Matrix results on the Khatri-Rao and Tracy-Singh products

DOI10.1016/S0024-3795(98)10209-4zbMath0937.15015WikidataQ56428791 ScholiaQ56428791MaRDI QIDQ1300835

Shuangzhe Liu

Publication date: 28 May 2000

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

zbMATH Keywords

Hadamard productmatrix inequalityMoore-Penrose inverseKronecker productKhatri-Rao productTracy-Singh productAlbert's theorem

Mathematics Subject Classification ID

Miscellaneous inequalities involving matrices (15A45) Algebraic systems of matrices (15A30) Multilinear algebra, tensor calculus (15A69)

Related Items (20)

Several Kantorovich Inequalities Involving Tracy-Singh Product ⋮ Minimum sensitivity realizations of networks of linear systems ⋮ Unnamed Item ⋮ Some Recent Developments in Spectrahedral Computation ⋮ Further results on the vecd operator and its applications ⋮ Daily soil temperature modeling using ‘panel-data’ concept ⋮ 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 ⋮ Extension and generalization inequalities involving the Khatri-Rao product of several ⋮ Conic stability of polynomials and positive maps ⋮ Smooth-CAR mixed models for spatial count data ⋮ Some statistical properties of Hadamard products of random matrices. ⋮ A Perron-Frobenius theory for block matrices associated to a multiplex network ⋮ On distributed reactive power and storage control on microgrids ⋮ Spatially Varying Coefficient Model for Neuroimaging Data With Jump Discontinuities ⋮ Unnamed Item ⋮ Conic stability of polynomials ⋮ Several inequalities involving Khatri-Rao products of positive semidefinite matrices ⋮ An Oppenheim type determinantal inequality for the Khatri-Rao product ⋮ The equivalent form of a matrix inequality and its application

Cites Work

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• Some further results on Hermitian-matrix inequalities
• Hadamard products and multivariate statistical analysis
• Inference in Linear Time Series Models with some Unit Roots
• Albert's theorem applied to problems of efficiency and MSE superiority
• Limited Information Likelihood Analysis Of Survey Data
• Co-integration, Error Correction, and the Econometric Analysis of Non-Stationary Data
• Conditions for Positive and Nonnegative Definiteness in Terms of Pseudoinverses
• A new matrix product and its applications in partitioned matrix differentiation

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