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Geometric simplicity of spectral radius of nonnegative irreducible tensors |
Yuning YANG, Qingzhi YANG( ) |
| School of Mathematical Sciences and LPMC, Nankai University, Tianjin 300071, China |
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Abstract We study the real and complex geometric simplicity of nonnegative irreducible tensors. First, we prove some basic conclusions. Based on the conclusions, the real geometric simplicity of the spectral radius of an evenorder nonnegative irreducible tensor is proved. For an odd-order nonnegative irreducible tensor, sufficient conditions are investigated to ensure the spectral radius to be real geometrically simple. Furthermore, the complex geometric simplicity of nonnegative irreducible tensors is also studied.
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| Keywords
Nonnegative irreducible tensor
Perron-Frobenius theorem
geometrically simple
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Corresponding Author(s):
YANG Qingzhi,Email:qz-yang@nankai.edu.cn
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Issue Date: 01 February 2013
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