Relation between Eigenvalues of Matrix Sum and Matrix Product
Received:January 15, 2002  
Key Words: majorization inequality   matrix   eigenvalue   trace.  
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Author NameAffiliation
XI Bo-yan Dept. of Math.
Inner Mongolia University for Nationalities
Tongliao
China 
ZHANG Xiao-ming Dept. of Math.
Beijing Normal University
Beijing
China 
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Abstract:
      We prove some equivalence between the trace and the eigenvalue of the product of two matrices, then extend them to the case of the sum of two matrices.
Citation:
DOI:10.3770/j.issn:1000-341X.2004.04.016
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