Abstract and Applied Analysis

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

Ivan I. Kyrchei

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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.

Article information

Source
Abstr. Appl. Anal., Volume 2019 (2019), Article ID 5926832, 14 pages.

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

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1551150389

Digital Object Identifier
doi:10.1155/2019/5926832

Mathematical Reviews number (MathSciNet)
MR3901847

Zentralblatt MATH identifier
07054490

Citation

Kyrchei, Ivan I. Determinantal Representations of General and (Skew-)Hermitian Solutions to the Generalized Sylvester-Type Quaternion Matrix Equation. Abstr. Appl. Anal. 2019 (2019), Article ID 5926832, 14 pages. doi:10.1155/2019/5926832. https://projecteuclid.org/euclid.aaa/1551150389


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