On the Hermite Positive Definite Solution of the Matrix Equation X + A∗ (Im⊗X-C)-tA=Q
Yan Feng, Luping Xu, Minghui Wang · Journal of Advances in Applied Mathematics · 2017
The nonlinear matrix equation ( )A sufficient and necessary condition for Hermite positive definite (HPD) solutions of this equation is presented by using properties of the Kronecker product.Two iterative methods for solving the equation are constructed by making use of the principle of the bounded sequence.The feasibility and effectiveness of the iterative methods are verified by numerical example.