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

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We establish a connection between the Khatri-Rao and Tracy-Singh products introduced by Khatri and Rao (C.G. Khatri, C.R. Rao, Sankhya 30 (1968) 167-180) and Tracy and Singh (D.S. Tracy, R.P. Singh, Statistica Neerlandica 26 (1972) 143-157), respectively, and present further results including matrix equalities and inequalities involving the two products. Also, we give two statistical applications.

Original languageEnglish
Pages (from-to)267-277
Number of pages11
JournalLinear Algebra and Its Applications
Issue number1
Publication statusPublished - 1 Mar 1999
Externally publishedYes


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