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Inverse problems for pseudo-Jacobi matrices: existence and uniqueness results

Authors: Bebiano N, da Providencia J

Ref.: INVERSE PROBLEMS 27, 025005 (2011)

Abstract: This paper contains some inter-related results dealing with the general question of constructing a matrix with certain prescribed data. A theorem of Hochstadt states the unique recovery of a Jacobi matrix from two spectra, and Malamud extended this result for normal matrices. Here these results are generalized and related problems are investigated, including existence and uniqueness theorems. Some of the results are not new, and they are included to illustrate the uniformity allowed by our proof techniques.