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Author: Guseinov, Gusein ShSubject: Inverse spectral problem

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    Article
    Citation - WoS: 4
    Citation - Scopus: 5
    Construction of a Complex Jacobi Matrix From Two-Spectra
    (Hacettepe Univ, Fac Sci, 2011) Guseinov, Gusein Sh; Mathematics
    In this paper we study the inverse spectral problem for two-spectra of finite order complex Jacobi matrices (tri-diagonal matrices). 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 first column and the first row of the Jacobi matrix. An explicit procedure of reconstruction of the matrix from the two-spectra is given.
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    Article
    Citation - WoS: 1
    RECONSTRUCTION OF COMPLEX JACOBI MATRICES FROM SPECTRAL DATA
    (Hacettepe Univ, Fac Sci, 2009) Guseinov, Gusein Sh
    In this paper, we introduce spectral data for finite order complex Jacobi matrices and investigate the inverse problem of determining the matrix from its spectral data. Necessary and sufficient conditions for the solvability of the inverse problem are established. An explicit procedure of reconstruction of the matrix from the spectral data is given.