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: 2
On Construction of a Quadratic Sturm-Liouville Operator Pencil From Spectral Data
(inst Mathematics & Mechanics, Natl Acad Sciences Azerbaijan, 2014) Guseinov, Gusein S. H.
Derivation of fundamental equations of the inverse spectral problem for a quadratic Sturm-Liouville operator pencil is presented. An algorithm for solving the inverse problem is offered.