Potter, Wielandt, and Drazin on the Matrix Equation AB = wBA: New Answers to Old Questions

DOI10.2307/4145039zbMath1187.15001arXivmath/0512607OpenAlexW4255321893MaRDI QIDQ3563728

Hans Schneider, Volker Mehrmann, O. V. Holtz

Publication date: 1 June 2010

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0512607

Mathematics Subject Classification ID

History of mathematics in the 20th century (01A60) Matrix equations and identities (15A24) History of linear algebra (15-03)

Related Items (11)

Lengths of quasi-commutative pairs of matrices ⋮ On ω‐commuting graphs and their diameters ⋮ Averaging operators for exponential splittings ⋮ The realizability problem for the values of the length function of quasi-commuting matrix pairs ⋮ A noncommutative weight-dependent generalization of the binomial theorem ⋮ Length realizability for pairs of quasi-commuting matrices ⋮ Approximate factoring of the inverse ⋮ A non-commutative \(n\)-nomial formula ⋮ The product of matrix subspaces ⋮ Linear maps on matrices preserving commutativity up to a factor ⋮ A note on Potter's theorem for quasi-commutative matrices

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