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, 1-14

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 over the quaternion skew field within the framework of the theory of noncommutative column-row determinants.

Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:5926832

DOI: 10.1155/2019/5926832

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