A Lie bracket decomposition and its application to flows on symmetric matrices

DOI10.1016/0024-3795(92)90312-XzbMath0761.58045WikidataQ115364330 ScholiaQ115364330MaRDI QIDQ1200563

Jeffrey C. Lagarias

Publication date: 16 January 1993

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

zbMATH Keywords

evolution equationLie algebraisospectral flow

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Basic linear algebra (15A99)

Cites Work

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• A convexity theorem for isospectral manifolds of Jacobi matrices in a compact Lie algebra
• What is a classical r-matrix?
• Hamiltonian group actions and integrable systems
• The QR algorithm and scattering for the finite nonperiodic Toda lattice
• Least squares matching problems
• QR-type factorizations, the Yang-Baxter equation, and an eigenvalue problem of control theory
• Completely integrable gradient flows
• Self-equivalent flows associated with the generalized eigenvalue problem
• Dynamical systems that sort lists, diagonalize matrices, and solve linear programming problems
• A new formulation of the generalized Toda lattice equations and their fixed point analysis via the momentum map
• On Rutishauser’s Approach to Self-Similar Flows
• Monotonicity Properties of the Toda Flow, the QR-Flow, and Subspace Iteration
• A Monotonicity Property for Toda-Type Flows
• The Toda lattice. II. Existence of integrals
• Isospectral Flows
• Integrals of nonlinear equations of evolution and solitary waves
• Introduction to Lie Algebras and Representation Theory

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