Differential Equations and the $QR$ Algorithm

DOI10.1137/0722019zbMath0586.65030OpenAlexW2057569404MaRDI QIDQ3711655

T. Nanda

Publication date: 1985

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://www.escholarship.org/uc/item/8ss4m01s

zbMATH Keywords

asymptoticseigenvaluessystemQR algorithmmatrix differential equations

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (14)

Variable step-size techniques in continuous Runge-Kutta methods for isospectral dynamical systems ⋮ Self-similar flows ⋮ Numerical procedures based on Runge-Kutta methods for solving isospectral flows ⋮ Isospectral flows preserving some centrosymmetric structures ⋮ QR-type factorizations, the Yang-Baxter equation, and an eigenvalue problem of control theory ⋮ Action-angle map and duality for the open Toda lattice in the perspective of Hamiltonian reduction ⋮ The continuous-time Rayleigh quotient flow on the sphere ⋮ Computing low-rank rightmost eigenpairs of a class of matrix-valued linear operators ⋮ Numerical solution of isospectral flows ⋮ On matrix structures invariant under Toda-like isospectral flows ⋮ Dynamics of the QR-flow for upper Hessenberg real matrices ⋮ Self-equivalent flows associated with the generalized eigenvalue problem ⋮ Manifolds of isospectral arrow matrices ⋮ On matrix differential equations and abstract FG algorithm

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