General isospectral flows for linear dynamic systems

DOI10.1016/j.laa.2003.12.027zbMath1053.37007OpenAlexW2149127701MaRDI QIDQ1827511

Zheng Chen, Seamus D. Garvey, Uwe Prells, Michael I. Friswell

Publication date: 6 August 2004

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

Full work available at URL: https://doi.org/10.1016/j.laa.2003.12.027

zbMATH Keywords

Linear operators\(\lambda\)-matricesIsospectral flowsStructure-preserving transformations

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Dynamics induced by flows and semiflows (37C10) Linear transformations, semilinear transformations (15A04)

Related Items (2)

A parametrization of structure-preserving transformations for matrix polynomials ⋮ Diagonalization of quadratic matrix polynomials

Cites Work

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• Variable step-size techniques in continuous Runge-Kutta methods for isospectral dynamical systems
• Total positivity and Toda flow
• CO-ORDINATE TRANSFORMATIONS FOR SECOND ORDER SYSTEMS. PART I: GENERAL TRANSFORMATIONS
• CO-ORDINATE TRANSFORMATIONS FOR SECOND ORDER SYSTEMS. PART II: ELEMENTARY STRUCTURE-PRESERVING TRANSFORMATIONS
• The Generalized Toda Flow, the QR Algorithm and the Center Manifold Theory
• Simultaneous tridiagonalization of two symmetric matrices
• Templates for the Solution of Algebraic Eigenvalue Problems
• On isospectral spring-mass systems
• Conservative methods for the Toda lattice equations
• Isospectral Flows
• Semi-explicit methods for isospectral flows

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