An inverse eigenvalue problem for Jacobi matrix

Ying Wei and Hua Dai

Applied Mathematics and Computation, 2015, vol. 251, issue C, 633-642

Abstract: The paper considers an inverse eigenvalue problem of Jacobi matrix which is obtained from reconstruction of a fixed-free mass-spring system of size 2n 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.

Keywords: Eigenvalues; Inverse problem; Mass-spring system; Jacobi matrix (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:251:y:2015:i:c:p:633-642

DOI: 10.1016/j.amc.2014.11.101

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