Best rank one approximation of real symmetric tensors can be chosen symmetric

Best rank one approximation of real symmetric tensors can be chosen symmetric

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摘要 We show that a best rank one approximation to a real symmetric tensor, which in principle can be nonsymmetric, can be chosen symmetric. Furthermore, a symmetric best rank one approximation to a symmetric tensor is unique if the tensor does not lie on a certain real algebraic variety. We show that a best rank one approximation to a real symmetric tensor, which in principle can be nonsymmetric, can be chosen symmetric. Furthermore, a symmetric best rank one approximation to a symmetric tensor is unique if the tensor does not lie on a certain real algebraic variety.

作者 Shmuel FRIEDLAND

机构地区 Department of Mathematics

出处《Frontiers of Mathematics in China》 SCIE CSCD 2013年第1期19-40,共22页 中国高等学校学术文摘·数学（英文）

关键词 Symmetric tensor rank one approximation of tensors uniquenessof rank one approximation Symmetric tensor, rank one approximation of tensors, uniquenessof rank one approximation

分类号 O151.2 [理学—基础数学] TN914.3 [电子电信—通信与信息系统]

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Frontiers of Mathematics in China

2013年第1期

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Best rank one approximation of real symmetric tensors can be chosen symmetric

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