TY - JOUR
T1 - An Inverse Eigenvalue Problem for Jacobi Matrices
AU - Haixia Liang & Erxiong Jiang
JO - Journal of Computational Mathematics
VL - 5
SP - 620
EP - 630
PY - 2007
DA - 2007/10
SN - 25
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/8717.html
KW - Symmetric tridiagonal matrix, Jacobi matrix, Eigenvalue problem, Inverse
eigenvalue problem.
AB - <p style="text-align: justify;">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.</p>