Some Properties of the Solution to a System of Quaternion Matrix Equations
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DOI: 10.3390/axioms11120710
Abstract: This paper investigates the properties of the ϕ-skew-Hermitian solution to the system of quaternion matrix equations involving ϕ-skew-Hermicity with four unknowns AiXi(Ai)ϕ+BiXi+1(Bi)ϕ=Ci,(i=1,2,3),A4X4(A4)ϕ=C4. We present the general ϕ-skew-Hermitian solution to this system. Moreover, we derive the… read more here.
Keywords: solution system; system; system quaternion; matrix equations ... See more keywords
The Solvability of a System of Quaternion Matrix Equations Involving ϕ-Skew-Hermicity
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DOI: 10.3390/sym14061273
Abstract: Let H be the real quaternion algebra and Hm×n denote the set of all m×n matrices over H. For A∈Hm×n, we denote by Aϕ the n×m matrix obtained by applying ϕ entrywise to the transposed… read more here.
Keywords: matrix; system quaternion; matrix equations; skew hermicity ... See more keywords