Hermite generalized Hamiltonian solutions for matrix equation and its optimal approximation
Zhihong Liu · Journal of Science of Teachers' College and University · 2010
Applying the generalized singular value decomposition of matrices,the necessary and sufficient conditions for the existence and the expression for the Hermite generalized Hamiltonian solutions of the matrix equation AHXA=Bwas derived.In addition,in Hermite generalized Hamiltonian solutions set of the equation,the expressions of the optimal approximation solutions and of the minimum norm solutions to the given matrix was obtained.