It is known that using Kronecker product and Vec-operation for solving matrix equations under fuzzy uncertainty, make the dimension of the crisp transformed systems much higher than the dimension of the initial fuzzy matrix equation. In this paper, a new iterative approach is proposed for solving Sylvester type of fuzzy matrix equations without using Kronecker product and Vec-operation. Based on the proposed method, a fuzzy Sylvester matrix equation is transformed to two corresponding crisp equations and then homotopy analysis method (HAM) is applied for obtaining a fuzzy approximate solution of the original equation. The convergence of the proposed method is showed by presenting two conditions. Finally, to show the ability and efficiency of the proposed method three numerical examples are given.
Ghanbari, M. (2026). On the solution of fuzzy Sylvester matrix equations without using Kronecker product and Vec-operation. Caspian Journal of Mathematical Sciences, 15(2), 345-373. doi: 10.22080/cjms.2026.30934.1798
MLA
Mojtaba Ghanbari. "On the solution of fuzzy Sylvester matrix equations without using Kronecker product and Vec-operation", Caspian Journal of Mathematical Sciences, 15, 2, 2026, 345-373. doi: 10.22080/cjms.2026.30934.1798
HARVARD
Ghanbari, M. (2026). 'On the solution of fuzzy Sylvester matrix equations without using Kronecker product and Vec-operation', Caspian Journal of Mathematical Sciences, 15(2), pp. 345-373. doi: 10.22080/cjms.2026.30934.1798
CHICAGO
M. Ghanbari, "On the solution of fuzzy Sylvester matrix equations without using Kronecker product and Vec-operation," Caspian Journal of Mathematical Sciences, 15 2 (2026): 345-373, doi: 10.22080/cjms.2026.30934.1798
VANCOUVER
Ghanbari, M. On the solution of fuzzy Sylvester matrix equations without using Kronecker product and Vec-operation. Caspian Journal of Mathematical Sciences, 2026; 15(2): 345-373. doi: 10.22080/cjms.2026.30934.1798
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