An Inverse Spectral Problem for Complex Jacobi Matrices

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Date

2010

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Volume Title

Publisher

Elsevier

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No

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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

Turkish CoHE Thesis Center URL

Fields of Science

0101 mathematics, 01 natural sciences

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WoS Q

Q1

Scopus Q

Q1
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OpenCitations Citation Count
3

Source

Communications in Nonlinear Science and Numerical Simulation

Volume

15

Issue

4

Start Page

840

End Page

851

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CrossRef : 1

Scopus : 3

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3

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3

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2

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