Positive definite solution of the matrix equation .
Guozhu Yao, Anping Liao, Xuefeng Duan · 2010
Abstract. We consider the nonlinear matrix equation X = Q+A H (I⊗X−C) −δ A (0 C. Two bounds for the solution of the equation are derived. This equation is related to an interpolation problem when δ = 1. Some known results in interpolation theory are improved and extended. Key words. Nonlinear matrix equation, Positive definite solution, Interpolation theory. AMS subject classifications. 15A24, 65H05. 1. Introduction. We