中文摘要：

is gained by deleting the k^th row and the k^th column （k=1,2,...,n） from T_n.We put for-ward an inverse eigenvalue problem to be that:If we don’t know the matrix T_1,n,but weknow all eigenvalues of matrix T_1,k-1,all eigenvalues of matrix T_k+1,k,and all eigenvaluesof matrix T_1,n could we construct the matrix T_1,n.Let μ₁,μ₂,…,μ_k-1,μ_k,μ_k+1,…,μ_n-1,