The equivalent form of a matrix inequality and its application

DOI10.1007/BF02831949zbMath1089.15018OpenAlexW2081965438MaRDI QIDQ816017

Xiaoxia Feng, Zhong-Peng Yang

Publication date: 20 February 2006

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

Full work available at URL: https://doi.org/10.1007/bf02831949

zbMATH Keywords

Hermitian matrixMoore-Penrose inversepositive semidefinite matrixLöwner orderingKhatri-Rao productMatrix inequality

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Positive matrices and their generalizations; cones of matrices (15B48) Miscellaneous inequalities involving matrices (15A45)

Related Items (1)

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

Cites Work

• Block-matrix generalizations of Schur's basic theorems on Hadamard products
• Matrix results on the Khatri-Rao and Tracy-Singh products
• Several inequalities involving Khatri-Rao products of positive semidefinite matrices
• Some inequalities on generalized Schur complements
• A quantitative version of the observation that the Hadamard product is a principal submatrix of the Kronecker product
• Matrix Analysis
• Some inequalities for the Khatri-Rao product of matrices
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