Inverse Eigenvalue Problem for Persymmetric Tridiagonal Matrix

In this paper,a kind of inverse eigenvalue problem which is the reconstuction of persymmetric tridiagonal matrix by two eigenvalues and corresponding eigenvectors is proposed.Integrated with the sub-orthogonal of the eigenvectors which belonged to the different eigenvalues,the solvability of the problem is discussed and some sufficient and necessary conditions of solution are given.Furthermore,numerical algorithm and the example are given.