GCRIS :: Search

Search Results

Now showing 1 - 2 of 2

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: 3
Citation - Scopus: 3
Inverse Spectral Problem for Finite Jacobi Matrices With Zero Diagonal
(Taylor & Francis Ltd, 2015) Aydin, Ayhan; Guseinov, Gusein Sh.
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. Anexplicit 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.