The Hermitian Positive Definite Solution of Nonlinear Matrix Equations
Guangyuan Zhao · 2009
In this paper, we study the Hermitian positive definite solutions of the nonlinear matrix equation X + A*X-2A = I . Suppose X is a Hermitian positive definite solution of this equation. We discuss the relation between X and A by the eigenvalue and eigenvector of X and A respectively.