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三阶张量T-QR分解

于 2022-10-02 发布 文件大小:6.84 kB
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matlab练习程序(三阶张量T-QR分解) 这里所谓的张量和黎曼那里的张量是不一样的,那个张量更多的用在物理上,这个张量就是矩阵的扩展。比如零阶张量就是数,一阶张量就是向量,二阶张量就是矩阵,三阶四阶就是更高维的数的集合。这个领域现在在数学上还都是很新的东西,矩阵的秩我们都知道怎么求,但是三维的张量或更高维的张量的秩现在在数学上也没有结果。至于张量的奇异值分解也只是也只是用很早的如用HOSVD来处理,我感觉这并不完全合适,新的分解算法就连老美也都没研究出来,从二维到多维的确有很多基础的理论都不适用了,像两个张量相乘这样基础的算法,现在虽然有,但我感觉也不是通用的,还要继续改进。

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