An Inverse Spectral Problem for Complex Jacobi Matrices
An Inverse Spectral Problem for Complex Jacobi Matrices
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Abstract
We introduce the concept of generalized spectral function for finite order complex Jacobi matrices and solve the inverse problem with respect to the generalized spectral function. The results obtained can be used for solving of initial-boundary value problems for finite nonlinear Toda lattices with the complex-valued initial conditions by means of the inverse spectral problem method. (C) 2009 Elsevier B.V. All rights reserved.
Description
Keywords
Jacobi matrix, Difference equation, Generalized spectral function, Inverse spectral problem, Eigenvalues, singular values, and eigenvectors, Jacobi matrix, difference equation, Ordinary lattice differential equations, inverse spectral problem, generalized spectral function
Fields of Science
0101 mathematics, 01 natural sciences
Citation
WoS Q
Scopus Q
OpenCitations Citation Count
3
Volume
15
Issue
4
Start Page
840
End Page
851
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