On the uniqueness and non-uniqueness of the positive Z-eigenvector for transition probability tensors

On the uniqueness and non-uniqueness of the positive Z-eigenvector for transition probability tensors
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DOI:
10.1016/j.jmaa.2013.04.019
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发表时间:
2013-12
影响因子:
1.3
通讯作者:
Kung-Ching Chang;Tan Zhang
Kung-Ching Chang;Tan Zhang
中科院分区:
数学3区
文献类型:
--
作者:
Kung-Ching Chang;Tan Zhang

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研究了跃迁概率张量的基本性质。我们研究了这类张量保证正z特征向量唯一性的充分条件。我们使用了三种不同的方法:收缩映射、单调算子和不动点的browwer索引。
We study the basic properties of transition probability tensors. We investigate sufficient conditions for this class of tensors to ensure the uniqueness of the positive Z-eigenvector. We use three different methods: contraction mappings, monotone operators, and the Brouwer index of fixed points.