lk,s-Singular values and spectral radius of rectangular tensors

被引：0
作者：
Chen Ling
Liqun Qi
机构：
[1] Hangzhou Dianzi University,School of Science
[2] The Hong Kong Polytechnic University,Department of Applied Mathematics
来源：
Frontiers of Mathematics in China | 2013年 / 8卷
关键词：
Nonnegative rectangular tensor; -singular value; -spectral radius; irreducibility; weak irreducibility; 15A18; 15A69; 90C30;
D O I：
暂无
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学科分类号：
摘要：
The real rectangular tensors arise from the strong ellipticity condition problem in solid mechanics and the entanglement problem in quantum physics. In this paper, we study the singular values/vectors problem of real nonnegative partially symmetric rectangular tensors. We first introduce the concepts of lk,s-singular values/vectors of real partially symmetric rectangular tensors. Then, based upon the presented properties of lk,s-singular values /vectors, some properties of the related lk,s-spectral radius are discussed. Furthermore, we prove two analogs of Perron-Frobenius theorem and weak Perron-Frobenius theorem for real nonnegative partially symmetric rectangular tensors.
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页码：63 / 83
页数：20
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