On matrix structures invariant under Toda-like isospectral flows

DOI10.1016/S0024-3795(96)00523-XzbMath0870.15005MaRDI QIDQ677898

Daniel A. Ashlock, Irvin Roy Hentzel, Kenneth R. Driessel

Publication date: 24 September 1997

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

zbMATH Keywords

linear transformationeigenvaluesLie bracketassociative and non-associative algebradifference-weighted graphslarge structured symmetric matricesToda algebraToda-like isospectral flows

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Linear programming (90C05) Algebraic systems of matrices (15A30) Linear transformations, semilinear transformations (15A04)

Related Items

Total positivity and Toda flow

Cites Work

• Parallel concepts in graph theory
• Scaled Toda-like flows
• Ordinary Differential Equations and the Symmetric Eigenvalue Problem
• The Generalized Toda Flow, the QR Algorithm and the Center Manifold Theory
• The Projected Gradient Method for Least Squares Matrix Approximations with Spectral Constraints
• Differential Equations and the $QR$ Algorithm
• Isospectral Flows and Abstract Matrix Factorizations
• Matrix shapes invariant under the symmetric QR algorithm
• Isospectral Flows
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