Symmetric Toda, gradient flows, and tridiagonalization
DOI10.1016/j.physd.2023.133766zbMath1530.37076arXiv2304.10697MaRDI QIDQ6098263
Anthony M. Bloch, Steven N. Karp
Publication date: 13 June 2023
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2304.10697
Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Applications of Lie algebras and superalgebras to integrable systems (17B80) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Relations of finite-dimensional Hamiltonian and Lagrangian systems with Lie algebras and other algebraic structures (37J37)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A convexity theorem for isospectral manifolds of Jacobi matrices in a compact Lie algebra
- The topology of isospectral manifolds of tridiagonal matrices
- Hamiltonian group actions and integrable systems
- The QR algorithm and scattering for the finite nonperiodic Toda lattice
- Combinatorial geometries, convex polyhedra, and Schubert cells
- Completely integrable gradient flows
- Group actions and deformations for harmonic maps
- Toda flows and real Hessenberg manifolds
- Parametrizations of canonical bases and totally positive matrices
- The full Kostant-Toda hierarchy on the positive flag variety
- Dynamical systems that sort lists, diagonalize matrices, and solve linear programming problems
- On two notions of total positivity for partial flag varieties
- Gradient flows, adjoint orbits, and the topology of totally nonnegative flag varieties
- Introduction to Toric Varieties. (AM-131)
- The toda flow on a generic orbit is integrable
- Finitely many mass points on the line under the influence of an exponential potential -- an integrable system
- Double Bruhat cells and total positivity
- The Toda lattice. II. Existence of integrals
- Fifty years of the finite nonperiodic Toda lattice: a geometric and topological viewpoint
- Parity duality for the amplituhedron
- Doubly Stochastic Matrices and the Diagonal of a Rotation Matrix
- Lectures on the Geometry of Flag Varieties
This page was built for publication: Symmetric Toda, gradient flows, and tridiagonalization
