Matrix Toda and Volterra lattices

DOI10.1016/j.amc.2019.124722zbMath1433.34021OpenAlexW2974518634MaRDI QIDQ2284334

Juan Carlos García-Ardila, Amílcar Branquinho, Ana Foulquié Moreno

Publication date: 14 January 2020

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10773/27048

zbMATH Keywords

block Jacobi matricesmatrix biorthogonal polynomialsmatrix Toda latticematrix Volterra latticesymmetrized process

Mathematics Subject Classification ID

Factorization of matrices (15A23) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Polynomials and rational functions of one complex variable (30C10) Ordinary lattice differential equations (34A33)

Related Items (3)

Deficiency indices of block Jacobi matrices and Miura transformation ⋮ An inverse spectral problem for a special class of band matrices and Bogoyavlensky lattice ⋮ Non-Abelian Toda-type equations and matrix valued orthogonal polynomials

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