Several inequalities involving Khatri–Rao products of positive semidefinite matrices

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21 Citations (Scopus)

Abstract

The Khatri–Rao and Tracy–Singh products for partitioned matrices are viewed as generalized Hadamard and generalized Kronecker products, respectively. Based on the connection between the Khatri–Rao and Tracy–Singh products, we establish new inequalities involving Khatri–Rao products of positive semidefinite matrices. The results lead to inequalities involving Hadamard products, as a special case.

Original languageEnglish
Pages (from-to)175-186
Number of pages12
JournalLinear Algebra and Its Applications
Volume354
Issue number1-3
DOIs
Publication statusPublished - 15 Oct 2002
Externally publishedYes

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