Necessary and sufficient conditions for the existence of positive definite solutions of the matrix equationX+ATX−2A=I
Mohamed A. Ramadan · International Journal of Computer Mathematics · 2005
Necessary and sufficient conditions for the matrix equation X+A T X −2 A=I to have a real symmetric positive definite solution X are derived. Based on these conditions, some properties of the matrix A as well as relations between the solution X and A are derived.