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The proposed methods use tensor computations with no maricizations involved. Also, some properties of the new methods are presented. Finally, several numerical examples are given to compare the efficiency and performance of the proposed methods with some existing algorithms.<\/jats:p>","DOI":"10.1177\/0142331220932385","type":"journal-article","created":{"date-parts":[[2020,7,14]],"date-time":"2020-07-14T05:31:48Z","timestamp":1594704708000},"page":"519-527","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":15,"title":["Extended conjugate gradient squared and conjugate residual squared methods for solving the generalized coupled Sylvester tensor equations"],"prefix":"10.1177","volume":"43","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-1106-4451","authenticated-orcid":false,"given":"Eisa","family":"Khosravi Dehdezi","sequence":"first","affiliation":[{"name":"Department of Mathematics, Persian Gulf University, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3797-2263","authenticated-orcid":false,"given":"Saeed","family":"Karimi","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Persian Gulf University, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2020,7,14]]},"reference":[{"key":"bibr1-0142331220932385","doi-asserted-by":"publisher","DOI":"10.1137\/S0895479801395458"},{"issue":"2","key":"bibr2-0142331220932385","first-page":"115","volume":"2","author":"Beik FPA","year":"2015","journal-title":"Journal of Mathematical Modeling"},{"key":"bibr3-0142331220932385","doi-asserted-by":"publisher","DOI":"10.1002\/nla.2033"},{"key":"bibr4-0142331220932385","doi-asserted-by":"publisher","DOI":"10.1137\/100804577"},{"issue":"3","key":"bibr5-0142331220932385","first-page":"1","volume":"2012","author":"Chen D","year":"2012","journal-title":"Journal of Applied Mathematics"},{"key":"bibr6-0142331220932385","doi-asserted-by":"publisher","DOI":"10.1007\/s11425-012-4363-5"},{"key":"bibr7-0142331220932385","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2005.852558"},{"key":"bibr8-0142331220932385","doi-asserted-by":"publisher","DOI":"10.1016\/j.sysconle.2004.06.008"},{"key":"bibr9-0142331220932385","doi-asserted-by":"publisher","DOI":"10.1007\/s00607-003-0037-z"},{"key":"bibr10-0142331220932385","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.1979.1102170"},{"key":"bibr11-0142331220932385","doi-asserted-by":"publisher","DOI":"10.1109\/9.29404"},{"key":"bibr12-0142331220932385","doi-asserted-by":"publisher","DOI":"10.1177\/0142331217702711"},{"key":"bibr13-0142331220932385","first-page":"2006","author":"Kolda TG","year":"2006","journal-title":"Tech. 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