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The Darboux transformation and the complex Toda lattice
Citation
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 |
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| Author/s: |
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| 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 |
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 |
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| DC Identifier: | https://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 |
