{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,5,6]],"date-time":"2025-05-06T02:28:18Z","timestamp":1746498498496},"reference-count":46,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"3","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM Rev."],"published-print":{"date-parts":[[2002,1]]},"DOI":"10.1137\/s00361445024039","type":"journal-article","created":{"date-parts":[[2005,9,8]],"date-time":"2005-09-08T01:00:16Z","timestamp":1126141216000},"page":"417-454","source":"Crossref","is-referenced-by-count":15,"title":["The QR Decomposition and the Singular Value Decomposition in the Symmetrized Max-Plus Algebra Revisited"],"prefix":"10.1137","volume":"44","author":[{"given":"Bart","family":"De Schutter","sequence":"first","affiliation":[]},{"given":"Bart","family":"De Moor","sequence":"additional","affiliation":[]}],"member":"351","reference":[{"key":"R1","volume-title":"Synchronization and linearity","author":"Baccelli Fran\u00e7ois","year":"1992"},{"key":"R2","doi-asserted-by":"publisher","DOI":"10.1016\/0024-3795(88)90313-8"},{"key":"R3","doi-asserted-by":"publisher","DOI":"10.1016\/0024-3795(95)00304-A"},{"key":"R4","doi-asserted-by":"publisher","DOI":"10.1109\/9.486651"},{"key":"R5","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4757-4070-7"},{"key":"R6","doi-asserted-by":"publisher","DOI":"10.1016\/0024-3795(87)90031-0"},{"key":"R7","doi-asserted-by":"publisher","DOI":"10.1007\/BF01398880"},{"key":"R8","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.1985.1103925"},{"key":"R9","doi-asserted-by":"publisher","DOI":"10.1016\/S1367-5788(99)90091-3"},{"key":"R10","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-48708-8"},{"key":"R13","doi-asserted-by":"publisher","DOI":"10.1137\/S0363012999354648"},{"key":"R14","doi-asserted-by":"publisher","DOI":"10.1016\/0025-5610(95)00032-1"},{"key":"R15","doi-asserted-by":"publisher","DOI":"10.1016\/0167-6911(94)00062-Z"},{"key":"R16","doi-asserted-by":"publisher","DOI":"10.1007\/BF01797235"},{"key":"R17","doi-asserted-by":"publisher","DOI":"10.1016\/0024-3795(95)00455-6"},{"key":"R18","doi-asserted-by":"publisher","DOI":"10.1016\/S0947-3580(98)70119-0"},{"key":"R19","doi-asserted-by":"publisher","DOI":"10.1137\/S0895479896304782"},{"key":"R22","doi-asserted-by":"publisher","DOI":"10.1016\/S0005-1098(01)00054-1"},{"key":"R23","doi-asserted-by":"publisher","DOI":"10.1007\/BF01395779"},{"key":"R24","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4757-3552-9"},{"key":"R26","doi-asserted-by":"publisher","DOI":"10.1109\/9.478227"},{"key":"R27","doi-asserted-by":"publisher","DOI":"10.1137\/S036301299528534X"},{"key":"R28","doi-asserted-by":"publisher","DOI":"10.1016\/S0024-3795(00)00020-3"},{"key":"R29","first-page":"2","volume":"35","author":"Gazarik Michael","year":"1999","journal-title":"Kybernetika (Prague)"},{"key":"R30","volume-title":"Invariant subspaces of matrices with applications","author":"Gohberg I.","year":"1986"},{"key":"R31","volume-title":"Matrix computations","author":"Golub Gene","year":"1996"},{"key":"R32","doi-asserted-by":"publisher","DOI":"10.1137\/0910065"},{"key":"R33","doi-asserted-by":"publisher","DOI":"10.1007\/BF01385728"},{"key":"R34","doi-asserted-by":"publisher","DOI":"10.1137\/0908064"},{"key":"R35","doi-asserted-by":"publisher","DOI":"10.1287\/moor.24.2.414"},{"key":"R36","doi-asserted-by":"publisher","DOI":"10.1023\/A:1011225209640"},{"key":"R38","doi-asserted-by":"publisher","DOI":"10.1109\/5.21065"},{"key":"R40","volume-title":"Matrix analysis","author":"Horn Roger","year":"1990"},{"key":"R42","volume-title":"Infinite Series","author":"Hyslop J.","year":"1942"},{"key":"R43","doi-asserted-by":"crossref","first-page":"123","DOI":"10.1090\/qam\/88795","volume":"13","author":"Kogbetliantz E.","year":"1955","journal-title":"Quart. Appl. Math."},{"key":"R45","unstructured":"L. L\u2019yung, Identifikatsiya sistem. Teoriya dlya polzovatelya, \u201cNauka\u201d, 1991, 432\u20130, Translated from the 1987 English original by A. S. Mandel\u2019 and A. V. Nazin; Translation edited and with a preface by Ya. Z. Tsypkin93e:93002"},{"key":"R46","doi-asserted-by":"publisher","DOI":"10.1109\/9.467674"},{"key":"R47","volume-title":"Dirichlet series","author":"Mandelbrojt S.","year":"1972"},{"key":"R55","doi-asserted-by":"publisher","DOI":"10.1016\/0024-3795(88)90145-0"},{"key":"R56","doi-asserted-by":"publisher","DOI":"10.1016\/0024-3795(86)90173-4"},{"key":"R58","doi-asserted-by":"publisher","DOI":"10.1137\/1035134"},{"key":"R59","volume-title":"Linear algebra and its applications","author":"Strang Gilbert","year":"1976"},{"key":"R60","doi-asserted-by":"publisher","DOI":"10.1016\/0005-1098(93)90061-W"},{"key":"R61","doi-asserted-by":"publisher","DOI":"10.1016\/0005-1098(94)90230-5"},{"key":"R62","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4613-0465-4"},{"key":"R63","doi-asserted-by":"publisher","DOI":"10.1016\/0005-1098(94)90229-1"}],"container-title":["SIAM Review"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/S00361445024039","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,6,16]],"date-time":"2017-06-16T23:13:25Z","timestamp":1497654805000},"score":1,"resource":{"primary":{"URL":"http:\/\/epubs.siam.org\/doi\/10.1137\/S00361445024039"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2002,1]]},"references-count":46,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2002,1]]}},"alternative-id":["10.1137\/S00361445024039"],"URL":"https:\/\/doi.org\/10.1137\/s00361445024039","relation":{},"ISSN":["0036-1445","1095-7200"],"issn-type":[{"value":"0036-1445","type":"print"},{"value":"1095-7200","type":"electronic"}],"subject":[],"published":{"date-parts":[[2002,1]]}}}