| 随机矩阵的范数 |
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| 引用本文： | 任芳国,高莹.随机矩阵的范数[J].东北师大学报(自然科学版),2012(1):28-31. |
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| 作者姓名： | 任芳国 高莹 |
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| 作者单位： | 陕西师范大学数学与信息科学学院 |
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| 基金项目： | 国家自然科学基金资助项目(10571113);陕西省自然科学基金资助项目(2011JM1007) |
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| 摘 要： | 利用随机矩阵的特性及不等式的性质,讨论了n阶随机矩阵的范数,获得了随机矩阵1-范数,2-范数,∞-范数及p-范数的不等式,且给出了1-范数,2-范数及p-范数达到界值的充分必要条件,为随机矩阵的应用奠定了数学基础.
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| 关 键 词： | 随机矩阵 双随机矩阵 1-范数 2-范数 p-范数 |
Norms of stochastic matrices |
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| REN Fang-guo,GAO Ying.Norms of stochastic matrices[J].Journal of Northeast Normal University (Natural Science Edition),2012(1):28-31. |
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| Authors: | REN Fang-guo GAO Ying |
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| Institution: | (College of Mathematics and Information Science,Shanxi Normal University,Xi’an 710062,China) |
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| Abstract: | The norm of stochastic matrix by using the characteristics of stochastic matrix and the properties of inequality is studied.The bounds of ∞-norm,1-norm,2-norm and p-norm about stochastic matrix are obtained and the sufficient and necessary conditions are given when those bounds are attained.Consequently,these results can establish the mathematics foundation for the application of stochastic matrix. |
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| Keywords: | stochastic matrix doubly stochastic matrix 1-norm 2-norm p-norm |
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