Structure analysis of the best rank one approximation of a tensor

来源 :2016年张量和矩阵学术研讨会(International conference on Tensor, Matrix a | 被引量 : 0次 | 上传用户:peiyingbin
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  The best rank one approximation problem takes an important position in the research of tensors. In this talk, I will present a canonical form of a tensor through a specific multi-linear orthonormal transformation. Then, I focus my attention on some basic properties related to the best rank one approximation, such as rank, uniqueness, invariance of perturbation, and so on. In the process, some examples will be given to illustrate the correctness of the results obtained.
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