Geodesic
Trace inequalities for positive semidefinite matrices
Discussiones Mathematicae. General Algebra and Applications, Tome 37 (2017) no. 1, pp. 93-104

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Certain trace inequalities for positive definite matrices are generalized for positive semidefinite matrices using the notion of the group generalized inverse.
Keywords: positive semidefinite matrix, group inverse, trace inequalities 
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Choudhury, Projesh Nath; Sivakumar, K.C. Trace inequalities for positive semidefinite matrices. Discussiones Mathematicae. General Algebra and Applications, Tome 37 (2017) no. 1, pp. 93-104. http://geodesic.mathdoc.fr/item/DMGAA_2017_37_1_a6/