JP Journal of Algebra, Number Theory and Applications
Volume 43, Issue 1, Pages 53 - 60
(July 2019) http://dx.doi.org/10.17654/NT043010053 |
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A QUATERNION TENSOR EQUATION INVOLVING η-HERMICITY
Huihui Wang
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Abstract: In this paper, we consider the following quaternion tensor equation involving η-Hermicity where and are given quaternion tensors. We derive some necessary and sufficient conditions for the existence of an h-Hermitian solution to this quaternion tensor equation in terms of the Moore-Penrose inverses of the coefficient tensors. We also give an expression of the general h‑Hermitian solution to this quaternion tensor equation when it is solvable. A numerical example is also presented to illustrate the main result of this paper. |
Keywords and phrases: quaternion, tensor equation, Moore-Penrose inverse, η-Hermitian solution.
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