The Re-nonnegative definite and Re-positive definite solutions to the matrix equation AXB = D
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摘要
In this paper the Re-nonnegative definite (Re-nnd) and Re-positive definite (Re-pd) solutions of the matrix equation AXB = D are considered. The necessary and sufficient conditions for the existence of Re-nnd and Re-pd solutions to the equation are provided and the explicit representations of the general Re-nnd and Re-pd solutions are given when it is solvable.
论文关键词：Re-nonnegative definite solution,Re-positive definite solution,Hurwitz stable,Moore–Penrose generalized inverse,Orthogonal projector
论文评审过程：Available online 18 February 2015.
论文官网地址：https://doi.org/10.1016/j.amc.2015.01.098
