Generalization of Flanders' theorem to matrix triples.

DOI10.1016/j.laa.2003.05.004zbMath1055.15021OpenAlexW2075613836MaRDI QIDQ1428618

J. Gelonch, Charles R. Johnson

Publication date: 29 March 2004

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

Full work available at URL: https://doi.org/10.1016/j.laa.2003.05.004

zbMATH Keywords

permutation matricesfactorization of matricescommutativityFlanders' theoremmatrix triples

Mathematics Subject Classification ID

Factorization of matrices (15A23) Permutations, words, matrices (05A05) Matrix equations and identities (15A24) Commutativity of matrices (15A27) Algebraic systems of matrices (15A30) Canonical forms, reductions, classification (15A21)

Related Items (2)

Order invariant spectral properties for several matrices ⋮ Flanders' theorem for many matrices under commutativity assumptions

Cites Work

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• The contragredient equivalence for several matrices: A set of invariants
• On the matrices \(AB\) and \(BA\)
• Matrix Analysis
• An extension of flanders theorem to several matrices
• The Relationship Between AB and BA
• Elementary Divisors of AB and BA

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