Inverse Spectral Problems for Tridiagonal N by N Complex Hamiltonians
In this paper, the concept of generalized spectral function is introduced for finite-order tridiagonal symmetric matrices (Jacobi matrices) with complex entries. The structure of the generalized spectral function is described in terms of spectral data consisting of the eigenvalues and normalizing nu...
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| Дата: | 2009 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2009
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/149241 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-149241 |
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irk-123456789-1492412019-02-20T01:28:03Z Inverse Spectral Problems for Tridiagonal N by N Complex Hamiltonians Guseinov, G.Sh. In this paper, the concept of generalized spectral function is introduced for finite-order tridiagonal symmetric matrices (Jacobi matrices) with complex entries. The structure of the generalized spectral function is described in terms of spectral data consisting of the eigenvalues and normalizing numbers of the matrix. The inverse problems from generalized spectral function as well as from spectral data are investigated. In this way, a procedure for construction of complex tridiagonal matrices having real eigenvalues is obtained. 2009 Article Inverse Spectral Problems for Tridiagonal N by N Complex Hamiltonians / G.Sh. Guseinov// Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 23 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 15A29; 39A10 http://dspace.nbuv.gov.ua/handle/123456789/149241 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
In this paper, the concept of generalized spectral function is introduced for finite-order tridiagonal symmetric matrices (Jacobi matrices) with complex entries. The structure of the generalized spectral function is described in terms of spectral data consisting of the eigenvalues and normalizing numbers of the matrix. The inverse problems from generalized spectral function as well as from spectral data are investigated. In this way, a procedure for construction of complex tridiagonal matrices having real eigenvalues is obtained. |
| format |
Article |
| author |
Guseinov, G.Sh. |
| spellingShingle |
Guseinov, G.Sh. Inverse Spectral Problems for Tridiagonal N by N Complex Hamiltonians Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Guseinov, G.Sh. |
| author_sort |
Guseinov, G.Sh. |
| title |
Inverse Spectral Problems for Tridiagonal N by N Complex Hamiltonians |
| title_short |
Inverse Spectral Problems for Tridiagonal N by N Complex Hamiltonians |
| title_full |
Inverse Spectral Problems for Tridiagonal N by N Complex Hamiltonians |
| title_fullStr |
Inverse Spectral Problems for Tridiagonal N by N Complex Hamiltonians |
| title_full_unstemmed |
Inverse Spectral Problems for Tridiagonal N by N Complex Hamiltonians |
| title_sort |
inverse spectral problems for tridiagonal n by n complex hamiltonians |
| publisher |
Інститут математики НАН України |
| publishDate |
2009 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/149241 |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT guseinovgsh inversespectralproblemsfortridiagonalnbyncomplexhamiltonians |
| first_indexed |
2023-05-20T17:32:32Z |
| last_indexed |
2023-05-20T17:32:32Z |
| _version_ |
1796153530455687168 |