Generalized bipositive semidefinite solutions to a system of matrix equations
In this paper, a system of complex matrix equations was studied. Necessary and sufficient conditions for the existence and the expression of generalized bipositive semidefinite solution to the system were given. In addition, a criterion for a matrix to be generalized bipositive semidefinite was determined.
generalized bipositive semidefinite matrixreflexive matrixgeneralized inverse of a matrix
俞绍文、王卿文、林春艳
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Department of Mathematics, College of Sciences, Shanghai University, Shanghai 200444, P. R. China
School of Statistics and Sciences, University of Finance of Shandong, Jinan 250014, P. R. China
generalized bipositive semidefinite matrix reflexive matrix generalized inverse of a matrix