Inverse spectral problem for finite Jacobi matrices with zero diagonal | Atılım University Open Archive System
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Inverse spectral problem for finite Jacobi matrices with zero diagonal
BROWSE_DETAIL_CREATION_DATE: 29-07-2015
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BROWSE_DETAIL_TYPE: Article
BROWSE_DETAIL_PUBLISH_STATE: Published
BROWSE_DETAIL_FORMAT: No File
BROWSE_DETAIL_LANG: English
BROWSE_DETAIL_SUBJECTS: SCIENCE,
BROWSE_DETAIL_CREATORS: Aydin , Ayhan (Author), Guseinov, Gusein Sh. (Author),
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BROWSE_DETAIL_DOI: 10.1080/17415977.2014.979170
BROWSE_DETAIL_URL: http://www.tandfonline.com/doi/full/10.1080/17415977.2014.979170#.Vbh-O_ntmko
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zero-diagonal Jacobi matrix, difference equation, spectral data, inverse spectral problem, Langmuir lattice, 15A29, 49N45
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. An explicit 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.
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