Several inequalities involving Khatri–Rao products of positive semidefinite matrices

Research output: Contribution to journalArticle

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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Positive Semidefinite Matrix
Partitioned Matrix
Hadamard Product
Kronecker Product

Cite this

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title = "Several inequalities involving Khatri–Rao products of positive semidefinite matrices",
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.",
keywords = "Hadamard product, Khatri–Rao product, Kronecker product, Matrix inequality, Moore–Penrose inverse, Tracy–Singh product",
author = "Shuangzhe Liu",
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Several inequalities involving Khatri–Rao products of positive semidefinite matrices. / Liu, Shuangzhe.

In: Linear Algebra and Its Applications, Vol. 354, No. 1-3, 15.10.2002, p. 175-186.

Research output: Contribution to journalArticle

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AU - Liu, Shuangzhe

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KW - Khatri–Rao product

KW - Kronecker product

KW - Matrix inequality

KW - Moore–Penrose inverse

KW - Tracy–Singh product

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