Tensor ranks for the inversion of tensor-product binomials
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摘要
The main result reads: if a nonsingular matrix A of order n=pq is a tensor-product binomial with two factors then the tensor rank of A−1 is bounded from above by min{p,q}. The estimate is sharp, and in the worst case it amounts to n.
论文关键词：15A12,65F10,65F15,Tensor ranks,Kronecker product,Low-rank matrices,Inverse matrices,Multilevel matrices,Toeplitz matrices
论文评审过程：Received 8 February 2008, Available online 8 February 2010.
论文官网地址：https://doi.org/10.1016/j.cam.2010.02.006
