Sufficient conditions for Strassen's additivity conjecture
Sufficient conditions for Strassen's additivity conjecture.
Illinois J. Math.
59
(2015),
no. 4,
1071-1085
- 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.
- arXiv:
- https://arxiv.org/abs/1604.07691
- doi:
- 10.1215/ijm/1488186021