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Nuclear Norm Under Tensor Kronecker Products
arXiv - CS - Numerical Analysis Pub Date : 2020-01-20 , DOI: arxiv-2001.07202 Robert Cochrane
arXiv - CS - Numerical Analysis Pub Date : 2020-01-20 , DOI: arxiv-2001.07202 Robert Cochrane
Derksen proved that the spectral norm is multiplicative with respect to
vertical tensor products (also known as tensor Kronecker products). We will use
this result to show that the nuclear norm and other norms of interest are also
multiplicative with respect to vertical tensor products.
中文翻译:
张量下的核规范 Kronecker 产品
Derksen 证明了谱范数对于垂直张量积(也称为张量 Kronecker 积)是可乘的。我们将使用这个结果来表明核范数和其他感兴趣的范数对于垂直张量积也是乘法的。
更新日期:2020-02-19
中文翻译:
张量下的核规范 Kronecker 产品
Derksen 证明了谱范数对于垂直张量积(也称为张量 Kronecker 积)是可乘的。我们将使用这个结果来表明核范数和其他感兴趣的范数对于垂直张量积也是乘法的。