The Hermitian-Reflexive Semi-definite Solutions of Matrix Equations
Wang Jiang-tao, Liu Neng-dong · Journal of Dongguan University of Technology · 2010
By using the properties of Hermitian-Reflexive Semi-definite Matrices,this paper investigates the necessary and sufficient conditions for the solvability of the linear matrix equation in Herimitian-Reflexive Semi-definite Matrix set,and presents a general expression of the solution for the problem.Finally,for any given complex matrix,the representation of its unique optimal approximation is derived.