Name
Abstract | ||
|---|---|---|
Some inverse eigenvalue problems for matrices with Toeplitz-related structure are considered in this paper. In particular, the solutions of the inverse eigenvalue problems for Toeplitz-plus-Hankel matrices and for Toeplitz matrices having all double eigenvalues are characterized, respectively, in close form. Being centrosymmetric itself, the Toeplitz-plus-Hankel solution can be used as an initial value in a continuation method to solve the more difficult inverse eigenvalue problem for symmetric Toeplitz matrices. Numerical testing results show a clear advantage of such an application. |
Year | DOI | Venue |
|---|---|---|
2004 | 10.1137/S0895479803430680 | SIAM J. Matrix Analysis Applications |
Keywords | Field | DocType |
toeplitz-related structure,toeplitz-plus-hankel solution,difficult inverse eigenvalue problem,toeplitz-plus-hankel matrix,double eigenvalues,symmetric toeplitz matrix,clear advantage,inverse eigenvalue problem,inverse eigenvalue problems,close form,continuation method,eigenvalues,toeplitz matrix,discrete cosine transform | Eigenvalue perturbation,Matrix (mathematics),Mathematical analysis,Cayley transform,Toeplitz matrix,Inverse problem,Divide-and-conquer eigenvalue algorithm,Eigenvalues and eigenvectors,Mathematics,Inverse iteration | Journal |
Volume | Issue | ISSN |
26 | 1 | 0895-4798 |
Citations | PageRank | References |
5 | 0.83 | 3 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Fasma Diele | 1 | 30 | 4.51 |
| T. Laudadio | 2 | 7 | 3.36 |
| Nicola Mastronardi | 3 | 153 | 29.66 |