An iteration method for matrix equation AX = Bin Hermitian Generalized Hamiltonian matrix space

摘要

The iteration solution to matrix equation AX=B constrained by Hermitian Generalized Hamiltonian matrix is discussed. First, the iteration method is constructed by using the structure and characteristic properties of this kind of matrix and Orthogonal projection; Second, its convergence is proved and its convergence rate is derived; In addition, some numerical examples are given to verify the effectiveness of the method.