Matrix Toda and Volterra lattices

Amílcar Branquinho, Ana Foulquié-Moreno and Juan C. García-Ardila

Applied Mathematics and Computation, 2020, vol. 365, issue C

Abstract: We consider matrix Toda and Volterra lattice equations and their relation with matrix biorthogonal polynomials. From that relation, we give a method for constructing a new solution of these systems from another given one. An illustrative example is presented.

Keywords: Matrix biorthogonal polynomials; Matrix Toda lattice; Matrix Volterra lattice; Symmetrized process; block Jacobi Matrices (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:365:y:2020:i:c:s0096300319307143

DOI: 10.1016/j.amc.2019.124722

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