A canonical basis for the matrix transformation \(X \to AX+XB\)

DOI10.1016/0022-247X(66)90024-2zbMath0145.25205OpenAlexW4213105754MaRDI QIDQ2523891

Anthony Trampus

Publication date: 1966

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(66)90024-2

zbMATH Keywords

linear algebra, forms

Related Items (12)

DECOMPOSITION OF THE KRONECKER SUMS OF MATRICES INTO A DIRECT SUM OF IRREDUCIBLE MATRICES ⋮ Reducing subspaces of tensor products of weighted shifts ⋮ On the Jordan form of a family of linear mappings ⋮ On the jordan form of the tensor product over fields of prime characteristic ⋮ Decomposing modular tensor products, and periodicity of `Jordan partitions' ⋮ On Jordan bases for the tensor product and Kronecker sum and their elementary divisors over fields of prime characteristic ⋮ Elementary divisors of tensor products and \(p\)-ranks of binomial matrices. ⋮ Generators for decompositions of tensor products of modules associated with standard Jordan partitions ⋮ Rank equalities and inequalities for Kronecker products of matrices with applications. ⋮ A canonical basis for the matrix transformation \(X\to AXB\) ⋮ Unnamed Item ⋮ Kronecker bases for linear matrix equations, with application to two-parameter eigenvalue problems

Cites Work

• On a commutator result of Taussky and Zassenhaus
• On Matrix Commutators
• On direct product matrices
• Tensor product analysis of partial difference equations
• A Note on k-Commutative Matrices
• On k-Commutative Matrices
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