| 弧赋权有向图与矩阵的奇异能量 |
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| 引用本文： | 刘月,王迪吉,林启忠.弧赋权有向图与矩阵的奇异能量[J].新疆师范大学学报(自然科学版),2012,31(3):16-18. |
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| 作者姓名： | 刘月 王迪吉 林启忠 |
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| 作者单位： | 1. 福州大学数学与计算机科学学院,福建福州,350108
2. 新疆师范大学数学科学学院,新疆乌鲁木齐,830054 |
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| 摘 要： | 文章讨论了图与矩阵奇异能量的函数一般性质,证明了奇异能函数是一种矩阵范数。并给出了文献10]中定理1的几何解释。
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| 关 键 词： | 弧赋权有向图 方阵 能量 特征值 奇异值 |
Singular Energy of Arc-weighted digraphs and Matrices |
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| LIU Yue,WANG Di-ji,LIN Qi-zhong.Singular Energy of Arc-weighted digraphs and Matrices[J].Journal of Xinjiang Normal University(Natural Sciences Edition),2012,31(3):16-18. |
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| Authors: | LIU Yue WANG Di-ji LIN Qi-zhong |
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| Institution: | 1 (1.College of Mathematics and Computer Science,Fuzhou University,Fuzhou,Fujian 350108,China; 2.School of Mathematical Science,Xinjiang Normal University,Urumqi,Xinjiang 830053,China |
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| Abstract: | The general property of singular energy function of arc weighted(di)graphs and matrices is discussed,it is shown the singular energy function is a matrix norm.A geometric explanation of Theorem 1 in is given. |
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| Keywords: | Arc-weighted digraph Square matrix Energy Eigenvalue Singular value |
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