Solvability of the matrix inequality
Mehdi Vosough, Mohammad Sal Moslehian · Linear and Multilinear Algebra · 2017
In this paper, we first investigate the matrix equation in a new fashion, where A, B, C, D and G are arbitrary matrices. Then, we establish some necessary and sufficient conditions for the existence of a solution of , where A, B are arbitrary matrices and C is a Hermitian matrix. In the special case when , we determine the general solution of , where A is an arbitrary matrix and C is a Hermitian matrix.