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高阶张量Pareto-特征值的若干性质（英文） 被引量：1

Some properties on Pareto-eigenvalues of higher-order tensors
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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. 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.
作者 徐凤 凌晨
机构地区 杭州电子科技大学数学系
出处 《运筹学学报》 CSCD 北大核心 2015年第3期34-41,共8页 Operations Research Transactions
基金 supported by the Natural Science Foundation of China(Grant No.11171083 and 11301123) the Zhejiang Provincial National Science Foundation of China(Grant No.LZ14A010003)
关键词 高阶张量 特征值互补 Pareto-特征值 非负张量 M-张量 higher order tensor, eigenvalue complementarity, Pareto-eigenvalue, non-negative tensor, M-tensor
分类号 O221.1 [理学—运筹学与控制论]
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参考文献13

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运筹学学报
2015年 第3期

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