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| 摘要: |
| 本文研究了矩阵不等式的问题.利用两个新的标量不等式,得到了矩阵的加权几何均值不等式和Hilbert-Schmidt范数不等式,所得的结果改进了相应的不等式. |
| 关键词: 标量不等式 加权几何均值不等式 正定矩阵 Hilbert-Schmidt范数 |
| DOI： |
| 分类号:O151.21 |
| 基金项目:Supported by the Fund for Fostering Talents in Kunming University of Science and Technology(KKZ3202007048); National Natural Science Foundation of China(11801240). |
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| SOME IMPROVED INEQUALITIES FOR MATRICES |
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HU Xing-kai,LIU Wu-shuang
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| Abstract: |
| In this paper, matrix inequalities are studied. Using two new scalar inequalities, the weighted geometric mean inequalities and Hilbert-Schmidt norm inequalities for matrices are obtained, the results are refinements of some corresponding inequalities. |
| Key words: scalar inequalities weighted geometric mean inequalities positive definite ma- trix Hilbert-Schmidt norm |
