Abstract
We give a sufficient condition for the strong symmetric version of Strassen’s additivity conjecture: the Waring rank of a sum of forms in independent variables is the sum of their ranks, and every Waring decomposition of the sum is a sum of decompositions of the summands. We give additional sufficient criteria for the additivity of Waring ranks and a sufficient criterion for additivity of cactus ranks and decompositions.
| Original language | English |
|---|---|
| Pages (from-to) | 1071-1085 |
| Number of pages | 15 |
| Journal | Illinois Journal of Mathematics |
| Volume | 59 |
| Issue number | 4 |
| DOIs | |
| State | Published - 1 Dec 2015 |