@Article{JCM-25-5, author = {}, title = {An Inverse Eigenvalue Problem for Jacobi Matrices}, journal = {Journal of Computational Mathematics}, year = {2007}, volume = {25}, number = {5}, pages = {620--630}, abstract = {
In this paper, we discuss an inverse eigenvalue problem for constructing a $2n\times 2n$ Jacobi matrix $T$ such that its $2n$ eigenvalues are given distinct real values and its leading principal submatrix of order $n$ is a given Jacobi matrix. A new sufficient and necessary condition for the solvability of the above problem is given in this paper. Furthermore, we present a new algorithm and give some numerical results.
}, issn = {1991-7139}, doi = {https://doi.org/2007-JCM-8717}, url = {https://global-sci.com/article/85035/an-inverse-eigenvalue-problem-for-jacobi-matrices} }