| 高阶张量Pareto-特征值的若干性质 |
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| 引用本文： | 徐凤,凌 晨.高阶张量Pareto-特征值的若干性质[J].运筹学学报,2015,19(3):34-41. |
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| 作者姓名： | 徐凤 凌 晨 |
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| 作者单位： | 1. 杭州电子科技大学数学系，杭州, 310018 |
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| 摘 要： | 考虑高阶张量特征值互补问题,由于求解张量的最大Pareto-特征值是一个NP难问题,关注于Pareto-特征值的估计,并给出若干关于Z-张量和M-张量的Pareto-特征值的性质.
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| 关 键 词： | 高阶张量 特征值互补 Pareto-特征值 非负张量 M-张量 |
| 收稿时间： | 2015-04-18 |
Some properties on Pareto-eigenvalues ofhigher-order tensors |
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| XU Feng,LING Chen.Some properties on Pareto-eigenvalues ofhigher-order tensors[J].OR Transactions,2015,19(3):34-41. |
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| Authors: | XU Feng LING Chen |
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| Institution: | 1. Department of Mathematics, Hangzhou Dianzi University, Hangzhou, 310018, China |
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| Abstract: | We consider the higher-order tensor eigenvalue complementarity problem (TEiCP). Since finding the largest Pareto-eigenvalue of tensor is NP-hard in general, in this paper we focus on studying the estimation of the Pareto-eigenvalue. We also present some properties for Pareto-eigenvalues of Z-tensors and M-tensors. |
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| Keywords: | higher order tensor eigenvalue complementarity Pareto-eigenvalue nonnegative tensor M-tensor |
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