The Darboux transformation and the complex Toda lattice

Branquinho, Amilcar and Barrios Rolania, Maria Dolores and Foulquié Moreno, E. (2008). The Darboux transformation and the complex Toda lattice. In: "International Conference on Computational Methods and Function Theory", 08/06/2009-12/06/2009, Ankara, Turquía. pp..

Description

Title: The Darboux transformation and the complex Toda lattice
Author/s:
  • Branquinho, Amilcar
  • Barrios Rolania, Maria Dolores
  • Foulquié Moreno, E.
Item Type: Presentation at Congress or Conference (Article)
Event Title: International Conference on Computational Methods and Function Theory
Event Dates: 08/06/2009-12/06/2009
Event Location: Ankara, Turquía
Title of Book: Posters of International Conference on Computational Methods and Function Theory
Date: 2008
Subjects:
Faculty: Facultad de Informática (UPM)
Department: Lenguajes y Sistemas Informáticos e Ingeniería del Software
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

It is well known that each solution of the Toda lattice can be represented by a tridiagonal matrix J(t). Under certain restrictions, it is possible to obtain some new solution by using the Darboux transformation of J(t) ¡ CI. Our goal is the extension of this fact, which is known for the real lattice, to high order complex Toda lattices as well as to the bi-infinite Toda lattice. In this latter case, we use the factorization LU for block-tridiagonal matrices.

More information

Item ID: 3728
DC Identifier: http://oa.upm.es/3728/
OAI Identifier: oai:oa.upm.es:3728
Official URL: http://www.bilkent.edu.tr/~cmft/
Deposited by: Memoria Investigacion
Deposited on: 16 Jul 2010 11:24
Last Modified: 20 Apr 2016 13:13
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