Inverse spectral problem for finite Jacobi matrices with zero diagonal
Date
2015-08-08
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Journal Title
Journal ISSN
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Publisher
Inverse Problems in Science and Engineering
Abstract
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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Keywords
mathematics