Non-commutative Hermite-Padé approximation and integrability
DOI10.1007/s11005-022-01560-zzbMath1494.39020arXiv2202.00782OpenAlexW4283818213WikidataQ114224868 ScholiaQ114224868MaRDI QIDQ2156093
Publication date: 15 July 2022
Published in: Letters in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2202.00782
orthogonal polynomialsHermite-Padé approximationdiscrete integrable equationsnoncommutative Hirota systemnoncommutative rational approximationnoncommutative Toda system
Determinants, permanents, traces, other special matrix functions (15A15) Padé approximation (41A21) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Lattice dynamics; integrable lattice equations (37K60) Integrable difference and lattice equations; integrability tests (39A36)
Related Items (3)
Cites Work
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- Multidimensional Toda lattices: continuous and discrete time
- The affine Weyl group symmetry of Desargues maps and of the non-commutative Hirota-Miwa system
- Hermite-Padé approximation, isomonodromic deformation and hypergeometric integral
- Multiple orthogonal polynomials of mixed type: Gauss-Borel factorization and the multi-component 2D Toda hierarchy
- Non-commutative integrability, paths and quasi-determinants
- Approximants de Padé-Hermite. II.: Programmation
- Characterization of Jacobian varieties in terms of soliton equations
- Recurrence relations in Padé-Hermite approximation
- The integration of semi-infinite Toda chain by means of inverse spectral problem
- Multiple orthogonal polynomials
- A theory of noncommutative determinants and characteristic functions of graphs
- Generalized orthogonal polynomials, discrete KP and Riemann-Hilbert problems.
- Quasideterminants
- Noncommutative symmetric functions
- On Hirota's difference equations
- Minor identities for quasi-determinants and quantum determinants
- Orthogonal matrix polynomials and applications
- The Coxeter relations and KP map for non-commuting symbols
- Mixed type Hermite-Padé approximation inspired by the Degasperis-Procesi equation
- Nonlinear Partial Difference Equations. II. Discrete-Time Toda Equation
- Discrete integrable systems generated by Hermite-Padé approximants
- Discrete Systems and Integrability
- T-systems andY-systems in integrable systems
- On the Inverse Scattering Transform for the Kadomtsev-Petviashvili Equation
- On solutions to the non-Abelian Hirota–Miwa equation and its continuum limits
- Multiple orthogonal polynomial ensembles
- Finitely many mass points on the line under the influence of an exponential potential -- an integrable system
- Darboux transformations and the discrete KP equation
- Christoffel Transformations for Matrix Orthogonal Polynomials in the Real Line and the non-Abelian 2D Toda Lattice Hierarchy
- Non-commutative lattice-modified Gel’fand–Dikii systems
- Ladder operators and differential equations for multiple orthogonal polynomials
- Desargues maps and the Hirota–Miwa equation
- Non-commutative birational maps satisfying Zamolodchikov equation, and Desargues lattices
- Hermite-Padé approximations and multiple orthogonal polynomial ensembles
- Quasideterminant solutions of a non-Abelian Hirota–Miwa equation
- On a non-Abelian Hirota–Miwa equation
- Matrix-valued orthogonal polynomials on the real line: some extensions of the classical theory
- Non-commutative double-sided continued fractions
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