Mathematical Problems in Engineering
Volume 2011 (2011), Article ID 571781, 11 pages
http://dx.doi.org/10.1155/2011/571781
Research Article

An Inverse Eigenvalue Problem for Jacobi Matrices

Zhengsheng Wang1 and Baojiang Zhong2

1Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
2School of Computer Science and Technology, Soochow University, Suzhou 215006, China

Received 25 November 2010; Revised 26 February 2011; Accepted 1 April 2011

Academic Editor: Jaromir Horacek

Copyright © 2011 Zhengsheng Wang and Baojiang Zhong. 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.

Abstract

A kind of inverse eigenvalue problem is proposed which is the reconstruction of a Jacobi matrix by given four or five eigenvalues and corresponding eigenvectors. The solvability of the problem is discussed, and some sufficient conditions for existence of the solution of this problem are proposed. Furthermore, a numerical algorithm and two examples are presented.