mth roots of H-selfadjoint matrices over the quaternions

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Dawie B. Janse van Rensburg
André C.M. Ran
Frieda Theron
Madelein van Straaten

Abstract

The complex matrix representation for a quaternion matrix is used in this paper to find necessary and sufficient conditions for the existence of an $H$-selfadjoint $m$th root of a given $H$-selfadjoint quaternion matrix. In the process, when such an $H$-selfadjoint $m$th root exists, its construction is also given.

 

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