","author":"Lundy M. E.","year":"1989"},{"key":"ref162","doi-asserted-by":"publisher","DOI":"10.1137\/060655924"},{"key":"ref163","doi-asserted-by":"publisher","DOI":"10.1016\/j.neuroimage.2004.03.038"},{"key":"ref164","doi-asserted-by":"publisher","DOI":"10.1002\/cem.1180080207"},{"key":"ref165","doi-asserted-by":"publisher","DOI":"10.1016\/j.neuroimage.2004.03.039"},{"key":"ref166","doi-asserted-by":"publisher","DOI":"10.1109\/10.2119"},{"key":"ref169","doi-asserted-by":"publisher","DOI":"10.1016\/j.jneumeth.2006.11.008"},{"key":"ref170","doi-asserted-by":"publisher","DOI":"10.1016\/j.neuroimage.2005.08.005"},{"key":"ref172","doi-asserted-by":"publisher","DOI":"10.1007\/BF02294854"},{"key":"ref173","doi-asserted-by":"publisher","DOI":"10.1016\/j.sigpro.2004.11.029"},{"key":"ref174","doi-asserted-by":"publisher","DOI":"10.1109\/TIP.2005.863112"},{"key":"ref175","volume-title":"Principles of Continuum Mechanics","author":"Narasimhan M. N. L.","year":"1993"},{"key":"ref177","doi-asserted-by":"publisher","DOI":"10.1016\/j.sigpro.2007.07.024"},{"key":"ref178","doi-asserted-by":"publisher","DOI":"10.1016\/S0169-7439(97)00031-2"},{"key":"ref179","first-page":"854","volume":"8","author":"Paatero P.","year":"1999","journal-title":"J. Comput. Graphical Statist."},{"key":"ref180","doi-asserted-by":"publisher","DOI":"10.1002\/1099-128X(200005\/06)14:3<285::AID-CEM584>3.0.CO;2-1"},{"key":"ref181","doi-asserted-by":"publisher","DOI":"10.1002\/env.3170050203"},{"key":"ref182","doi-asserted-by":"publisher","DOI":"10.1090\/S0025-5718-1973-0395196-6"},{"key":"ref183","doi-asserted-by":"publisher","DOI":"10.1016\/j.jsc.2005.05.007"},{"key":"ref184","doi-asserted-by":"publisher","DOI":"10.1007\/s11464-007-0031-4"},{"key":"ref186","doi-asserted-by":"publisher","DOI":"10.1016\/S0169-7439(97)00033-6"},{"key":"ref187","doi-asserted-by":"publisher","DOI":"10.1007\/s10260-004-0089-z"},{"key":"ref188","volume-title":"From Vectors to Tensors","author":"Ru\u00edz-Tolosa J. R.","year":"2005"},{"key":"ref189","doi-asserted-by":"publisher","DOI":"10.1002\/cem.1180040105"},{"key":"ref191","doi-asserted-by":"publisher","DOI":"10.1016\/j.patcog.2006.08.004"},{"key":"ref192","doi-asserted-by":"publisher","DOI":"10.1137\/0210032"},{"key":"ref196","doi-asserted-by":"publisher","DOI":"10.1109\/78.852018"},{"key":"ref197","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2002.803341"},{"key":"ref198","doi-asserted-by":"publisher","DOI":"10.1109\/78.824675"},{"key":"ref199","doi-asserted-by":"publisher","DOI":"10.1002\/1099-128X(200005\/06)14:3<229::AID-CEM587>3.0.CO;2-N"},{"key":"ref200","doi-asserted-by":"publisher","DOI":"10.1002\/0470012110"},{"key":"ref201","doi-asserted-by":"publisher","DOI":"10.1002\/cem.1180080104"},{"key":"ref202","doi-asserted-by":"publisher","DOI":"10.1007\/s11336-004-1266-6"},{"key":"ref204","doi-asserted-by":"publisher","DOI":"10.1007\/s11336-007-9022-3"},{"key":"ref205","doi-asserted-by":"publisher","DOI":"10.1137\/070692121"},{"key":"ref206","doi-asserted-by":"publisher","DOI":"10.1016\/j.laa.2006.08.010"},{"key":"ref207","doi-asserted-by":"publisher","DOI":"10.1007\/11336-006-1278-2"},{"key":"ref208","doi-asserted-by":"publisher","DOI":"10.1007\/BF02165411"},{"key":"ref212","doi-asserted-by":"publisher","DOI":"10.1007\/BF02294495"},{"key":"ref213","doi-asserted-by":"publisher","DOI":"10.1007\/BF02296342"},{"key":"ref214","doi-asserted-by":"publisher","DOI":"10.1002\/cem.839"},{"key":"ref215","first-page":"123","volume":"61","author":"ten Berge J. M. F.","year":"1996","journal-title":"J. Chemometrics"},{"key":"ref216","doi-asserted-by":"publisher","DOI":"10.1016\/S0024-3795(99)00057-9"},{"key":"ref217","doi-asserted-by":"publisher","DOI":"10.1007\/BF02294409"},{"key":"ref218","doi-asserted-by":"publisher","DOI":"10.1007\/BF02294992"},{"key":"ref219","doi-asserted-by":"publisher","DOI":"10.1016\/j.laa.2004.03.009"},{"key":"ref222","doi-asserted-by":"publisher","DOI":"10.1016\/j.chemolab.2004.07.003"},{"key":"ref223","doi-asserted-by":"publisher","DOI":"10.1016\/j.csda.2004.11.013"},{"key":"ref224","first-page":"122","volume-title":"Problems in Measuring Change","author":"Tucker L. R.","year":"1963"},{"key":"ref225","first-page":"110","volume-title":"Contributions to Mathematical Psychology","author":"Tucker L. R.","year":"1964"},{"key":"ref226","doi-asserted-by":"publisher","DOI":"10.1007\/BF02289464"},{"key":"ref227","doi-asserted-by":"publisher","DOI":"10.1016\/S0377-0427(00)00393-9"},{"key":"ref232","doi-asserted-by":"publisher","DOI":"10.1145\/1015706.1015725"},{"key":"ref234","doi-asserted-by":"publisher","DOI":"10.1002\/cem.789"},{"key":"ref235","doi-asserted-by":"publisher","DOI":"10.1145\/1073204.1073209"},{"key":"ref238","doi-asserted-by":"publisher","DOI":"10.1016\/S0167-8655(01)00070-8"},{"key":"ref240","doi-asserted-by":"publisher","DOI":"10.1002\/cem.689"},{"key":"ref241","doi-asserted-by":"publisher","DOI":"10.1002\/(SICI)1099-128X(199801\/02)12:1<1::AID-CEM492>3.0.CO;2-4"},{"key":"ref242","doi-asserted-by":"publisher","DOI":"10.1002\/pamm.200700773"},{"key":"ref244","doi-asserted-by":"publisher","DOI":"10.1137\/S0895479899352045"}],"container-title":["SIAM Review"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/07070111X","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,11,13]],"date-time":"2024-11-13T18:30:33Z","timestamp":1731522633000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/07070111X"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009,8,5]]},"references-count":193,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2009,8,6]]}},"alternative-id":["10.1137\/07070111X"],"URL":"https:\/\/doi.org\/10.1137\/07070111x","relation":{},"ISSN":["0036-1445","1095-7200"],"issn-type":[{"value":"0036-1445","type":"print"},{"value":"1095-7200","type":"electronic"}],"subject":[],"published":{"date-parts":[[2009,8,5]]}}}