Construction of a Complex Jacobi Matrix From Two-Spectra
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Date
2011
Authors
Hüseyin, Hüseyin Şirin
Journal Title
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Volume Title
Publisher
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
Turkish CoHE Thesis Center URL
Fields of Science
Citation
4
WoS Q
Q3
Scopus Q
Q3
Source
Volume
40
Issue
2
Start Page
297
End Page
303