Abstract
In this paper, we discuss an inverse eigenvalue problem for constructing a 2n × 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.
| Original language | English |
|---|---|
| Pages (from-to) | 620-630 |
| Number of pages | 11 |
| Journal | Journal of Computational Mathematics |
| Volume | 25 |
| Issue number | 5 |
| Publication status | Published - Sept 2007 |
| Externally published | Yes |
Keywords
- Eigenvalue problem
- Inverse eigenvalue problem
- Jacobi matrix
- Symmetric tridiagonal matrix