Matrix results on the Khatri-Rao and Tracy-Singh products
type: Item
instance of: scholarly article
title: Matrix results on the Khatri-Rao and Tracy-Singh products
zbMATH Open document ID: 0937.15015
DOI: 10.1016/S0024-3795(98)10209-4
author: Shuangzhe Liu
published in: Linear Algebra and its Applications
publication date: 2000-05-28T00:00:00Z
review text: \textit{C. G. Khatri} and \textit{C. R. Rao }[Sankhya 30, 167-180 (1968; Zbl 0176.49004)] and \textit{D. S. Tracy} and \textit{R. P. Singh} [Statistica Neerlandica 26, 143-157 (1972; Zbl 0267.15009)] introduced products of partitioned matrices related to Kronecker and Hadamard products. In this paper, the author studies these products and obtains certain inequalities. He then applies these results to two statistical problems.
Mathematics Subject Classification ID: 15A45
Mathematics Subject Classification ID: 15A30
Mathematics Subject Classification ID: 15A69
zbMATH DE Number: 1331305
zbMATH Keywords: Hadamard product
zbMATH Keywords: Kronecker product
zbMATH Keywords: Khatri-Rao product
zbMATH Keywords: Tracy-Singh product
zbMATH Keywords: Albert's theorem
zbMATH Keywords: Moore-Penrose inverse
zbMATH Keywords: matrix inequality
Wikidata QID: Q56428791
reviewed by: Robert Guralnick
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1331305