Pairs of matrices, one of which commutes with their commutator

DOI10.13001/1081-3810.1460zbMath1223.15022OpenAlexW749130507MaRDI QIDQ3091582

Gerald Bourgeois

Publication date: 9 September 2011

Published in: The Electronic Journal of Linear Algebra (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/224092

zbMATH Keywords

nilpotent matrixcomplex matricescommutatorproperty Lsimultaneously triangularizableAlp'in-Koreshkov's algorithmquasi-commute

Mathematics Subject Classification ID

Commutativity of matrices (15A27) Canonical forms, reductions, classification (15A21) Matrix pencils (15A22)

Related Items (3)

Common invariant subspace and commuting matrices ⋮ Length function and simultaneous triangularization of matrix pairs ⋮ On maps preserving Lie products equal to a rank-one nilpotent

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