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| 摘要: |
| 本文研究了矩阵酉不变范数不等式的问题.在v∈[0,1]时,利用函数φ(v)=||AvXB1-v+A1-vXBv||的凸性,推广了两个酉不变范数不等式. |
| 关键词: 半正定矩阵 凸函数 酉不变范数 |
| DOI： |
| 分类号:O151.21 |
| 基金项目:昆明理工大学引进人才科研启动基金项目 (KKZ3202007048); 国家自然科学基金项目(11801240). |
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| GENERALIZATIONS OF TWO UNITARILY INVARIANT NORM INEQUALITIES |
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HU Xing-kai,YI Yuan,LIU Wu-shuang
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| Abstract: |
| In this paper, unitarily invariant norm inequalities for matrices are studied. Using the convexity of φ(v)=||AvXB1-v+A1-vXBv|| on the interval [0, 1], two unitarily invariant norm inequalities for matrices are generalized. |
| Key words: positive semidefinite matrices convex function unitarily invariant norms |
