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

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  • Ivan I. Kyrchei

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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Handle: RePEc:wly:jnlaaa:v:2019:y:2019:i:1:n:5926832
DOI: 10.1155/2019/5926832
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