A Matrix Trace Inequality

A Matrix Trace Inequality

In this note, the matrix trace inequality for positive semidefinite matrices A and B,tr(AB)m≤{tr(A)2mtr(B)2m}1/2,is established, where m is an integer. The above inequality improves the result given by Yang (J. Math. Anal. Appl.250 (2000), 372–374).

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Veröffentlicht in:Journal of mathematical analysis and applications 2001-11, Vol.263 (1), p.327-331
Hauptverfasser: Min Yang, Xin, Qi Yang, Xiao, Lay Teo, Kok
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Category theory, homological algebra
Exact sciences and technology
Mathematical analysis
Mathematics
Real functions
Sciences and techniques of general use
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Zusammenfassung:In this note, the matrix trace inequality for positive semidefinite matrices A and B,tr(AB)m≤{tr(A)2mtr(B)2m}1/2,is established, where m is an integer. The above inequality improves the result given by Yang (J. Math. Anal. Appl.250 (2000), 372–374).
ISSN:0022-247X
1096-0813
DOI:10.1006/jmaa.2001.7613