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Best rank-k approximations for tensors: generalizing Eckart-Young
Tocino-Sanchez, Alicia(2020-02-03)
Joint work with Jan Draisma and Giorgio Ottaviani. Given a tensor f in a Euclidean tensor space, we are interested in the critical points of the distance function from f to the set of tensors of rank at most k, which we ... -
Tensor Product of Evolution Algebras
Cabrera-Casado, Yolanda; Martin-Barquero, Dolores
; Martin-Gonzalez, Candido
; Tocino-Sanchez, Alicia
(Springer Nature, 2022-12-28)
The starting point of this work is the fact that the class of evolution algebras over a fixed field is closed under tensor product. We prove that, under certain conditions, the tensor product is an evolution algebra if and ...