ON MATRIX TRACE INEQUALITIES AND RELATED TOPICS FOR PRODUCTS OF HERMITIAN MATRICES

[摘要] Alternative proofs of some simple matrix trace inequalities of Bellman [in ''General Inequalities 2, Proceedings, 2nd International Conference on General Inequalities'' (E. F. Beckenbach, Ed.), pp. 89-90, Birkhauser, Basel, 1980], Neudecker [J. Math, Anal. Appl. 166 (1992), 302-303], and Yang [J. Math. Anal. Appl. 133 (1988), 573-574] are considered and further properties of products of Hermitian and positive (semi)definite matrices are investigated. (C) 1994 Academic Press, Inc.

[发布日期] 1994-12-15