Schur's theorem for a block Hadamard product

DOI10.1016/j.laa.2012.04.002zbMath1247.15018OpenAlexW2020114117MaRDI QIDQ426088

Lutz Klotz, Matthias Günther

Publication date: 11 June 2012

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

Full work available at URL: https://doi.org/10.1016/j.laa.2012.04.002

zbMATH Keywords

Hadamard productKronecker productblock matricespositive semidefinite matricesOppenheim's determinantal inequalitySchur's product theorem

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Commutativity of matrices (15A27) Positive matrices and their generalizations; cones of matrices (15B48) Miscellaneous inequalities involving matrices (15A45) Multilinear algebra, tensor calculus (15A69)

Related Items (11)

On a Schur-type product for matrices with operator entries ⋮ An Oppenheim type inequality for positive definite block matrices ⋮ An Oppenheim type inequality for a block Hadamard product ⋮ Extension of an Oppenheim type determinantal inequality for the block Hadamard product ⋮ Inequalities related to partial trace and block Hadamard product ⋮ Lieb functions and \(m\)-positivity of norms ⋮ A Perron-Frobenius theory for block matrices associated to a multiplex network ⋮ Matrix multipliers for a block Schur product ⋮ Some results on block Kronecker and block Hadamard product of matrices ⋮ Trace inequalities for a block Hadamard product ⋮ An Oppenheim type determinantal inequality for the Khatri-Rao product

Cites Work

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• Block Kronecker products and the vecb operator
• Several inequalities involving Khatri-Rao products of positive semidefinite matrices
• On the Hadamard product of matrices
• Partitioned Hermitian matrices
• Matrix Analysis
• Block Kronecker Products and Block Norm Matrices in Large-Scale Systems Analysis
• Inequalities for unitarily invariant norms and bilinear matrix products
• The Schur Product Theorem in the Block Case
• Conditions for Positive and Nonnegative Definiteness in Terms of Pseudoinverses

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