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2019 Determinantal Representations of General and (Skew-)Hermitian Solutions to the Generalized Sylvester-Type Quaternion Matrix Equation
Ivan I. Kyrchei
Abstr. Appl. Anal. 2019: 1-14 (2019). DOI: 10.1155/2019/5926832

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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Ivan I. Kyrchei. "Determinantal Representations of General and (Skew-)Hermitian Solutions to the Generalized Sylvester-Type Quaternion Matrix Equation." Abstr. Appl. Anal. 2019 1 - 14, 2019. https://doi.org/10.1155/2019/5926832

Information

Received: 30 June 2018; Accepted: 18 December 2018; Published: 2019
First available in Project Euclid: 26 February 2019

zbMATH: 07054490
MathSciNet: MR3901847
Digital Object Identifier: 10.1155/2019/5926832

Rights: Copyright © 2019 Hindawi

Vol.2019 • 2019
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