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Completeness of real Toda flows and totally positive matrices

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Publication:1374870
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DOI10.1007/PL00004333zbMath0991.37051MaRDI QIDQ1374870

Michael I. Gekhtman, Michael Shapiro

Publication date: 18 December 1997

Published in: Mathematische Zeitschrift (Search for Journal in Brave)


zbMATH Keywords

singularitiesLax representationupper Hessenberg matrixToda flowsfinite nonperiodic Toda lattice


Mathematics Subject Classification ID

Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).


Related Items (8)

Regularization of Toda lattices by Hamiltonian reduction ⋮ Lie algebraic aspects of the finite nonperiodic Toda flows ⋮ Iso-spectral deformations of general matrix and their reductions on Lie algebras ⋮ Gradient flows, adjoint orbits, and the topology of totally nonnegative flag varieties ⋮ Qualitative behavior of non-Abelian Toda-like flows ⋮ Toda lattices with indefinite metric. II: Topology of the iso-spectral manifolds ⋮ Asymptotic Hamiltonian dynamics: The Toda lattice, the three-wave interaction and the non-holonomic Chaplygin sleigh ⋮ Hamiltonian and gradient structures in the Toda flows




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