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In this work, we aim to design the Hestenes-Stiefel (HS) version of biconjugate residual (Bi-CR) algorithm for computing the (least Frobenius norm) partially doubly symmetric solution [Formula: see text] of the general Sylvester matrix equations [Formula: see text] for [Formula: see text]. We show that the proposed algorithm converges in a finite number of iterations. Finally, numerical results compare the proposed algorithm to alternative algorithms. <\/jats:p>","DOI":"10.1177\/0142331219875273","type":"journal-article","created":{"date-parts":[[2019,10,1]],"date-time":"2019-10-01T02:15:46Z","timestamp":1569896146000},"page":"503-517","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":3,"title":["Partially doubly symmetric solutions of general Sylvester matrix equations"],"prefix":"10.1177","volume":"42","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-5549-9270","authenticated-orcid":false,"given":"Masoud","family":"Hajarian","sequence":"first","affiliation":[{"name":"Department of Mathematics, Faculty of Mathematical Sciences, Shahid Beheshti University, 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