| 关于《复正定矩阵的行列式不等式》一文的注记 |
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| 引用本文： | 何淦瞳.关于《复正定矩阵的行列式不等式》一文的注记[J].数学研究与评论,2010,30(3):567-570. |
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| 作者姓名： | 何淦瞳 |
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| 作者单位： | 贵州大学数学系, 贵州 贵阳 550025 |
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| 基金项目： | 贵州省科学技术厅自然科学基金(Grant No.J[2006]2002). |
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| 摘 要： | 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 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.
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| 关 键 词： | positive semi-definite matrix determinantal inequality Hermitian part. |
| 收稿时间： | 2009/2/21 0:00:00 |
| 修稿时间： | 2009/9/15 0:00:00 |
A Note on the Paper ``Some Determinantal Inequalities on Complex Positive Definite Matrices" |
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| Gan Tong HE.A Note on the Paper ``Some Determinantal Inequalities on Complex Positive Definite Matrices"[J].Journal of Mathematical Research and Exposition,2010,30(3):567-570. |
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| Authors: | Gan Tong HE |
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| Institution: | Department of Mathematics, Guizhou University, Guizhou 550025, P. R. China |
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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. |
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| Keywords: | positive semi-definite matrix determinantal inequality Hermitian part |
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