An inverse eigenvalue problem for Jacobi matrix

• DOI: 10.1016/j.amc.2014.11.101
• Publication Date: 2014-12-17T13:46:43Z
• Authors: Ying Wei; Hua Dai
• Keywords: Jacobi eigenvalue algorithm; Jacobi operator; Matrix (chemical analysis)

The paper considers an inverse eigenvalue problem of Jacobi matrix which is obtained from reconstruction of a fixed-free mass-spring system of size 2 n from its spectrum and from existing physical parameters of the first half of the particles. The necessary and sufficient conditions for the solvability of the problem are derived. Two numerical algorithms and some numerical examples are given.