Let H m×n be the set of all m × n matrices over the real quaternion algebra.We in this paper, present the solvability conditions and the general η-Hermitian solution to a system of linear real quaternion matrix equations. As an application, we give the necessary and sufficient conditions for the systemWe establish an expression of the η-bihermitian to the system when it is solvable. We also obtain a criterion for a quaternion matrix to be η-bihermitian. Moreover, we provide an algorithm and a numerical example to illustrate the theory developed in this paper.
scite is a Brooklyn-based startup that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.