On a Discrete Inverse Problem for Two Spectra

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...

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Main Author: Gusein Sh. Guseinov
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2012/956407
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spelling doaj-961f1ccd279f4794adc898b39b0323382020-11-24T20:57:48ZengHindawi LimitedDiscrete Dynamics in Nature and Society1026-02261607-887X2012-01-01201210.1155/2012/956407956407On a Discrete Inverse Problem for Two SpectraGusein Sh. Guseinov0Department of Mathematics, Atilim University, Ankara, 06836 Incek, TurkeyA 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.http://dx.doi.org/10.1155/2012/956407
collection DOAJ
language English
format Article
sources DOAJ
author Gusein Sh. Guseinov
spellingShingle Gusein Sh. Guseinov
On a Discrete Inverse Problem for Two Spectra
Discrete Dynamics in Nature and Society
author_facet Gusein Sh. Guseinov
author_sort Gusein Sh. Guseinov
title On a Discrete Inverse Problem for Two Spectra
title_short On a Discrete Inverse Problem for Two Spectra
title_full On a Discrete Inverse Problem for Two Spectra
title_fullStr On a Discrete Inverse Problem for Two Spectra
title_full_unstemmed On a Discrete Inverse Problem for Two Spectra
title_sort on a discrete inverse problem for two spectra
publisher Hindawi Limited
series Discrete Dynamics in Nature and Society
issn 1026-0226
1607-887X
publishDate 2012-01-01
description 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.
url http://dx.doi.org/10.1155/2012/956407
work_keys_str_mv AT guseinshguseinov onadiscreteinverseproblemfortwospectra
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