Bellman′s Inequality (II)
Received:May 05, 1994  
Key Words: definite positive matrices   idempotent matrices   trace.  
Fund Project:
Author NameAffiliation
Xu Changqing Dept. of Math.
Univ. of Science and Technology of China
Hefei 230026 
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Abstract:
      This article concerns a conjecture:ｔｒ（ＡＢ）ｍ≤ｔｒ（ＡｍＢｍ）which was put forward by Bellman R . We prove it under the additional condition that A∈Sk and B∈Ik. We also investigate the case when A,B are nonnegative.
Citation:
DOI:10.3770/j.issn:1000-341X.1997.01.007
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