STAR PARTIAL ORDERING OF k - NORMAL MATRICES
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Abstract
Let  denote the set of all complex  matrices. By the star partial ordering . So  means that  and . We find several characterizations for  in the case of normal matrices. As an application, we study how  relates to . The results can be extended to study how  relates to , where  is an integer.
AMS Classification: 15A45, 15A18
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