On an inverse problem for two spectra of finite Jacobi matrices
| dc.authorscopusid | 25026129500 | |
| dc.contributor.author | Hüseyin, Hüseyin Şirin | |
| dc.contributor.other | Mathematics | |
| dc.date.accessioned | 2024-07-05T15:10:56Z | |
| dc.date.available | 2024-07-05T15:10:56Z | |
| dc.date.issued | 2012 | |
| dc.department | Atılım University | en_US |
| dc.department-temp | Atilim Univ, Dept Math, TR-06836 Ankara, Turkey | en_US |
| dc.description.abstract | We solve a version of the inverse spectral problem for two spectra of finite order real Jacobi matrices. The problem is to reconstruct the matrix using two sets of eigenvalues, one for the original Jacobi matrix and one for the matrix obtained by replacing the last diagonal element of the Jacobi matrix by some another number. The uniqueness and existence results for solution of the inverse problem are established and an explicit procedure of reconstruction of the matrix from the two spectra is given. (C) 2012 Elsevier Inc. All rights reserved. | en_US |
| dc.identifier.citation | 8 | |
| dc.identifier.doi | 10.1016/j.amc.2012.01.024 | |
| dc.identifier.endpage | 7589 | en_US |
| dc.identifier.issn | 0096-3003 | |
| dc.identifier.issue | 14 | en_US |
| dc.identifier.scopus | 2-s2.0-84857446634 | |
| dc.identifier.startpage | 7573 | en_US |
| dc.identifier.uri | https://doi.org/10.1016/j.amc.2012.01.024 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14411/1369 | |
| dc.identifier.volume | 218 | en_US |
| dc.identifier.wos | WOS:000300783300022 | |
| dc.identifier.wosquality | Q1 | |
| dc.institutionauthor | Guseinov, Gusein Sh. | |
| dc.language.iso | en | en_US |
| dc.publisher | Elsevier Science inc | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Jacobi matrix | en_US |
| dc.subject | Difference equation | en_US |
| dc.subject | Spectrum | en_US |
| dc.subject | Normalizing number | en_US |
| dc.subject | Inverse problem | en_US |
| dc.title | On an inverse problem for two spectra of finite Jacobi matrices | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
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