Matrix shapes invariant under the symmetric QR algorithm

DOI10.1002/nla.1680020203zbMath0839.65047OpenAlexW2071440391MaRDI QIDQ4850228

Gene H. Golub, Peter Arbenz

Publication date: 16 June 1996

Published in: Numerical Linear Algebra with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nla.1680020203

zbMATH Keywords

eigenvaluedense matricesstaircase matricessymmetric QR algorithm

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15)

Related Items (9)

Isospectral flows that preserve matrix structure ⋮ Implicit QR for rank-structured matrix pencils ⋮ On matrix structures invariant under Toda-like isospectral flows ⋮ On a condensed form for normal matrices under finite sequences of elementary unitary similarities ⋮ Fast and stable QR eigenvalue algorithms for generalized companion matrices and secular equations ⋮ An extended QR-solver for large profiled matrices ⋮ A CMV-Based Eigensolver for Companion Matrices ⋮ Structures preserved by the QR-algorithm ⋮ Total positivity and Toda flow

Uses Software

• symrcm

Cites Work

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