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Total positivity and Toda flow

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Publication:1611889
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DOI10.1016/S0024-3795(02)00331-2zbMath1146.15302WikidataQ126382712 ScholiaQ126382712MaRDI QIDQ1611889

Graham M. L. Gladwell

Publication date: 28 August 2002

Published in: Linear Algebra and its Applications (Search for Journal in Brave)



Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Qualitative theory for ordinary differential equations (34C99)


Related Items

Isospectral flows that preserve matrix structure, Gradient flows, adjoint orbits, and the topology of totally nonnegative flag varieties, Isospectral matrix flow maintaining staircase structure and total positivity of an initial matrix, Neville elimination for rank-structured matrices, Inner totally positive matrices, General isospectral flows for linear dynamic systems



Cites Work

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  • On matrix structures invariant under Toda-like isospectral flows
  • Total positivity and Neville elimination
  • Total positivity and the QR algorithm
  • On oscillatory matrices
  • Matrix shapes invariant under the symmetric QR algorithm
  • On the Nature of the Spectrum of Singular Second Order Linear Differential Equations
  • Totally positive matrices
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