Inverse Eigenvalue Problem of Jacobi Matrices
Qian Cai · Journal of Hefei University · 2008
On the basis of analyzing some inverse problems in the matrix theory,a kind of inverse eigenvalue problem which is the reconstruction of Jacobi matrix by three eigenvalues and eigenvectors is proposed.By using the conditions for the solvability of the linear equation systems,a sufficient and necessary condition for the solvability of the inverse eigenvalue problem and its solving method are obtained.Furthermore one numerical experiment is given.