Extension and generalization inequalities involving the Khatri-Rao product of several

DOI10.1155/JIA/2006/80878zbMath1134.15012OpenAlexW2061449308WikidataQ59212299 ScholiaQ59212299MaRDI QIDQ2471849

Abdel Aziz Al Zhour, Adem Kilicman

Publication date: 19 February 2008

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

Full work available at URL: https://eudml.org/doc/128706

zbMATH Keywords

inequalities involving matricesHadamard productspositive matrices

Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48) Miscellaneous inequalities involving matrices (15A45)

Related Items (8)

\(k\)-fractional integral inequalities of Hadamard type for exponentially \((s, m)\)-convex functions ⋮ Vector least-squares solutions for coupled singular matrix equations ⋮ RETRACTED: The general (vector) solutions of such linear (coupled) matrix fractional differential equations by using Kronecker structures ⋮ The further generalization on the inequalities for Hadamard products of any number of invertible Hermitian matrices ⋮ On convergents infinite products and some generalized inverses of matrix sequences ⋮ Khatri-Rao products for operator matrices acting on the direct sum of Hilbert spaces ⋮ Some new connections between matrix products for partitioned and non-partitioned matrices ⋮ The representation and approximation for the weighted Minkowski inverse in Minkowski space

Cites Work

• Unnamed Item
• Matrix results on the Khatri-Rao and Tracy-Singh products
• Matrix inequalities for convex functions
• Several inequalities involving Khatri-Rao products of positive semidefinite matrices
• A quantitative version of the observation that the Hadamard product is a principal submatrix of the Kronecker product
• Some Inequalities for Principal Submatrices
• Some inequalities for the Khatri-Rao product of matrices
• Conditions for Positive and Nonnegative Definiteness in Terms of Pseudoinverses
• Matrix theory. Basic results and techniques

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