The Re-nonnegative definite and Re-positive definite solutions to the matrix equation AXB=D

Yongxin Yuan and Kezheng Zuo

Applied Mathematics and Computation, 2015, vol. 256, issue C, 905-912

Abstract: 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.

Keywords: Re-nonnegative definite solution; Re-positive definite solution; Hurwitz stable; Moore–Penrose generalized inverse; Orthogonal projector (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:256:y:2015:i:c:p:905-912

DOI: 10.1016/j.amc.2015.01.098

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