{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,9,29]],"date-time":"2026-09-29T19:17:57Z","timestamp":1790709477704,"version":"4.1.0"},"reference-count":24,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"2","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Matrix Anal. Appl."],"published-print":{"date-parts":[[2003,1]]},"abstract":"<jats:p>\n                    An efficient method based on the quotient singular value decomposition (QSVD) is used to solve the constrained least squares problem $\\min \\| T-BXA^T\\|_F$ over symmetric, skew-symmetric, and positive semidefinite (maybe asymmetrical) X. The general expression of the solution is given and some necessary and sufficient conditions are derived about the solvability of the matrix equation BXA\n                    <jats:sup>T<\/jats:sup>\n                    =T. In each case, an algorithm is given for the unique solution when B and A are of full column rank.\n                  <\/jats:p>","DOI":"10.1137\/s0895479802402491","type":"journal-article","created":{"date-parts":[[2003,10,11]],"date-time":"2003-10-11T19:55:33Z","timestamp":1065902133000},"page":"486-494","source":"Crossref","is-referenced-by-count":22,"title":["Least Squares Solution of\n                    <i>\n                      BXA\n                      <sup>T<\/sup>\n                    <\/i>\n                    =\n                    <i>T<\/i>\n                    over Symmetric, Skew-Symmetric, and Positive Semidefinite\n                    <i>X<\/i>"],"prefix":"10.1137","volume":"25","author":[{"given":"Yuan-Bei","family":"Deng","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Xi-Yan","family":"Hu","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Lei","family":"Zhang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2006,7,31]]},"reference":[{"key":"R1","doi-asserted-by":"publisher","DOI":"10.1137\/0326032"},{"key":"R2","doi-asserted-by":"publisher","DOI":"10.1137\/0328013"},{"key":"R3","doi-asserted-by":"publisher","DOI":"10.1137\/S0895479894277545"},{"key":"R4","volume-title":"Generalized inverses: theory and applications","author":"Ben\u2010Israel Adi","year":"1974"},{"key":"R5","doi-asserted-by":"publisher","DOI":"10.1016\/0024-3795(89)90067-0"},{"key":"R6","doi-asserted-by":"publisher","DOI":"10.1016\/S0024-3795(00)00072-0"},{"key":"R7","doi-asserted-by":"publisher","DOI":"10.1016\/S0024-3795(87)90308-9"},{"key":"R8","doi-asserted-by":"publisher","DOI":"10.1002\/(SICI)1099-1506(199611\/12)3:6<459::AID-NLA82>3.0.CO;2-S"},{"key":"R9","doi-asserted-by":"publisher","DOI":"10.1016\/S0898-1221(98)00074-1"},{"key":"R10","doi-asserted-by":"publisher","DOI":"10.1137\/S0895479891222106"},{"key":"R11","first-page":"0","volume":"23","author":"Golub Gene","year":"1969","journal-title":"Math. 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