Inequalities involving Khatri-Rao products of Hermitian matrices

Authors:
Zhong-Peng Yang;Xian Zhang;Chong-Guang Cao
Affiliations:
Department of Mathematics, Putian College, Putian, Fujian, 351100, China;Department of Mathematics, Heilongjiang University, Harbin, Heilongjiang, 150080, P.R.C.;Department of Mathematics, Heilongjiang University, Harbin, Heilongjiang, 150080, P.R.C.
Venue:
The Korean Journal of Computational & Applied Mathematics
Year:
2002

Citing 1
Cited 1

Inequalities for the Hadamard Product of Matrices

SIAM Journal on Matrix Analysis and Applications

Two inequalities involving Hadamard products of positive semi-definite Hermitian matrices

The Korean Journal of Computational & Applied Mathematics

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Abstract

Recently, several inequalities involving Khatri-Rao products of two four partitioned blocks positive definite real symmetry matrices are established by Liu in [Lin. Alg. Appl. 289(1999):267-277]. We extend these results in two ways. First, the results are extended to two any partitioned blocks Hermitian matrices. Second, necessary and sufficient conditions under which these inequalities become equalities are presented.