An Inverse Problem for Two Spectra of Complex Finite Jacobi Matrices
| dc.authorscopusid | 25026129500 | |
| dc.contributor.author | Guseinov, Gusein Sh. | |
| dc.contributor.other | Mathematics | |
| dc.contributor.other | Mathematics | |
| dc.date.accessioned | 2024-10-06T10:57:05Z | |
| dc.date.available | 2024-10-06T10:57:05Z | |
| 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 | This paper deals with the inverse spectral problem for two spectra of finite order complex Jacobi matrices (tri-diagonal symmetric matrices with complex entries). 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 first 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 algorithm of reconstruction of the matrix from the two spectra is given. | en_US |
| dc.description.woscitationindex | Science Citation Index Expanded | |
| dc.identifier.citationcount | 1 | |
| dc.identifier.endpage | 319 | en_US |
| dc.identifier.issn | 1526-1492 | |
| dc.identifier.issue | 4 | en_US |
| dc.identifier.scopus | 2-s2.0-84869790776 | |
| dc.identifier.scopusquality | Q3 | |
| dc.identifier.startpage | 301 | en_US |
| dc.identifier.uri | https://hdl.handle.net/20.500.14411/8670 | |
| dc.identifier.volume | 86 | en_US |
| dc.identifier.wos | WOS:000311247000002 | |
| dc.identifier.wosquality | Q2 | |
| dc.institutionauthor | Hüseyin, Hüseyin Şirin | |
| dc.institutionauthor | Hüseyin, Hüseyin Şirin | |
| dc.language.iso | en | en_US |
| dc.publisher | Tech Science Press | en_US |
| dc.relation.ispartof | CMES - Computer Modeling in Engineering and Sciences | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.scopus.citedbyCount | 1 | |
| dc.subject | Jacobi matrix | en_US |
| dc.subject | difference equation | en_US |
| dc.subject | eigenvalue | en_US |
| dc.subject | normalizing numbers | en_US |
| dc.subject | inverse spectral problem | en_US |
| dc.title | An Inverse Problem for Two Spectra of Complex Finite Jacobi Matrices | en_US |
| dc.type | Article | en_US |
| dc.wos.citedbyCount | 1 | |
| dspace.entity.type | Publication | |
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