A Matrix Trace Inequality

✍ Scribed by Xin Min Yang; Xiao Qi Yang; Kok Lay Teo

• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 56 KB
• Volume: 263
• Category: Article
• ISSN: 0022-247X
• DOI: 10.1006/jmaa.2001.7613

✦ Synopsis

In this note, the matrix trace inequality for positive semidefinite matrices A and B, tr AB m ≤ tr A 2m tr B 2m 1/2 is established, where m is an integer. The above inequality improves the result given by Yang (