Name
Abstract | ||
|---|---|---|
We consider an inverse eigenvalue problem for constructing an n x n Jacobi matrix J(n) under the circumstance that its all eigenvalues, except for one and a part of the matrix Jn are given. To be precise, the known partial data of J(n) means either its leading principal submatrix J([(n+1)/2]) when n is odd, or the submatrix J([(n+1)/2]) together with the [(n + 1)/2] x (n/2 + 1) codiagonal element when n is even. The necessary and sufficient conditions for the solvability of the problem is derived, also the numerical algorithm and a numerical example are provided. (C) 2022 Elsevier Ltd. All rights reserved. |
Year | DOI | Venue |
|---|---|---|
2022 | 10.1016/j.aml.2022.108282 | APPLIED MATHEMATICS LETTERS |
Keywords | DocType | Volume |
Jacobi matrix, Eigenvalue, Inverse eigenvalue problem | Journal | 133 |
ISSN | Citations | PageRank |
0893-9659 | 0 | 0.34 |
References | Authors | |
0 | 3 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Bin He | 1 | 852 | 110.09 |
| Min Wang | 2 | 76 | 27.77 |
| Guangsheng Wei | 3 | 0 | 0.34 |