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The matrix-vector form of the equation is considered to present convergence properties of the TGHSS method. Some numerical examples are given to show the effectiveness and accuracy of the method. Comparison with other methods is also included.<\/jats:p>","DOI":"10.1177\/0142331216656759","type":"journal-article","created":{"date-parts":[[2016,7,20]],"date-time":"2016-07-20T20:52:07Z","timestamp":1469047927000},"page":"303-317","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":3,"title":["A new generalization of the Hermitian and skew-Hermitian splitting method for solving the continuous Sylvester equation"],"prefix":"10.1177","volume":"40","author":[{"given":"Davod","family":"Khojasteh Salkuyeh","sequence":"first","affiliation":[{"name":"Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Mehdi","family":"Bastani","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Mathematical Sciences, University of Mohaghegh Ardabili, Ardabil, 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