| 亚正定矩阵的加权广义范数及其性质 |
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| 引用本文： | 时统业,邓捷坤.亚正定矩阵的加权广义范数及其性质[J].数学学习,2011(4):47-50. |
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| 作者姓名： | 时统业 邓捷坤 |
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| 作者单位： | 海军指挥学院浦口分院,江苏南京211800 |
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| 摘 要： | 给出关于亚正定矩阵的加权广义范数的定义,它是椭圆范数和Frobenius范数的推广;给出加权广义范数与Frobenius范数的一个不等式关系;研究在特殊情形下加权广义范数的一些简单性质.
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| 关 键 词： | 范数 亚正定矩阵 特征值 |
Weighted Norm for Positive Semidefinite Matrixes |
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| SHI Tong-ye,Deng Jie-kun.Weighted Norm for Positive Semidefinite Matrixes[J].Studies In College Mathematics,2011(4):47-50. |
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| Authors: | SHI Tong-ye Deng Jie-kun |
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| Institution: | (Pukou Institute of Naval Command College, Nanjing 211800, PRC) |
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| Abstract: | This paper defines a weighted norm for metapositive definite matrixes which generalizes the elliptic norm and Frobnius norm. A relation between the weighted norm and Frobnius norm is discussed. For some special cases, basic properties of the weighted norm are obtained. |
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| Keywords: | norm metapositive definite matrix eigenvalue |
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