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Determinantal Representations of General and (Skew-)Hermitian Solutions to the Generalized Sylvester-Type Quaternion Matrix Equation

Abstract and Applied Analysis (2019) 2019
DOI: 10.1155/2019/5926832
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Abstract

In this paper, we derive explicit determinantal representation formulas of general, Hermitian, and skew-Hermitian solutions to the generalized Sylvester matrix equation involving ∗-Hermicity AXA∗ + BYB∗ = C over the quaternion skew field within the framework of the theory of noncommutative column-row determinants.

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Kyrchei, I. I. (2019). Determinantal Representations of General and (Skew-)Hermitian Solutions to the Generalized Sylvester-Type Quaternion Matrix Equation. Abstract and Applied Analysis, 2019. https://doi.org/10.1155/2019/5926832

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