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arXiv · 1304.5460

Direct and inverse spectral problems for a class of non-selfadjoint band matrices

Natalia Bebiano·Mikhail Tyaglov
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Abstract

The spectral properties of a class of band matrices are investigated. The reconstruction of matrices of this special class from given spectral data is also studied. Necessary and sufficient conditions for that reconstruction are found. The obtained results extend some results on the direct and inverse spectral problems for periodic Jacobi matrices and for some non-self-adjoint tridiagonal matrices.

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Natalia Bebiano, Mikhail Tyaglov. 2013-04-19. Direct and inverse spectral problems for a class of non-selfadjoint band matrices. https://doi.org/10.1016/j.laa.2013.09.026

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