Simultaneous reduction of matrices in the presence of a nonderogatory matrix

DOI10.1016/j.laa.2011.11.033zbMath1281.15010OpenAlexW2064019989MaRDI QIDQ389653

Thomas J. Laffey, Helena Šmigoc

Publication date: 21 January 2014

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

Full work available at URL: https://doi.org/10.1016/j.laa.2011.11.033

zbMATH Keywords

invariant subspacescommutativitysimultaneous triangularizationnonderogatory matrix

Mathematics Subject Classification ID

Commutativity of matrices (15A27) Invariant subspaces of linear operators (47A15) Canonical forms, reductions, classification (15A21)

Cites Work

• Unnamed Item
• Common eigenvectors of two matrices
• An algorithmic approach to simultaneous triangularization
• A criterion for the existence of common invariant subspaces of matrices
• Simultaneous triangularization
• Simultaneous triangularization of matrices—low rank cases and the nonderogatory case

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