A method for recovering Jacobi matrices with mixed spectral data

Zhaoying Wei and Guangsheng Wei

Applied Mathematics and Computation, 2019, vol. 359, issue C, 426-432

Abstract: In this paper we employ the Euclidean division for polynomials to recover uniquely a Jacobi matrix in terms of the mixed spectral data consisting of its partial entries and the information given on its full spectrum together with a subset of eigenvalues of its truncated matrix obtained by deleting the last row and last column, or its rank-one modification matrix modified by adding a constant to the last element. A necessary and sufficient condition is provided for the existence of the inverse problem. A numerical algorithm and a numerical example are given.

Keywords: Jacobi matrix; Eigenvalue; Euclidean division (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:359:y:2019:i:c:p:426-432

DOI: 10.1016/j.amc.2019.04.050

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