Hermitian Solutions to a Quaternion Matrix Equation
2011 ◽
Vol 50-51
◽
pp. 391-395
Keyword(s):
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.
2019 ◽
Vol 2019
◽
pp. 1-8
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2009 ◽
Vol 2009
◽
pp. 1-13
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2010 ◽
Vol 87
(11)
◽
pp. 2542-2551
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