Spectrum and Generation of Solutions of the Toda Lattice | Zendy

D. Barrios Rolanı́a | Zendy; J. R. Gascón Márquez | Zendy

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Spectrum and Generation of Solutions of the Toda Lattice

Author(s) -

D. Barrios Rolanı́a,

J. R. Gascón Márquez

Publication year - 2009

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2009/237487

Subject(s) - algorithm , computer science , artificial intelligence

Sufficient conditions for constructing a set of solutions of the Toda lattice areanalyzed. First, under certain conditions the invariance of the spectrum of J(t) isestablished in the complex case. Second, given the tri-diagonal matrix J(t) defining a Toda lattice solution, the dynamic behavior of zeros of polynomials associated to J(t) is analyzed. Finally, it is shown by means of an example how to apply our results togenerate complex solutions of the Toda lattice starting with a given solution

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