Inverse Spectral Problems for Tridiagonal N by N Complex Hamiltonians
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Inverse Spectral Problems for Tridiagonal N by N Complex Hamiltonians
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| Creator |
Guseinov, G.Sh.
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| 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.
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| Date |
2019-02-19T19:14:32Z
2019-02-19T19:14:32Z 2009 |
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| Type |
Article
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| Identifier |
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 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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