Matrix Toda and Volterra lattices

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摘要

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.

论文关键词：Matrix biorthogonal polynomials,Matrix Toda lattice,Matrix Volterra lattice,Symmetrized process,block Jacobi Matrices

论文评审过程：Received 22 November 2018, Revised 15 May 2019, Accepted 2 September 2019, Available online 17 September 2019, Version of Record 17 September 2019.

论文官网地址：https://doi.org/10.1016/j.amc.2019.124722