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Citation - WoS: 1
Citation - Scopus: 1
On the Determination of a Complex Finite Jacobi Matrix From Spectral Data
(Univ Politehnica Bucharest, Sci Bull, 2015) Guseinov, Gusein Sh; Mathematics
In this paper, we study the necessary and sufficient conditions for solvability of an inverse spectral problem for finite order complex Jacobi matrices (tri-diagonal symmetric matrices with complex entries). The problem is to reconstruct the complex Jacobi matrix from the spectral data consisting of eigenvalues and normalizing numbers of this matrix. An explicit procedure of reconstruction of the matrix from the spectral data is given.
Citation - WoS: 1
Citation - Scopus: 1
On Determination of a Finite Jacobi Matrix From Two Spectra
(Tech Science Press, 2012) Guseinov, Gusein Sh; Mathematics
In this work we study the inverse spectral problem for two spectra of finite order real 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 replacing the first diagonal element of the Jacobi matrix by some another number. The uniqueness and existence results for solution of the inverse problem are established and an explicit procedure of reconstruction of the matrix from the two spectra is given.