Rank equalities and inequalities for Kronecker products of matrices with applications.

DOI10.1016/S0096-3003(03)00203-0zbMath1041.15016OpenAlexW1966987559MaRDI QIDQ1428183

Yongge Tian, Jian-Jun Chuai

Publication date: 14 March 2004

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(03)00203-0

zbMATH Keywords

linear transformationdimensionrangeKronecker productblock matrixrank equalityrank inequality

Mathematics Subject Classification ID

Miscellaneous inequalities involving matrices (15A45) Linear transformations, semilinear transformations (15A04) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items (6)

On orthogonal projections related to representations of the Hecke algebra on a tensor space ⋮ Spectral properties of sums of certain Kronecker products ⋮ Some rank equalities and inequalities for Kronecker products of matrices ⋮ On the Kronecker products and their applications ⋮ Two sets of new characterizations for normal and EP matrices. ⋮ Preserving Zeros of a Polynomial

Cites Work

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• A note on the range of the operator \(X\to AX-XB\)
• The group inverse of the transformation \(\mathcal{S}(X)=AX-XB\)
• The ubiquitous Kronecker product
• A canonical basis for the matrix transformation \(X \to AX+XB\)
• Essential Spectra of Elementary Operators
• A Note on the Operator X →AX - XB
• On the range and the kernel of the operator 𝑋\mapsto𝐴𝑋𝐵-𝑋
• A Note on Kronecker Matrix Products and Matrix Equation Systems
• Rank equalities for idempotent and involutory matrices

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