Discrete Dynamics in Nature and Society
Volume 2012 (2012), Article ID 956407, 14 pages
Research Article

On a Discrete Inverse Problem for Two Spectra

Department of Mathematics, Atilim University, Ankara, 06836 Incek, Turkey

Received 20 November 2011; Accepted 11 January 2012

Academic Editor: Victor S. Kozyakin

Copyright © 2012 Gusein Sh. Guseinov. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


A version of the inverse spectral problem for two spectra of finite-order real Jacobi matrices (tridiagonal symmetric matrices) is investigated. 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 last row and last column of the Jacobi matrix.