Factorizations of rational matrix functions with application to discrete isomonodromic transformations and difference Painlevé equations

DOI10.1088/1751-8113/42/45/454008zbMath1181.15016arXiv0904.1971OpenAlexW2057440811MaRDI QIDQ3648247

Anton Dzhamay

Publication date: 24 November 2009

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0904.1971

zbMATH Keywords

Painlevé difference equationdiscrete Euler-Lagrange equationsdiscrete isomonodromic transformationfactorization of rational matrix functions

Mathematics Subject Classification ID

Factorization of matrices (15A23) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Additive difference equations (39A10) Discrete version of topics in analysis (39A12) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Matrices over function rings in one or more variables (15A54)

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