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The best rank-one approximation of the symmetric tensor based on the block circulant matrix
Pages: 53-60
Year: Issue:  1
Journal: Operations Research Transactions

Keyword:  对称张量秩-1张量最佳秩-1逼近;
Abstract: 对称张量的最佳秩-1问题是张量研究中非常重要的部分.首先,基于三阶张量的块循环矩阵,提出了求解对称张量最佳秩-1逼近问题的一个新方法.其次,针对求解对称张量的最佳秩-1逼近方法,给出了对称张量的最佳秩-1逼近不变性的一个充要条件,以及逼近误差上界的估计.最后,数值算例表明了上述方法的可行性和误差上界的正确性.
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