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Relation between Eigenvalues of Matrix Sum and Matrix Product
Received:January 15, 2002
Key Words
:
majorization inequality
matrix
eigenvalue
trace.
Fund Project
:
Author Name
Affiliation
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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:
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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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