{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,9]],"date-time":"2026-04-09T14:01:44Z","timestamp":1775743304156,"version":"3.50.1"},"reference-count":44,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"4","funder":[{"name":"R&D Project of Pazhou Lab","award":["2023K0603"],"award-info":[{"award-number":["2023K0603"]}]},{"DOI":"10.13039\/501100012226","name":"Fundamental Research Funds for the Central Universities","doi-asserted-by":"publisher","award":["YWF-22-T-204"],"award-info":[{"award-number":["YWF-22-T-204"]}],"id":[{"id":"10.13039\/501100012226","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["12131004"],"award-info":[{"award-number":["12131004"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Matrix Anal. Appl."],"published-print":{"date-parts":[[2024,12,31]]},"DOI":"10.1137\/24m1652234","type":"journal-article","created":{"date-parts":[[2024,11,4]],"date-time":"2024-11-04T09:31:02Z","timestamp":1730712662000},"page":"2135-2154","source":"Crossref","is-referenced-by-count":20,"title":["Eigenvalues of Dual Hermitian Matrices with Application in Formation Control"],"prefix":"10.1137","volume":"45","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-1112-5250","authenticated-orcid":true,"given":"Liqun","family":"Qi","sequence":"first","affiliation":[{"name":"Department of Mathematics, School of Science, Hangzhou Dianzi University, Hangzhou 310018, China, and Department of Applied Mathematics, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong."}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6815-4060","authenticated-orcid":true,"given":"Chunfeng","family":"Cui","sequence":"additional","affiliation":[{"name":"Corresponding author. LMIB of the Ministry of Education, School of Mathematical Sciences, Beihang University, Beijing 100191, China."}]}],"member":"351","published-online":{"date-parts":[[2024,11,4]]},"reference":[{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-007-4620-6_1"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1137\/060656346"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1016\/j.laa.2021.09.009"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1049\/iet-csr.2020.0029"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1016\/j.robot.2015.12.001"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1137\/050628258"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1137\/S0895479802217928"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1137\/040606715"},{"key":"ref10","first-page":"381","volume":"4","author":"Clifford W. K.","year":"1873","journal-title":"Proc. Lond. Math. Soc."},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.3390\/sym16091142"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1007\/s10915-024-02561-x"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1177\/02783649922066213"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1016\/j.aml.2024.109021"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.3390\/sym14071359"},{"key":"ref17","volume-title":"Dual-Number Methods in Kinematics, Statics and Dynamics","author":"Fischer I. S.","year":"1998"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.56021\/9781421407944"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1109\/JRA.1987.1087138"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1093\/imaiai\/iaae014"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1307\/mmj\/1028989917"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1080\/0308108031000053611"},{"key":"ref23","volume-title":"The Eigenvalue Problem of Quaternion Matrix: Structure-Preserving Algorithms and Applications","author":"Jia Z.","year":"2019"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1007\/s10915-023-02355-7"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1016\/j.laa.2012.07.049"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.3389\/fnbeh.2013.00007"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1137\/23M1547299"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2018.06.015"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2014.2309031"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1137\/23M1552115"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1007\/s11044-007-9088-9"},{"key":"ref32","first-page":"207","volume-title":"Multibody Dynamics","author":"Pennestri E.","year":"2009"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2004.834113"},{"key":"ref34","volume":"4","author":"Qi L.","year":"2023","journal-title":"Commun. Appl. Math. Comput."},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1007\/s42967-022-00189-y"},{"key":"ref37","first-page":"257","volume":"19","author":"Qi L.","year":"2023","journal-title":"Pac. J. Optim."},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.4310\/CMS.2023.v21.n7.a5"},{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1016\/j.laa.2011.10.021"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1016\/j.jfranklin.2019.09.045"},{"key":"ref41","volume-title":"Geometrie der Dynamen","author":"Study E.","year":"1903"},{"key":"ref42","doi-asserted-by":"publisher","DOI":"10.1016\/j.mechmachtheory.2020.104158"},{"key":"ref43","doi-asserted-by":"publisher","DOI":"10.1016\/j.mechmachtheory.2020.104212"},{"key":"ref44","doi-asserted-by":"publisher","DOI":"10.1109\/TRO.2012.2196310"},{"key":"ref45","doi-asserted-by":"publisher","DOI":"10.1137\/23M1556642"},{"key":"ref46","doi-asserted-by":"publisher","DOI":"10.1016\/0095-8956(89)90063-4"},{"key":"ref47","doi-asserted-by":"publisher","DOI":"10.1016\/0024-3795(95)00543-9"}],"container-title":["SIAM Journal on Matrix Analysis and Applications"],"original-title":[],"language":"en","deposited":{"date-parts":[[2024,11,4]],"date-time":"2024-11-04T09:31:07Z","timestamp":1730712667000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/24M1652234"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,11,4]]},"references-count":44,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2024,12,31]]}},"alternative-id":["10.1137\/24M1652234"],"URL":"https:\/\/doi.org\/10.1137\/24m1652234","relation":{},"ISSN":["0895-4798","1095-7162"],"issn-type":[{"value":"0895-4798","type":"print"},{"value":"1095-7162","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024,11,4]]}}}