On Determination of a Finite Jacobi Matrix From Two Spectra
| dc.contributor.author | Guseinov, Gusein Sh | |
| dc.contributor.other | Mathematics | |
| dc.contributor.other | Mathematics | |
| dc.contributor.other | 02. School of Arts and Sciences | |
| dc.contributor.other | 01. Atılım University | |
| dc.date.accessioned | 2024-10-06T10:56:41Z | |
| dc.date.available | 2024-10-06T10:56:41Z | |
| dc.date.issued | 2012 | |
| dc.description.abstract | In this work we study the inverse spectral problem for two spectra of finite order real Jacobi matrices (tri-diagonal 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 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 procedure of reconstruction of the matrix from the two spectra is given. | en_US |
| dc.identifier.issn | 1526-1492 | |
| dc.identifier.scopus | 2-s2.0-84862665017 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14411/8601 | |
| 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.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Jacobi matrix | en_US |
| dc.subject | eigenvalue | en_US |
| dc.subject | normalizing numbers | en_US |
| dc.subject | inverse spectral problem | en_US |
| dc.title | On Determination of a Finite Jacobi Matrix From Two Spectra | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.institutional | Hüseyin, Hüseyin Şirin | |
| gdc.author.institutional | Hüseyin, Hüseyin Şirin | |
| gdc.author.scopusid | 25026129500 | |
| gdc.coar.access | metadata only access | |
| gdc.coar.type | text::journal::journal article | |
| gdc.description.department | Atılım University | en_US |
| gdc.description.departmenttemp | Atilim Univ, Dept Math, TR-06836 Ankara, Turkey | en_US |
| gdc.description.endpage | 421 | en_US |
| gdc.description.issue | 5 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q3 | |
| gdc.description.startpage | 405 | en_US |
| gdc.description.volume | 84 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q2 | |
| gdc.identifier.wos | WOS:000305925900001 | |
| gdc.scopus.citedcount | 1 | |
| gdc.wos.citedcount | 1 | |
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