205 citations · 676 across the 36 of their papers we have counts for
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Hankel and Multiplication Tensor Completions for Cactus Rank
Alessandra Bernardi, Joachim Jelisiejew, Oriol Reig Fité
We show that the Hankel flat extension formulation of the cactus algorithm is equivalent to a completion problem for multiplication tensors of Artinian Gorenstein algebras. The unk…
Waring, tangential and cactus decompositions
Alessandra Bernardi, Daniele Taufer
(EN) We revise the famous algorithm for symmetric tensor decomposition due to Brachat, Comon, Mourrain and Tsidgaridas. Afterwards, we generalize it in order to detect possibly dif…
On polynomials with given Hilbert function and applications
Alessandra Bernardi, Joachim Jelisiejew, Pedro Macias Marques +1
Using Macaulay's correspondence we study the family of Artinian Gorenstein local algebras with fixed symmetric Hilbert function decomposition. As an application we give a new lower…