Matrix similarity transformations derived from extended q-analogues of the Toda equation and Lotka–Volterra system
DOI10.1080/10236198.2023.2220428zbMath1525.37062arXiv2301.09298OpenAlexW4379930387MaRDI QIDQ6167559
Masashi Iwasaki, Unnamed Author, Masato Shinjo
Publication date: 7 August 2023
Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2301.09298
(q)-calculus and related topics (05A30) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Relations of finite-dimensional Hamiltonian and Lagrangian systems with algebraic geometry, complex analysis, special functions (37J38) Integrable difference and lattice equations; integrability tests (39A36) Completely integrable discrete dynamical systems (37J70)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the existence of Darboux transformations for banded matrices
- The QR algorithm and scattering for the finite nonperiodic Toda lattice
- The solution to a generalized Toda lattice and representation theory
- Theory of nonlinear lattices.
- Orthogonal polynomial interpretation of \(q\)-Toda and \(q\)-Volterra equations
- The interplay between classical analysis and (numerical) linear algebra -- a tribute to Gene H. Golub
- Integrable discrete hungry systems and their related matrix eigenvalues
- Eigenvalue clustering of coefficient matrices in the iterative stride reductions for linear systems
- The Kostant-Toda equation and the hungry integrable systems
- On the Darboux transform and the solutions of some integrable systems
- Complex high order Toda and Volterra lattices1
- Algebraic constructions of integrable dynamical systems-extensions of the Volterra system
- On the Toda Lattice. II: Inverse-Scattering Solution
- The Toda lattice. II. Existence of integrals
- Asymptotic analysis of non-autonomous discrete hungry integrable systems
- On the convergence of a solution of the discrete Lotka Volterra system
This page was built for publication: Matrix similarity transformations derived from extended q-analogues of the Toda equation and Lotka–Volterra system
