{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,16]],"date-time":"2026-01-16T12:38:45Z","timestamp":1768567125175,"version":"3.49.0"},"reference-count":13,"publisher":"Elsevier BV","issue":"6","license":[{"start":{"date-parts":[[2003,8,1]],"date-time":"2003-08-01T00:00:00Z","timestamp":1059696000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2003,8,1]],"date-time":"2003-08-01T00:00:00Z","timestamp":1059696000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/legal\/tdmrep-license"},{"start":{"date-parts":[[2013,7,17]],"date-time":"2013-07-17T00:00:00Z","timestamp":1374019200000},"content-version":"vor","delay-in-days":3638,"URL":"http:\/\/www.elsevier.com\/open-access\/userlicense\/1.0\/"}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Applied Mathematics Letters"],"published-print":{"date-parts":[[2003,8]]},"DOI":"10.1016\/s0893-9659(03)90012-7","type":"journal-article","created":{"date-parts":[[2003,12,19]],"date-time":"2003-12-19T05:57:50Z","timestamp":1071813470000},"page":"883-888","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":36,"title":["Equality constrained least squares problem over quaternion field"],"prefix":"10.1016","volume":"16","author":[{"given":"Tongsong","family":"Jiang","sequence":"first","affiliation":[]},{"given":"Musheng","family":"Wei","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/S0893-9659(03)90012-7_BIB1","doi-asserted-by":"crossref","first-page":"1340","DOI":"10.1137\/0725076","article-title":"Error analysis and implementation aspects of deferred correction for equality constrained least squares problems","volume":"25","author":"Barlow","year":"1988","journal-title":"SIAM J. Numer. Anal."},{"key":"10.1016\/S0893-9659(03)90012-7_BIB2","doi-asserted-by":"crossref","first-page":"704","DOI":"10.1137\/0909046","article-title":"The direct solution of weighted and equality constrained least squares problems","volume":"9","author":"Barlow","year":"1988","journal-title":"SIAM J. Sci. Statist. Comput."},{"key":"10.1016\/S0893-9659(03)90012-7_BIB3","doi-asserted-by":"crossref","first-page":"181","DOI":"10.1016\/S0024-3795(97)00332-7","article-title":"New perturbation results for equality-constrained least squares problems","volume":"272","author":"Ding","year":"1988","journal-title":"Linear Algebra Appl."},{"key":"10.1016\/S0893-9659(03)90012-7_BIB4","doi-asserted-by":"crossref","first-page":"631","DOI":"10.1006\/jmaa.1998.6190","article-title":"Perturbation bounds for least squares problem with equality constraints","volume":"229","author":"Ding","year":"1999","journal-title":"J. Math. Anal. Appl."},{"key":"10.1016\/S0893-9659(03)90012-7_BIB5","doi-asserted-by":"crossref","first-page":"487","DOI":"10.1007\/BF01934412","article-title":"A weighted pseudoinverse, generalized singular values, and constrained least square problems","volume":"22","author":"Elden","year":"1982","journal-title":"BIT"},{"key":"10.1016\/S0893-9659(03)90012-7_BIB6","doi-asserted-by":"crossref","first-page":"134","DOI":"10.1007\/BF01932285","article-title":"Algorithms for the regularization of ill-conditioned least squares problem","volume":"17","author":"Elden","year":"1977","journal-title":"BIT"},{"key":"10.1016\/S0893-9659(03)90012-7_BIB7","doi-asserted-by":"crossref","first-page":"27","DOI":"10.1016\/0024-3795(92)90003-S","article-title":"Algebraic properties of the rank-deficient equality constrained and weighted least squares problem","volume":"161","author":"Wei","year":"1992","journal-title":"Linear Algebra Appl."},{"key":"10.1016\/S0893-9659(03)90012-7_BIB8","doi-asserted-by":"crossref","first-page":"1462","DOI":"10.1137\/0729084","article-title":"Perturbation theory for the rank-deficient equality constrained least squares problem","volume":"29","author":"Wei","year":"1992","journal-title":"SIAM J. Numer. Anal."},{"key":"10.1016\/S0893-9659(03)90012-7_BIB9","series-title":"Matrix Computations","author":"Golub","year":"1989"},{"key":"10.1016\/S0893-9659(03)90012-7_BIB10","series-title":"Quaternionic Quantum Mechanics and Quantum Fields","author":"Adler","year":"1994"},{"key":"10.1016\/S0893-9659(03)90012-7_BIB11","first-page":"3207","article-title":"Foundations of quaternion quantum mechanics","author":"Finkelstein","year":"1962","journal-title":"J. Math. Phys."},{"key":"10.1016\/S0893-9659(03)90012-7_BIB12","first-page":"8","article-title":"A new method of performing digital control system computation using quaternion","volume":"11","author":"Ickes","year":"1970","journal-title":"AIAA Journal"},{"key":"10.1016\/S0893-9659(03)90012-7_BIB13","doi-asserted-by":"crossref","first-page":"191","DOI":"10.4153\/CJM-1955-024-x","article-title":"Some theorems on matrices with real quaternion elements","volume":"7","author":"Wiegmann","year":"1955","journal-title":"Canad. J. Math."}],"container-title":["Applied Mathematics Letters"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0893965903900127?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0893965903900127?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T03:09:02Z","timestamp":1760238542000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0893965903900127"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2003,8]]},"references-count":13,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2003,8]]}},"alternative-id":["S0893965903900127"],"URL":"https:\/\/doi.org\/10.1016\/s0893-9659(03)90012-7","relation":{},"ISSN":["0893-9659"],"issn-type":[{"value":"0893-9659","type":"print"}],"subject":[],"published":{"date-parts":[[2003,8]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"Equality constrained least squares problem over quaternion field","name":"articletitle","label":"Article Title"},{"value":"Applied Mathematics Letters","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/S0893-9659(03)90012-7","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"converted-article","name":"content_type","label":"Content Type"},{"value":"Copyright \u00a9 2003 Published by Elsevier Ltd.","name":"copyright","label":"Copyright"}]}}