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Hochstadt inverse eigenvalue problem for Jacobi matrices

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Abstract In this study, we give the necessary and sufficient conditions for the existence of a solution to the Hochstadt inverse eigenvalue problem (HIEP), i.e., the problem of recovering n… Click to show full abstract

Abstract In this study, we give the necessary and sufficient conditions for the existence of a solution to the Hochstadt inverse eigenvalue problem (HIEP), i.e., the problem of recovering n unknown parameters of a Jacobi matrix from all n of its eigenvalues and n − 1 known parameters. Effective algorithms are proposed for solving the HIEP.

Keywords: eigenvalue problem; inverse eigenvalue; hochstadt inverse; problem jacobi; problem

Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2017

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