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Article: On sufficient and necessary conditions for the Jacobi matrix inverse eigenvalue problem
Title | On sufficient and necessary conditions for the Jacobi matrix inverse eigenvalue problem |
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Authors | |
Issue Date | 2004 |
Citation | Numerische Mathematik, 2004, v. 98, n. 1, p. 167-176 How to Cite? |
Abstract | In this paper, we study the inverse eigenvalue problem of a specially structured Jacobi matrix, which arises from the discretization of the differential equation governing the axial of a rod with varying cross section (Ram and Elhay 1998 Commum. Numer. Methods Engng. 14 597-608). We give a sufficient and some necessary conditions for such inverse eigenvalue problem to have solutions. Based on these results, a simple method for the reconstruction of a Jacobi matrix from eigenvalues is developed. Numerical examples are given to demonstrate our results. |
Persistent Identifier | http://hdl.handle.net/10722/276819 |
ISSN | 2023 Impact Factor: 2.1 2023 SCImago Journal Rankings: 1.855 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Lu, Linzhang | - |
dc.contributor.author | Michael, K. Ng | - |
dc.date.accessioned | 2019-09-18T08:34:45Z | - |
dc.date.available | 2019-09-18T08:34:45Z | - |
dc.date.issued | 2004 | - |
dc.identifier.citation | Numerische Mathematik, 2004, v. 98, n. 1, p. 167-176 | - |
dc.identifier.issn | 0029-599X | - |
dc.identifier.uri | http://hdl.handle.net/10722/276819 | - |
dc.description.abstract | In this paper, we study the inverse eigenvalue problem of a specially structured Jacobi matrix, which arises from the discretization of the differential equation governing the axial of a rod with varying cross section (Ram and Elhay 1998 Commum. Numer. Methods Engng. 14 597-608). We give a sufficient and some necessary conditions for such inverse eigenvalue problem to have solutions. Based on these results, a simple method for the reconstruction of a Jacobi matrix from eigenvalues is developed. Numerical examples are given to demonstrate our results. | - |
dc.language | eng | - |
dc.relation.ispartof | Numerische Mathematik | - |
dc.title | On sufficient and necessary conditions for the Jacobi matrix inverse eigenvalue problem | - |
dc.type | Article | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1007/s00211-004-0525-x | - |
dc.identifier.scopus | eid_2-s2.0-3543036984 | - |
dc.identifier.volume | 98 | - |
dc.identifier.issue | 1 | - |
dc.identifier.spage | 167 | - |
dc.identifier.epage | 176 | - |
dc.identifier.isi | WOS:000222570900007 | - |
dc.identifier.issnl | 0029-599X | - |