A class of complex solutions to the finite Toda lattice

A class of complex solutions to the finite Toda lattice

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Article ID: iaor20131349
Volume: 57
Issue: 5-6
Start Page Number: 1190
End Page Number: 1202
Publication Date: Mar 2013
Journal: Mathematical and Computer Modelling
Authors:
Keywords: matrices
Abstract:

In this paper, a class of complex‐valued solutions to the finite Toda lattice is constructed by using the inverse spectral method. The corresponding Lax operator is a finite complex Jacobi matrix. As the initial values there are taken such complex numbers that the corresponding Jacobi matrix has a simple spectrum. Some examples are given.

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