Generalized affine lie algebras and the solution of a class of flows associated with the QR eigenvalue algorithm

DOI10.1002/cpa.3160420704zbMath0820.58030OpenAlexW2063422954MaRDI QIDQ4710813

Luen-Chau Li, Percy A. Deift

Publication date: 25 June 1992

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cpa.3160420704

zbMATH Keywords

flowsQR algorithmcompletely integrable Hamiltonian system

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Hamilton's equations (70H05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Dynamics induced by flows and semiflows (37C10)

Related Items (8)

On the complete integrability of some Lax systems on 𝐺𝐿(𝑛,𝑅)×𝐺𝐿(𝑛,𝑅) ⋮ Rigorous foundations of the Brockett-Wegner flow for operators ⋮ How to find the Lax pair from the Yang-Baxter equation ⋮ The periodic defocusing Ablowitz-Ladik equation and the geometry of Floquet CMV matrices ⋮ Isospectral deformations of random Jacobi operators ⋮ Matrix factorizations and integrable systems ⋮ A finite dimensional integrable system arising in the study of shock clustering ⋮ Do integrable mappings have the Painlevé property?

Cites Work

• What is a classical r-matrix?
• Hamiltonian methods in the theory of solitons. Transl. from the Russian by A. G. Reyman
• Hamiltonian group actions and integrable systems
• Loop groups and equations of KdV type
• Tata lectures on theta. I: Introduction and motivation: Theta functions in one variable. Basic results on theta functions in several variables. With the assistance of C. Musili, M. Nori, E. Previato, and M. Stillman

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