The further generalization on the inequalities for Hadamard products of any number of invertible Hermitian matrices

DOI10.1186/1029-242X-2014-479zbMath1375.15033WikidataQ59323812 ScholiaQ59323812MaRDI QIDQ2405748

Zhixing Lin, Xiaoxia Feng, Mei-Xiang Chen, Qing-Hua Chen, Zhong-Peng Yang

Publication date: 26 September 2017

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

zbMATH Keywords

Hadamard productpositive definitenessmatrix inequalityHermitian matrixpositive matricesequation condition

Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48) Hermitian, skew-Hermitian, and related matrices (15B57) Miscellaneous inequalities involving matrices (15A45)

Cites Work

• The equivalent form of a matrix inequality and its application
• Further inequalities involving the Khatri-Rao product
• Concavity of certain maps on positive definite matrices and applications to Hadamard products
• Equality conditions for matrix Kantorovich-type inequalities
• Schur complements and matrix inequalities in the Löwner ordering
• The Schur complement and its applications
• A Schur complement inequality for certain P-matrices
• A quantitative version of the observation that the Hadamard product is a principal submatrix of the Kronecker product
• Inequalities involving Hadamard products of positive semidefinite matrices
• Extension and generalization inequalities involving the Khatri-Rao product of several
• Hadamard products and multivariate statistical analysis
• Schur complements and matrix inequalities of hadamard products^∗
• Some inequalities for the Khatri-Rao product of matrices
• On inequalities involving the Hadamard product of matrices
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