University of GuilanJournal of Mathematical Modeling2345-394X10420221201On the solution of parameterized Sylvester matrix equations535553580810.22124/jmm.2022.22153.1950ENMarziehDehghani-MadisehDepartment of Mathematics, Faculty of Mathematical Sciences and Computer, Shahid Chamran University of Ahvaz, Ahvaz, IranJournal Article20220417In this paper, parametric Sylvester matrix equations whose elements are linear functions of interval parameters are considered. In contrast to deterministic problems, when a system of equations is derived from a stochastic model, its coefficients may depend on some parameters and so the parameterized system of equations appears. This work considers the parameterized Sylvester matrix equations and tries to propose some methods containing a direct method and two iterative methods to obtain outer estimations of the solution set.https://jmm.guilan.ac.ir/article_5808_22ca8b390e73ed2c3bf93593a7629eae.pdf