| 既约随机矩阵 |
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| 引用本文： | 杨载朴,施容华.既约随机矩阵[J].南京理工大学学报(自然科学版),1999,23(3):266-269. |
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| 作者姓名： | 杨载朴 施容华 |
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| 作者单位： | 1. 盐城工学院基础部,盐城,224003
2. 南京理工大学成人教育学院,南京,210094 |
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| 摘 要： | 该文给出了既约随机矩阵的关于谱和特征值的若干性质，２个既约随机矩阵Ｋｒｏｎｅｃｋｅｒ积的性质，既约双随机矩阵乘积和幂的性质，给出矩阵的幂是既约矩阵的充要条件。该文研究了Ｆ族中矩阵的特征值特征向量和谱半径等有关性质
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| 关 键 词： | 随机矩阵 既约矩阵 特征值 双随机矩阵 Kronecker积 |
| 修稿时间： | 1998－06－18 |
The Reducible and Stochastic Matrices |
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| Yang Zaipu,Shi Ronghua.The Reducible and Stochastic Matrices[J].Journal of Nanjing University of Science and Technology(Nature Science),1999,23(3):266-269. |
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| Authors: | Yang Zaipu Shi Ronghua |
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| Abstract: | This paper presents some properties of spectra and characteristic values of reducible and stochastic matrices,Kronecker product of two reducible and stochastic matrices,product and power of reducible double stochastic matrices,and the power of matrices is the necessary and sufficient conditions of reducibe matrices.Characteristic vectors of characteristic values and spectral vectors in the matrices of F family are studied. |
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| Keywords: | stochastic matrices reducible matrices characteristic values bistochastic matrces Kronecker product |
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