A canonical basis for the matrix transformation \(X\to AXB\)

DOI10.1016/0022-247X(66)90068-0zbMath0168.03201MaRDI QIDQ2530560

Anthony Trampus

Publication date: 1966

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

zbMATH Keywords

linear algebra, forms

Related Items (7)

DECOMPOSITION OF THE KRONECKER SUMS OF MATRICES INTO A DIRECT SUM OF IRREDUCIBLE MATRICES ⋮ 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

Cites Work

• A canonical basis for the matrix transformation \(X \to AX+XB\)
• On direct product matrices
• Tensor product analysis of partial difference equations
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