Extremal Inverse Eigenvalue Problem for a Special Kind of Matrices
We consider the following inverse eigenvalue problem: to construct a special kind of matrix (real symmetric doubly arrow matrix) from the minimal and maximal eigenvalues of all its leading principal submatrices. The necessary and sufficient condition for the solvability of the problem is derived. Ou...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/513513 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832560944507518976 |
|---|---|
| author | Zhibing Liu Yeying Xu Kanmin Wang Chengfeng Xu |
| author_facet | Zhibing Liu Yeying Xu Kanmin Wang Chengfeng Xu |
| author_sort | Zhibing Liu |
| collection | DOAJ |
| description | We consider the following inverse eigenvalue problem: to construct a special kind of matrix (real symmetric doubly arrow matrix) from the minimal and maximal eigenvalues of all its leading principal submatrices. The necessary and sufficient condition for the solvability of the problem is derived. Our results are constructive and they generate algorithmic procedures to construct such matrices. |
| format | Article |
| id | doaj-art-5a64f4a64a19468e919fd59894c1f315 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-5a64f4a64a19468e919fd59894c1f3152025-02-03T01:26:18ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/513513513513Extremal Inverse Eigenvalue Problem for a Special Kind of MatricesZhibing Liu0Yeying Xu1Kanmin Wang2Chengfeng Xu3School of Sciences, Jiujiang University, Jiujiang 332005, ChinaFaculty of Library, Jiujiang University, Jiujiang 332005, ChinaSchool of Sciences, Jiujiang University, Jiujiang 332005, ChinaSchool of Sciences, Jiujiang University, Jiujiang 332005, ChinaWe consider the following inverse eigenvalue problem: to construct a special kind of matrix (real symmetric doubly arrow matrix) from the minimal and maximal eigenvalues of all its leading principal submatrices. The necessary and sufficient condition for the solvability of the problem is derived. Our results are constructive and they generate algorithmic procedures to construct such matrices.http://dx.doi.org/10.1155/2014/513513 |
| spellingShingle | Zhibing Liu Yeying Xu Kanmin Wang Chengfeng Xu Extremal Inverse Eigenvalue Problem for a Special Kind of Matrices Journal of Applied Mathematics |
| title | Extremal Inverse Eigenvalue Problem for a Special Kind of Matrices |
| title_full | Extremal Inverse Eigenvalue Problem for a Special Kind of Matrices |
| title_fullStr | Extremal Inverse Eigenvalue Problem for a Special Kind of Matrices |
| title_full_unstemmed | Extremal Inverse Eigenvalue Problem for a Special Kind of Matrices |
| title_short | Extremal Inverse Eigenvalue Problem for a Special Kind of Matrices |
| title_sort | extremal inverse eigenvalue problem for a special kind of matrices |
| url | http://dx.doi.org/10.1155/2014/513513 |
| work_keys_str_mv | AT zhibingliu extremalinverseeigenvalueproblemforaspecialkindofmatrices AT yeyingxu extremalinverseeigenvalueproblemforaspecialkindofmatrices AT kanminwang extremalinverseeigenvalueproblemforaspecialkindofmatrices AT chengfengxu extremalinverseeigenvalueproblemforaspecialkindofmatrices |