Id. Coope, ON MATRIX TRACE INEQUALITIES AND RELATED TOPICS FOR PRODUCTS OF HERMITIAN MATRICES, Journal of mathematical analysis and applications, 188(3), 1994, pp. 999-1001
Alternative proofs of some simple matrix trace inequalities of Bellman
[in ''General Inequalities 2, Proceedings, 2nd International Conferen
ce on General Inequalities'' (E. F. Beckenbach, Ed.), pp. 89-90, Birkh
auser, Basel, 1980], Neudecker [J. Math, Anal. Appl. 166 (1992), 302-3
03], and Yang [J. Math. Anal. Appl. 133 (1988), 573-574] are considere
d and further properties of products of Hermitian and positive (semi)d
efinite matrices are investigated. (C) 1994 Academic Press, Inc.