Dynamics and interpretation of some integrable systems via matrix orthogonal polynomials

In this work we characterize a high-order Toda lattice in terms of a family of matrix polynomials orthogonal with respect to a complex matrix measure. In order to study the solution of this dynamical system, we give explicit expressions for the Weyl function, generalized Markov function, and we also...

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Bibliographic Details
Main Author: Branquinho, A. (author)
Other Authors: Moreno, Ana Foulquié (author), Mendes, A. (author)
Format: article
Language:eng
Published: 2018
Subjects:
Online Access:http://hdl.handle.net/10773/21344
Country:Portugal
Oai:oai:ria.ua.pt:10773/21344