On a Discrete Inverse Problem for Two Spectra

On a Discrete Inverse Problem for Two Spectra

A version of the inverse spectral problem for two spectra of finite-order real Jacobi matrices (tridiagonal symmetric matrices) is investigated. 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 deleting the...

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Veröffentlicht in:Discrete Dynamics in Nature and Society 2012-01, Vol.2012 (1), p.512-525-237
1. Verfasser: Guseinov, Gusein Sh
Format: Artikel
Sprache:eng
Schlagworte:
Dynamics
Eigenvalues
Inverse
Inverse problems
Mathematical analysis
Mathematical models
Matrices
Matrix methods
Spectra
Studies
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Zusammenfassung:A version of the inverse spectral problem for two spectra of finite-order real Jacobi matrices (tridiagonal symmetric matrices) is investigated. 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 deleting the last row and last column of the Jacobi matrix.
ISSN:1026-0226
1607-887X
DOI:10.1155/2012/956407