NUMERICAL SOLUTION OF DUAL FUZZY SYLVESTER MATRIX EQUATIONS BY AN ITERATION METHOD
Küçük Resim Yok
Tarih
2023
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Ministry Communications & High Technologies Republic Azerbaijan
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, dual fuzzy Sylvester matrix equations are studied for the first time. Two general approaches are presented to solve these equations. In the first approach, a dual fuzzy Sylvester matrix equation is transformed into a numeric linear system by Vec-operation and Kronecker product, where the dimension of the obtained system is much larger than the di-mension of original equation. In this reason, this method is not feasible for numerical solving of a dual fuzzy Sylvester matrix equation of a large dimension. In the second proposed approach, a dual fuzzy Sylvester matrix equation is transformed into two numeric Sylvester matrix equa-tions of the same dimensionality of the original problem. In the next step, a new iteration method is applied for solving the obtained numeric equations without using Vec-operation and Kronecker product. Finally, the efficiency and ability of the proposed method is illustrated by two numerical examples.
Açıklama
Anahtar Kelimeler
Dual Fuzzy Sylvester Matrix Equation, Kronecker Product, Vec-Operation, Fuzzy Number, Homotopy Analysis Method
Kaynak
Applied and Computational Mathematics
WoS Q Değeri
N/A
Scopus Q Değeri
Q1
Cilt
22
Sayı
4
