Hermitian Solutions to a Quaternion Matrix Equation

Abstract:

In this paper, we consider Hermitian and skew-Hermitian solutions to a certain matrix equation over quaternion algebra H. Necessary and sufficient conditions are obtained for the quaternion matrix equation to have Hermitian and skew-Hermitian solutions, and the expressions of such solutions are also given. As an application, the common skew-Hermitian g-inverse of quaternion matrix A and B is considered.

• Periodical: Applied Mechanics and Materials (Volumes 50-51)
• Pages: 391-395
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.50-51.391
• Online since: February 2011
• Authors: Ning Li, Jing Jiang, Wen Feng Wang
• Keywords: Hermitian Generalized Inverse, Hermitian Solution, Quaternion Matrix Equation, Skew-Hermitian Solution

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