JP Journal of Algebra, Number Theory and Applications
Volume 46, Issue 2, Pages 181 - 193
(May 2020) http://dx.doi.org/10.17654/NT046020181 |
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-SKEW-HERMITIAN SOLUTION TO A SYSTEM OF TENSOR EQUATIONS OVER THE QUATERNION ALGEBRA
Simo Kang, Tianli Xu and Hao Ye
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Abstract: We present necessary and sufficient conditions for the existence of the general f-skew-Hermitian solution to a system of tensor equations over the quaternion algebra, and give an expression of the general f-skew-Hermitian solution to this system when it is solvable. Moreover, we give a numerical example to illustrate the results of this paper. |
Keywords and phrases: quaternion, tensor equation, Moore-Penrose inverse, -skew-Hermitian.
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