A trace inequality for matrix product

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1995Publisher:Institute of Electrical and Electronics Engineers (IEEE)Journal:IEEE Transactions on Automatic Control, volume 40, pages 1,500-1,501 (issn: 0018-9286,

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Authors: Jean B. Lasserre;

doi: 10.1109/9.402252

A trace inequality for matrix product

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Abstract

A well-known trace inequality for positive semidefinite matrices is extended to arbitrary Hermitian matrices. When using this result for the product of two matrices, when only one is Hermitian, the author improves a recent trace inequality by \textit{Y. Fang}, \textit{K. A. Loparo} and \textit{X. Fang} [ibid. 39, No. 12, 2489-2490 (1994; Zbl 0825.93107)].

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Keywords

Miscellaneous inequalities involving matrices, Hermitian matrices, trace inequality, positive semidefinite matrices, matrix product

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