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: | Guseinov Gusein Sh |
Keywords: | matrices |
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.