| A Note on the Paper ``Some Determinantal Inequalities on Complex Positive Definite Matrices" |
| Received:February 21, 2009 Revised:September 15, 2009 |
| Key Words:
positive semi-definite matrix determinantal inequality Hermitian part.
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| Fund Project:Supported by the Natural Science Foundation of Science and Technology Office of Guizhou Province (Grant No.J[2006]2002). |
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| Abstract: |
| By presenting a counterexample, the author of paper (ZHAO Li-feng. J. Math. Res. Exposition, 2007, 27(4): 949--954) declared that some assertions in papers of L\"{U} Yun-xia, ZHANG Shu-qing (J. Math. Res. Exposition, 1999, 19(3): 598--600), HE Gan-tong (J. Math. Res. Exposition, 2002, 22(1): 79--82) and YUAN Hui-ping (J. Math. Res. Exposition, 2001, 21(3): 464--468) are wrong. In this note, we point out that the counterexample is wrong. Further discussion on these assertions and some related results are also given. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2010.03.023 |
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