{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T02:00:57Z","timestamp":1760061657461,"version":"3.41.0"},"publisher-location":"New York, NY, USA","reference-count":60,"publisher":"ACM","license":[{"start":{"date-parts":[[2020,7,20]],"date-time":"2020-07-20T00:00:00Z","timestamp":1595203200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.acm.org\/publications\/policies\/copyright_policy#Background"}],"funder":[{"name":"Chinese Academy of Sciences Key Project","award":["QYZDJ-SSW-SYS022"],"award-info":[{"award-number":["QYZDJ-SSW-SYS022"]}]}],"content-domain":{"domain":["dl.acm.org"],"crossmark-restriction":true},"short-container-title":[],"published-print":{"date-parts":[[2020,7,20]]},"DOI":"10.1145\/3373207.3404020","type":"proceedings-article","created":{"date-parts":[[2020,7,27]],"date-time":"2020-07-27T14:07:23Z","timestamp":1595858843000},"page":"328-335","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":4,"title":["Further results on the factorization and equivalence for multivariate polynomial matrices"],"prefix":"10.1145","author":[{"given":"Dong","family":"Lu","sequence":"first","affiliation":[{"name":"Beihang University, Beijing, China"}]},{"given":"Dingkang","family":"Wang","sequence":"additional","affiliation":[{"name":"University of Chinese Academy of Sciences, Beijing, China"}]},{"given":"Fanghui","family":"Xiao","sequence":"additional","affiliation":[{"name":"University of Chinese Academy of Sciences, Beijing, China"}]}],"member":"320","published-online":{"date-parts":[[2020,7,27]]},"reference":[{"volume-title":"Applied Multidimensional Systems Theory","author":"Bose N.","key":"e_1_3_2_1_1_1","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-319-46825-9"},{"key":"e_1_3_2_1_2_1","unstructured":"N. Bose B. Buchberger and J. Guiver. 2003. Multidimensional Systems Theory and Applications. Kluwer Academic Publishers Dordrecht The Netherlands.  N. Bose B. Buchberger and J. Guiver. 2003. Multidimensional Systems Theory and Applications. Kluwer Academic Publishers Dordrecht The Netherlands."},{"key":"e_1_3_2_1_3_1","doi-asserted-by":"publisher","DOI":"10.4236\/ajcm.2012.21003"},{"key":"e_1_3_2_1_4_1","first-page":"543","article-title":"Further results on the equivalence to Smith form of multivariate polynomial matrices","volume":"42","author":"Boudellioua M.","year":"2013","journal-title":"Control and Cybernetics"},{"key":"e_1_3_2_1_5_1","doi-asserted-by":"publisher","DOI":"10.1155\/2014\/487465"},{"key":"e_1_3_2_1_6_1","doi-asserted-by":"publisher","DOI":"10.1007\/s11786-010-0057-y"},{"volume-title":"Matrices over Commutative Rings","author":"Brown W.","key":"e_1_3_2_1_7_1"},{"key":"e_1_3_2_1_8_1","doi-asserted-by":"publisher","DOI":"10.1109\/82.809533"},{"key":"e_1_3_2_1_9_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.laa.2007.07.008"},{"volume-title":"Proceedings of the 8th International Workshop on Multidimensional Systems. VDE","author":"Cluzeau T.","key":"e_1_3_2_1_10_1"},{"key":"e_1_3_2_1_11_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.laa.2015.04.035"},{"volume-title":"Using Algebraic Geometry","author":"Cox D.","key":"e_1_3_2_1_12_1","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4757-6911-1"},{"key":"e_1_3_2_1_13_1","unstructured":"W. Decker G. Greuel G. Pfister and H. Schoenemann. 2016. SINGULAR 4.0.3. a computer algebra system for polynomial computations. https:\/\/www.singular.uni-kl.de\/  W. Decker G. Greuel G. Pfister and H. Schoenemann. 2016. SINGULAR 4.0.3. a computer algebra system for polynomial computations. https:\/\/www.singular.uni-kl.de\/"},{"key":"e_1_3_2_1_14_1","unstructured":"W. Decker and C. Lossen. 2006. Computing in Algebraic Geometry: a quick start using SINGULAR. Springer-Verlag.  W. Decker and C. Lossen. 2006. Computing in Algebraic Geometry: a quick start using SINGULAR. Springer-Verlag."},{"volume-title":"Commutative Algebra: with a view toward algebraic geometry","author":"Eisenbud D.","key":"e_1_3_2_1_15_1","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4612-5350-1"},{"key":"e_1_3_2_1_16_1","series-title":"Radon Series on Computational and Applied Mathematics","volume-title":"In: Park, H., Regensburger, G. (Eds.), Gr\u00f6bner Bases in Control Theory and Signal Processing","author":"Fabia\u0144ska A.","year":"2007"},{"key":"e_1_3_2_1_17_1","unstructured":"A. Fabia\u0144ska and A. Quadrat. 2007. A Maple implementation of a constructive version of the Quillen-Suslin theorem. https:\/\/wwwb.math.rwth-aachen.de\/QuillenSuslin\/  A. Fabia\u0144ska and A. Quadrat. 2007. A Maple implementation of a constructive version of the Quillen-Suslin theorem. https:\/\/wwwb.math.rwth-aachen.de\/QuillenSuslin\/"},{"key":"e_1_3_2_1_18_1","doi-asserted-by":"publisher","DOI":"10.1080\/00207178608933558"},{"key":"e_1_3_2_1_19_1","doi-asserted-by":"publisher","DOI":"10.1080\/00207177808922487"},{"key":"e_1_3_2_1_20_1","doi-asserted-by":"crossref","unstructured":"G. Greuel and G. Pfister. 2002. A SINGULAR Introduction to Commutative Algebra. Springer-Verlag.  G. Greuel and G. Pfister. 2002. A SINGULAR Introduction to Commutative Algebra. Springer-Verlag.","DOI":"10.1007\/978-3-662-04963-1"},{"key":"e_1_3_2_1_21_1","doi-asserted-by":"publisher","DOI":"10.1007\/s11424-018-7446-8"},{"key":"e_1_3_2_1_22_1","doi-asserted-by":"publisher","DOI":"10.1007\/s11045-018-0566-4"},{"key":"e_1_3_2_1_23_1","doi-asserted-by":"publisher","DOI":"10.1109\/TCS.1982.1085085"},{"volume-title":"Linear Systems","author":"Kailath T.","key":"e_1_3_2_1_24_1"},{"key":"e_1_3_2_1_25_1","doi-asserted-by":"publisher","DOI":"10.1109\/PROC.1977.10592"},{"key":"e_1_3_2_1_26_1","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.1983.1103118"},{"key":"e_1_3_2_1_27_1","doi-asserted-by":"publisher","DOI":"10.1007\/s11045-015-0329-4"},{"key":"e_1_3_2_1_28_1","doi-asserted-by":"publisher","DOI":"10.1109\/31.7606"},{"key":"e_1_3_2_1_29_1","doi-asserted-by":"publisher","DOI":"10.1109\/81.207728"},{"key":"e_1_3_2_1_30_1","doi-asserted-by":"publisher","DOI":"10.1109\/ISCAS.1993.393791"},{"key":"e_1_3_2_1_31_1","doi-asserted-by":"publisher","DOI":"10.1023\/A:1008427830183"},{"key":"e_1_3_2_1_32_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0024-3795(99)00159-7"},{"key":"e_1_3_2_1_33_1","doi-asserted-by":"publisher","DOI":"10.1023\/A:1011192914450"},{"key":"e_1_3_2_1_34_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0024-3795(01)00370-6"},{"key":"e_1_3_2_1_35_1","unstructured":"Z. Lin M. Boudellioua and L. Xu. 2006. On the equivalence and factorization of multivariate polynomial matrices. In Proceeding of ISCAS. Greece 4911--4914.  Z. Lin M. Boudellioua and L. Xu. 2006. On the equivalence and factorization of multivariate polynomial matrices. In Proceeding of ISCAS. Greece 4911--4914."},{"key":"e_1_3_2_1_36_1","doi-asserted-by":"publisher","DOI":"10.1109\/TCSII.2005.850516"},{"key":"e_1_3_2_1_37_1","doi-asserted-by":"publisher","DOI":"10.1007\/BF01270931"},{"key":"e_1_3_2_1_38_1","doi-asserted-by":"publisher","DOI":"10.1007\/s00034-010-9229-x"},{"key":"e_1_3_2_1_39_1","doi-asserted-by":"publisher","DOI":"10.1109\/TCSII.2013.2291060"},{"key":"e_1_3_2_1_40_1","doi-asserted-by":"publisher","DOI":"10.1007\/s11045-009-0089-0"},{"key":"e_1_3_2_1_41_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.laa.2012.08.012"},{"key":"e_1_3_2_1_42_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.laa.2014.09.027"},{"key":"e_1_3_2_1_43_1","doi-asserted-by":"publisher","DOI":"10.1016\/0021-8693(92)90189-S"},{"volume-title":"proceedings of 42nd ISSAC. 277--284","author":"Lu D.","key":"e_1_3_2_1_44_1"},{"key":"e_1_3_2_1_45_1","doi-asserted-by":"publisher","DOI":"10.1007\/s11045-019-00694-z"},{"key":"e_1_3_2_1_46_1","doi-asserted-by":"publisher","DOI":"10.1109\/PROC.1977.10582"},{"key":"e_1_3_2_1_48_1","doi-asserted-by":"publisher","DOI":"10.23919\/ECC.2001.7076157"},{"key":"e_1_3_2_1_49_1","doi-asserted-by":"publisher","DOI":"10.1080\/002071798221795"},{"volume-title":"Projective modules over polynomial rings. Inventiones mathematicae 36","year":"1976","author":"Quillen D.","key":"e_1_3_2_1_50_1"},{"volume-title":"State-space and Multivariable Theory","author":"Rosenbrock H.","key":"e_1_3_2_1_51_1","doi-asserted-by":"crossref","DOI":"10.1109\/TSMC.1972.4309115"},{"key":"e_1_3_2_1_52_1","doi-asserted-by":"publisher","DOI":"10.2307\/1969915"},{"volume-title":"Linear Algebra and Its Applications","author":"Strang G.","key":"e_1_3_2_1_53_1"},{"key":"e_1_3_2_1_54_1","doi-asserted-by":"publisher","DOI":"10.1137\/S036301299122027X"},{"volume-title":"Projective modules over polynomial rings are free. Soviet mathematics - Doklady 17","year":"1976","author":"Suslin A.","key":"e_1_3_2_1_55_1"},{"key":"e_1_3_2_1_56_1","doi-asserted-by":"publisher","DOI":"10.1109\/TCSI.2007.897720"},{"key":"e_1_3_2_1_57_1","doi-asserted-by":"publisher","DOI":"10.1109\/TCSII.2007.909866"},{"key":"e_1_3_2_1_58_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.laa.2004.04.020"},{"key":"e_1_3_2_1_59_1","doi-asserted-by":"publisher","DOI":"10.1007\/s00498-005-0155-6"},{"key":"e_1_3_2_1_60_1","doi-asserted-by":"publisher","DOI":"10.1109\/TCS.1979.1084614"},{"key":"e_1_3_2_1_61_1","doi-asserted-by":"publisher","DOI":"10.1109\/TCS.1984.1085545"}],"event":{"name":"ISSAC '20: International Symposium on Symbolic and Algebraic Computation","sponsor":["SIGSAM ACM Special Interest Group on Symbolic and Algebraic Manipulation"],"location":"Kalamata Greece","acronym":"ISSAC '20"},"container-title":["Proceedings of the 45th International Symposium on Symbolic and Algebraic Computation"],"original-title":[],"link":[{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/3373207.3404020","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/dl.acm.org\/doi\/pdf\/10.1145\/3373207.3404020","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,6,17]],"date-time":"2025-06-17T23:44:46Z","timestamp":1750203886000},"score":1,"resource":{"primary":{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/3373207.3404020"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,7,20]]},"references-count":60,"alternative-id":["10.1145\/3373207.3404020","10.1145\/3373207"],"URL":"https:\/\/doi.org\/10.1145\/3373207.3404020","relation":{},"subject":[],"published":{"date-parts":[[2020,7,20]]},"assertion":[{"value":"2020-07-27","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}