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Volume 9, Issue 1, Article 4 |
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On Rank Subtractivity Between Normal Matrices
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Authors: |
Jorma K. Merikoski, Xiaoji Liu, |
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Keywords:
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Rank subtractivity, Minus partial ordering, Star partial ordering, Sharp partial ordering, Normal matrices, EP matrices. |
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Date Received:
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13/07/2007 |
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Date Accepted:
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05/02/2008 |
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Subject Codes: |
15A45, 15A18.
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Editors: |
Fuzhen Zhang, |
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Abstract: |
The rank subtractivity partial ordering is defined on  ( ) by  , and the star partial ordering by  . If  and  are normal, we characterize  . We also show that then  . Finally, we remark that some of our results follow from well-known results on EP matrices.
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