An extension of flanders theorem to several matrices

DOI10.1080/03081089708818524zbMath0890.15009OpenAlexW2053582502MaRDI QIDQ4376559

Pere Rubió, J. Gelonch, Charles R. Johnson

Publication date: 28 June 1998

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

Full work available at URL: https://doi.org/10.1080/03081089708818524

zbMATH Keywords

Jordan canonical formfactorization of matricescyclically multiplicableF-related conditionFlanders conditionnilpotence sequence

Mathematics Subject Classification ID

Factorization of matrices (15A23) Matrix equations and identities (15A24) Eigenvalues, singular values, and eigenvectors (15A18) Canonical forms, reductions, classification (15A21)

Related Items (6)

Order invariant spectral properties for several matrices ⋮ Flanders' theorem for many matrices under commutativity assumptions ⋮ On the similarity classes among products of \(m\) nonsingular matrices in various orders ⋮ Generalization of Flanders' theorem to matrix triples. ⋮ The contragredient equivalence for several matrices: A set of invariants ⋮ The contragredient equivalence: Application to solve some matrix systems

Cites Work

• Simultaneous equations models in applied search theory
• Contragredient equivalence: A canonical form and some applications
• On the matrices \(AB\) and \(BA\)
• Matrix Analysis

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