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

Ivan I. Kyrchei

Abstract and Applied Analysis, 2019, vol. 2019, issue 1

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.

Date: 2019
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https://doi.org/10.1155/2019/5926832

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2019:y:2019:i:1:n:5926832

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