Tensor ranks for the inversion of tensor-product binomials |
| |
| Authors: | Eugene Tyrtyshnikov |
| |
| Institution: | Institute of Numerical Mathematics, Russian Academy of Sciences, Gubkin Street, 8, Moscow 119333, Russian Federation |
| |
| Abstract: | 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  . |
| |
| Keywords: | 15A12 65F10 65F15 |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
