The Matrix Equation $AZ + B - ZCZ - ZD = 0$
Hans-Bernhard Meyer · SIAM Journal on Applied Mathematics · 1976
A short treatment is given of quadratic matrix equations, which are important for various applications (see, e.g., the literature cited in [4]). Conditions for solvability are listed and solutions are characterized by generalizing and improving upon certain results of Potter [6] and Kučera [5]. A splitting theorem for solutions is proved.