Inverse Spectral Problem for Finite Jacobi Matrices With Zero Diagonal
| dc.contributor.author | Aydin, Ayhan | |
| dc.contributor.author | Guseinov, Gusein Sh. | |
| dc.contributor.other | Mathematics | |
| dc.contributor.other | 02. School of Arts and Sciences | |
| dc.contributor.other | 01. Atılım University | |
| dc.date.accessioned | 2024-07-05T14:31:56Z | |
| dc.date.available | 2024-07-05T14:31:56Z | |
| dc.date.issued | 2015 | |
| dc.description.abstract | In this study, the necessary and sufficient conditions for solvability of an inverse spectral problem about eigenvalues and normalizing numbers for finite-order real Jacobi matrices with zero diagonal elements are established. Anexplicit procedure of reconstruction of the matrix from the spectral data consisting of the eigenvalues and normalizing numbers is given. Numerical examples and error analysis are provided to demonstrate the solution technique of the inverse problem. The results obtained are used to justify the solving procedure of the finite Langmuir lattice by the method of inverse spectral problem. | en_US |
| dc.identifier.doi | 10.1080/17415977.2014.979170 | |
| dc.identifier.issn | 1741-5977 | |
| dc.identifier.issn | 1741-5985 | |
| dc.identifier.scopus | 2-s2.0-84941424909 | |
| dc.identifier.uri | https://doi.org/10.1080/17415977.2014.979170 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14411/747 | |
| dc.language.iso | en | en_US |
| dc.publisher | Taylor & Francis Ltd | en_US |
| dc.relation.ispartof | Inverse Problems in Science and Engineering | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | zero-diagonal Jacobi matrix | en_US |
| dc.subject | difference equation | en_US |
| dc.subject | spectral data | en_US |
| dc.subject | inverse spectral problem | en_US |
| dc.subject | Langmuir lattice | en_US |
| dc.title | Inverse Spectral Problem for Finite Jacobi Matrices With Zero Diagonal | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.institutional | Aydın, Ayhan | |
| gdc.author.institutional | Hüseyin, Hüseyin Şirin | |
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| gdc.author.wosid | Aydin, Ayhan/AAL-5690-2020 | |
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| gdc.description.department | Atılım University | en_US |
| gdc.description.departmenttemp | [Aydin, Ayhan; Guseinov, Gusein Sh.] Atilim Univ, Dept Math, Ankara, Turkey | en_US |
| gdc.description.endpage | 1282 | en_US |
| gdc.description.issue | 8 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.startpage | 1267 | en_US |
| gdc.description.volume | 23 | en_US |
| gdc.description.wosquality | Q4 | |
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