A note on the minimal polynomial of the Kronecker sum of two linear operators

DOI10.1016/0024-3795(90)90326-8zbMath0709.15002OpenAlexW2074903776MaRDI QIDQ921081

Yahya Ould Hamidoune, J. A. Dias da Silva

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0024-3795(90)90326-8

zbMATH Keywords

Kronecker summinimal polynomiallinear transformations

Mathematics Subject Classification ID

Linear transformations, semilinear transformations (15A04) Canonical forms, reductions, classification (15A21)

Related Items (9)

DECOMPOSITION OF THE KRONECKER SUMS OF MATRICES INTO A DIRECT SUM OF IRREDUCIBLE MATRICES ⋮ Generalized derivations and additive theory ⋮ Multilinear algebra: Recent applications ⋮ On the degree of the minimal polynomial of some partial derivations ⋮ Yahya Ould Hamidoune's mathematical journey: a critical review of his work ⋮ On the exterior algebra method applied to restricted set addition ⋮ Pairs of sets with small sumset and small periodic product-set ⋮ The invariant polynomials degrees of the Kronecker sum of two linear operators and additive theory ⋮ Critical pairs of matrices for the degree of the minimal polynomial of the Kronecker sum

Cites Work

• Unnamed Item
• An application of group theory to matrices and to ordinary differential equations
• On the Addition of Residue Classes
• Two addition theorems
• A Historical Note

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