GCRIS :: Search

Search Results

Now showing 1 - 2 of 2

Citation - WoS: 15
Citation - Scopus: 18
Inverse Spectral Problems for Tridiagonal N by N Complex Hamiltonians
(Natl Acad Sci Ukraine, inst Math, 2009) Guseinov, Gusein Sh.
In this paper, the concept of generalized spectral function is introduced for finite-order tridiagonal symmetric matrices (Jacobi matrices) with complex entries. The structure of the generalized spectral function is described in terms of spectral data consisting of the eigenvalues and normalizing numbers of the matrix. The inverse problems from generalized spectral function as well as from spectral data are investigated. In this way, a procedure for construction of complex tridiagonal matrices having real eigenvalues is obtained.
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.