Some properties for the existence of a positive definite solution of matrix equation X+A★X−2mA=I

摘要

In this paper, we consider the problem of when the equation X+A★X−2mA=I has a positive definite solution. An effective iterative procedure is presented for computing of a positive definite solution of this equation. Some properties of necessary and sufficient conditions for existence of a positive definite solutions are derived. Numerical results for a number of special cases are given.