An algorithmic approach to simultaneous triangularization

DOI10.1016/j.laa.2008.05.037zbMath1181.65063OpenAlexW1984949621MaRDI QIDQ1020928

Chen Dubi

Publication date: 4 June 2009

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

Full work available at URL: https://doi.org/10.1016/j.laa.2008.05.037

zbMATH Keywords

Lie algebracommon eigenvectorsimultaneous triangularizationShemesh algorithm

Mathematics Subject Classification ID

Related Items (5)

Simultaneous reduction of matrices in the presence of a nonderogatory matrix ⋮ Nilpotent semigroups for the characterization of flat outputs of switched linear and LPV discrete-time systems ⋮ Flatness and structural analysis as a constructive framework for private communication ⋮ Towards a spectral approach for the design of self-synchronizing stream ciphers ⋮ Characterization of flat outputs of switched linear discrete-time systems: algebraic condition and algorithm

Cites Work

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• Common eigenvectors of two matrices
• Lie groups and Lie algebras III. Structure of Lie groups and Lie algebras. Transl. from the Russian by V. Minachin
• A criterion for the existence of common invariant subspaces of matrices
• The common invariant subspace problem: an approach via Gröbner bases
• Simultaneous triangularization
• Triangular realization of rational functions of \(N\) complex variables
• A Trace Condition Equivalent to Simultaneous Triangularizability
• Some Theorems on Commutative Matrices

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