Monotonicity Properties of the Toda Flow, the QR-Flow, and Subspace Iteration

DOI10.1137/0612032zbMath0739.34064OpenAlexW2087641473MaRDI QIDQ3977057

Jeffrey C. Lagarias

Publication date: 25 June 1992

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0612032

zbMATH Keywords

matrix inequalitiesRitz valuesHamiltonian dynamical systemsubspace iterationToda flowset of particles\(QR\)-flowexponentially repulsive potentials

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Inequalities involving eigenvalues and eigenvectors (15A42) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (5)

Ordering positive definite matrices ⋮ Numerical solution of isospectral flows ⋮ Completely integrable gradient flows ⋮ A Lie bracket decomposition and its application to flows on symmetric matrices ⋮ On solving an isospectral flow

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