{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,25]],"date-time":"2025-09-25T18:12:22Z","timestamp":1758823942239,"version":"3.37.3"},"reference-count":19,"publisher":"Wiley","license":[{"start":{"date-parts":[[2014,1,1]],"date-time":"2014-01-01T00:00:00Z","timestamp":1388534400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11301529","11301252"],"award-info":[{"award-number":["11301529","11301252"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11301529","11301252"],"award-info":[{"award-number":["11301529","11301252"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100002858","name":"Postdoctoral Science Foundation of China","doi-asserted-by":"crossref","award":["11301529","11301252"],"award-info":[{"award-number":["11301529","11301252"]}],"id":[{"id":"10.13039\/501100002858","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2014]]},"abstract":"<jats:p>This paper, by means of complex representation of a quaternion matrix, discusses the consimilarity of quaternion matrices, and obtains a relation between consimilarity and similarity of quaternion matrices. It sets up an algebraic bridge between consimilarity and similarity, and turns the theory of consimilarity of quaternion matrices into that of ordinary similarity of complex matrices. This paper also gives algebraic methods for finding coneigenvalues and coneigenvectors of quaternion matrices by means of complex representation of a quaternion matrix.<\/jats:p>","DOI":"10.1155\/2014\/795203","type":"journal-article","created":{"date-parts":[[2014,9,1]],"date-time":"2014-09-01T17:05:27Z","timestamp":1409591127000},"page":"1-5","source":"Crossref","is-referenced-by-count":3,"title":["An Algebraic Relation between Consimilarity and Similarity of Quaternion Matrices and Applications"],"prefix":"10.1155","volume":"2014","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-7990-5800","authenticated-orcid":true,"given":"Tongsong","family":"Jiang","sequence":"first","affiliation":[{"name":"College of Science, Linyi University, Linyi, Shandong 276005, China"},{"name":"College of Mathematics and System Science, Shandong University of Science and Technology, Qingdao, Shandong 266590, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xuehan","family":"Cheng","sequence":"additional","affiliation":[{"name":"College of Mathematics and Statistics Science, Ludong University, Yantai, Shandong 264025, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0510-6184","authenticated-orcid":true,"given":"Sitao","family":"Ling","sequence":"additional","affiliation":[{"name":"State Key Laboratory for Geomechanics and Deep Underground Engineering, Department of Mathematics, China University of Mining and Technology, Xuzhou, Jiangsu 221116, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"year":"1985","key":"1"},{"year":"1990","key":"2"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1016\/0024-3795(88)90324-2"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1088\/0305-4470\/39\/29\/014"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.55.783"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1007\/BF01211069"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevD.37.3654"},{"year":"1994","key":"9"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.40.4209"},{"key":"11","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.46.3671"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.1016\/0378-4363(88)90143-X"},{"key":"13","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.42.683"},{"key":"14","first-page":"157","volume":"16","year":"2003","journal-title":"High Energy Phys.Theory"},{"key":"15","doi-asserted-by":"publisher","DOI":"10.1143\/PTP.96.247"},{"key":"16","doi-asserted-by":"publisher","DOI":"10.1088\/0305-4470\/33\/15\/306"},{"key":"17","doi-asserted-by":"publisher","DOI":"10.1063\/1.1511789"},{"key":"18","doi-asserted-by":"publisher","DOI":"10.1016\/S0024-3795(01)00266-X"},{"key":"19","doi-asserted-by":"publisher","DOI":"10.1007\/s00006-013-0379-3"},{"year":"1985","key":"20"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/795203.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/795203.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/795203.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,4,25]],"date-time":"2017-04-25T04:09:16Z","timestamp":1493093356000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/jam\/2014\/795203\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014]]},"references-count":19,"alternative-id":["795203","795203"],"URL":"https:\/\/doi.org\/10.1155\/2014\/795203","relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"type":"print","value":"1110-757X"},{"type":"electronic","value":"1687-0042"}],"subject":[],"published":{"date-parts":[[2014]]}}}