This paper studies some systems of coupled generalized Sylvester matrix equations. We present some necessary and sufficient conditions for the solvability to these systems. We give the expressions ofâ€¦ (More)

In this paper we establish some necessary and sufficient solvability conditions for a system of quaternary coupled Sylvester-type real quaternion matrix equations in terms of ranks and generalizedâ€¦ (More)

Let HmÃ—n be the set of all m Ã— n matrices over the real quaternion algebra H = {c0 + c1i+ c2 j + c3k | i = j = k = i jk = âˆ’1, c0, c1, c2, c3 âˆˆ R}. A âˆˆ HnÃ—n is known to be Î·-Hermitian if A = AÎ·âˆ— =â€¦ (More)