Nonlinear matrix equations of the Riccati type arising in mathematical modelling and simulation
This article contains some necessary and sufficient conditions for the existence of solutions \(X\in {\mathbb{C}}^{n\times n}\) of the algebraic Riccati equation \(AX+XB+C+XDX=0\) with coefficients belonging to \({\mathbb{C}}^{n\times n}\). All the proofs are rather simple.
scientific article; zbMATH DE number 4202488