The Iterative Algorithm For The Hermite Solution To A Class Of Matrix Equations

It is that the solutions of hermite to matrix equations has widely applied in structural system.And in my paper we will solve the solutions of hermite about matrix equation AXB= F by using the hierarchical identification principe at first,and then we will solve the solutions of hermite about coulied matrix equation .And my paper mainly contains three chapters:In chapter one, at beginning of this paper we will introduce the development of matrix equations and iterative solutions of matrix equations and the related concepts and basic properties of the complex matrix. then,we will continue to stat some basic symbols and definitions which are given in the paper.In chapter two, the iterative solution to the matrix equation AXB= F will be given first, then the iterative solution of the hierarchical identification will be proved to converge to its unique solution. And at ending of the chapter it is to illustrate the effectiveness of the proposed algorithm with numerical examples that will be given.In chapter three, To discussing the iterative solution to matrix equation Fi with the hierarchical iden-tification principe, and the iterative solution will be proved to converge to the unique solution. At last,we will give an example to illustrate the effectiveness of the algorithm.