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COAR Access Rights: metadata only accessSubject: Spectral data

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Now showing 1 - 4 of 4
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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.
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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 - Scopus: 1
    Reconstruction of Complex Jacobi Matrices From Spectral Data
    (Hacettepe University, 2009) Guseinov,G.S.
    In this paper, we introduce spectral data for finite order complex Jacobi matrices and investigate the inverse problem of determining the matrixfrom 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.
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    Article
    Citation - WoS: 5
    Citation - Scopus: 7
    Solution of the Finite Complex Toda Lattice by the Method of Inverse Spectral Problem
    (Elsevier Science inc, 2013) Huseynov, Aydin; Guseinov, Gusein Sh.
    We show that the finite Toda lattice with complex-valued initial data can be integrated by the method of inverse spectral problem. For this goal spectral data for complex Jacobi matrices are introduced and an inverse spectral problem with respect to the spectral data is solved. The time evolution of the spectral data for the Jacobi matrix associated with the solution of the Toda lattice is computed. Using the solution of the inverse spectral problem with respect to the time-dependent spectral data we reconstruct the time-dependent Jacobi matrix and hence the desired solution of the finite complex Toda lattice. (C) 2012 Elsevier Inc. All rights reserved.