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Pairs of matrices with quadratic minimal polynomials

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Publication:1051710
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DOI10.1016/0024-3795(83)80019-6zbMath0515.15006OpenAlexW1978004683MaRDI QIDQ1051710

Fergus J. Gaines, Helene Shapiro, Thomas J. Laffey

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0024-3795(83)80019-6


zbMATH Keywords

quadratic minimal polynomialsalgebra generated by matrices


Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Finite rings and finite-dimensional associative algebras (16P10) Algebraic systems of matrices (15A30) Canonical forms, reductions, classification (15A21)


Related Items

The effect of assuming the identity as a generator on the length of the matrix algebra ⋮ Simultaneous reduction of sets of matrices under similarity ⋮ On the dimension of the algebra generated by two positive semi-commuting matrices ⋮ On algebras generated by positive operators ⋮ A conjecture of Kippenhahn about the characteristic polynomial of a pencil generated by two hermitian matrices. II ⋮ On matrices that admit unitary reduction to band form ⋮ A survey of canonical forms and invariants for unitary similarity ⋮ Pencils of complex and real symmetric and skew matrices



Cites Work

  • Algebras generated by two idempotents
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