| 酉不变范数的若干结论 |
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| 引用本文： | 张丽娟,任芳国.酉不变范数的若干结论[J].纺织高校基础科学学报,2010,23(4):498-501. |
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| 作者姓名： | 张丽娟 任芳国 |
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| 作者单位： | 陕西师范大学数学与信息科学学院,陕西西安710062 |
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| 基金项目： | 国家自然科学基金，陕西师范大学重点基金 |
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| 摘 要： | 利用n阶矩阵A的奇异值分解理论及酉不变范数和半正定矩阵的基本性质,给出了n阶矩阵或半正定矩阵A在酉不变范数下的刻画,得到了关于酉不变范数的一般矩阵乘积不等式,并将其推广至Hadmard积,证明了关于酉不变范数的矩阵Hadmard积的一些不等式.
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| 关 键 词： | 奇异值分解 酉不变范数 Hadmard积 半正定矩阵 |
Some results of unitary invariant norm |
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| ZHANG Li-juan,REN Fang-guo.Some results of unitary invariant norm[J].Basic Sciences Journal of Textile Universities,2010,23(4):498-501. |
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| Authors: | ZHANG Li-juan REN Fang-guo |
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| Affiliation: | ( College of Mathematics and Information Science, Shaanxi Normal University, Xi＇an 710062,China) |
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| Abstract: | Let A be a matrix in Mn. Then the matrix or the semidefmite matrix A is studied by the singular value decomposition and some basic properties of the unitary invariant norm and semidefmite matrix. Inequalities about the common product of matrices under the unitary invariant norm are obtained, some of them are generalized to the Hadmard product . |
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| Keywords: | singular value decamposition unitary invariant norm Hadmard product semidefinite matrices |
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