Construction of a Complex Jacobi Matrix From Two-Spectra

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Date

2011

Authors

Hüseyin, Hüseyin Şirin

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Hacettepe Univ, Fac Sci

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Abstract

In this paper we study the inverse spectral problem for two-spectra of finite order complex Jacobi matrices (tri-diagonal matrices). The problem is to reconstruct the matrix using two sets of eigenvalues, one for the original Jacobi matrix and one for the matrix obtained by deleting the first column and the first row of the Jacobi matrix. An explicit procedure of reconstruction of the matrix from the two-spectra is given.

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Keywords

Jacobi matrix, Spectral data, Inverse spectral problem

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Citation

4

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Q3

Scopus Q

Q3

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Volume

40

Issue

2

Start Page

297

End Page

303

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