Geodesic
The equality cases for the inequalities of Oppenheim and Schur for positive semi-definite matrices
Czechoslovak Mathematical Journal, Tome 59 (2009) no. 1, pp. 197-206.

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In this paper, necessary and sufficient conditions for equality in the inequalities of Oppenheim and Schur for positive semidefinite matrices are investigated.
Classification : 15A45, 15A57
Keywords: Oppenheim's inequality; Schur's inequality; positive semidefinite matrix; Hadamard product 
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     title = {The equality cases for the inequalities of {Oppenheim} and {Schur} for positive semi-definite matrices},
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Zhang, Xiao-Dong; Ding, Chang-Xing. The equality cases for the inequalities of Oppenheim and Schur for positive semi-definite matrices. Czechoslovak Mathematical Journal, Tome 59 (2009) no. 1, pp. 197-206. http://geodesic.mathdoc.fr/item/CMJ_2009__59_1_a13/