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Article: On sufficient and necessary conditions for the Jacobi matrix inverse eigenvalue problem

TitleOn sufficient and necessary conditions for the Jacobi matrix inverse eigenvalue problem
Authors
Lu, LinzhangMichael, K. Ng
Issue Date2004
Citation
Numerische Mathematik, 2004, v. 98, n. 1, p. 167-176 How to Cite?
DOI: http://dx.doi.org/10.1007/s00211-004-0525-x
AbstractIn 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 Identifierhttp://hdl.handle.net/10722/276819
ISSN
0029-599X
2023 Impact Factor: 2.1
2023 SCImago Journal Rankings: 1.855
ISI Accession Number ID
WOS:000222570900007

 

DC FieldValueLanguage
dc.contributor.authorLu, Linzhang-
dc.contributor.authorMichael, K. Ng-
dc.date.accessioned2019-09-18T08:34:45Z-
dc.date.available2019-09-18T08:34:45Z-
dc.date.issued2004-
dc.identifier.citationNumerische Mathematik, 2004, v. 98, n. 1, p. 167-176-
dc.identifier.issn0029-599X-
dc.identifier.urihttp://hdl.handle.net/10722/276819-
dc.description.abstractIn 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.languageeng-
dc.relation.ispartofNumerische Mathematik-
dc.titleOn sufficient and necessary conditions for the Jacobi matrix inverse eigenvalue problem-
dc.typeArticle-
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1007/s00211-004-0525-x-
dc.identifier.scopuseid_2-s2.0-3543036984-
dc.identifier.volume98-
dc.identifier.issue1-
dc.identifier.spage167-
dc.identifier.epage176-
dc.identifier.isiWOS:000222570900007-
dc.identifier.issnl0029-599X-

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