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Generalized Toda flows, Riccati equations on the Grassmanian, and the QR- algorithm

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Publication:1111748
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DOI10.1007/BF01078039zbMath0658.34041MaRDI QIDQ1111748

L. E. Fajbusovich

Publication date: 1987

Published in: Functional Analysis and its Applications (Search for Journal in Brave)


zbMATH Keywords

Riccati equationsGrassmann manifoldsQR-algorithmgeneralized Toda flow


Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Ordinary differential equations and systems on manifolds (34C40) Dynamical systems and ergodic theory (37-XX)


Related Items (2)

Generalized Eulerian numbers and the topology of the Hessenberg variety of a matrix ⋮ Toda Flows and Isospectral Manifolds



Cites Work

  • The QR algorithm and scattering for the finite nonperiodic Toda lattice
  • The Generalized Toda Flow, the QR Algorithm and the Center Manifold Theory
  • Phase Portrait of the Matrix Riccati Equation
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