Inequalities involving Hadamard products of positive semidefinite matrices

DOI10.1006/jmaa.1999.6670zbMath0949.15026OpenAlexW1969061789MaRDI QIDQ1974238

Shuangzhe Liu

Publication date: 5 December 2000

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

Full work available at URL: https://doi.org/10.1006/jmaa.1999.6670

zbMATH Keywords

inequalitiesHadamard productSchur complementscorrelation matrixpositive semidefinite matrixAlbert's theorem

Mathematics Subject Classification ID

Miscellaneous inequalities involving matrices (15A45)

Related Items (8)

The further generalization on the inequalities for Hadamard products of any number of invertible Hermitian matrices ⋮ Hadamard products of linear spaces ⋮ Matrix derivatives and Kronecker products for the core and generalized core inverses ⋮ The Hilbert function of some Hadamard products ⋮ C*-algebraic Schur product theorem, P\'{o}lya-Szeg\H{o}-Rudin question and Novak's conjecture ⋮ Further inequalities involving the Khatri-Rao product ⋮ On Hadamard products of linear varieties ⋮ Two inequalities involving Hadamard products of positive semi-definite Hermitian matrices

Cites Work

• Kantorovich and Cauchy-Schwarz inequalities involving positive semidefinite matrices, and efficiency comparisons for a singular linear model
• Several matrix Kantorovich-type inequalities
• Hadamard products and multivariate statistical analysis
• Albert's theorem applied to problems of efficiency and MSE superiority
• Schur complements and matrix inequalities of hadamard products^∗
• Conditions for Positive and Nonnegative Definiteness in Terms of Pseudoinverses
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