A Numerical Method for Determining the Eigenvalues and Eigenvectors of Hermitian Matrices in The Real Operation

Many practical problems in mathematics, quantum mechanics and engineering lead to the eigenvalue problem of a Hermitian matrix. On the basis of [2], a new numerical method for finding all the eigenvalues and eigenvectors of Hermitian matrix is presented in this paper by means of the properties of its characteristic equation and determinant and Newton method of finding non-linear equations. This method has the advantage of keeping away from the complex operations and having good effect in computing the solution of the eigenproblem of Hermitian matrix.