This paper is a survey, with full proofs, of results about the problem of how to minimally represent certain kinds of tensors as a sum of tensors of a prescribed type. In particular we consider the case of decomposable tensors.
On the rank of tensors, via secant varieties and fat points
CATALISANO, MARIA VIRGINIA;GERAMITA, ANTHONY VITO;
2002-01-01
Abstract
This paper is a survey, with full proofs, of results about the problem of how to minimally represent certain kinds of tensors as a sum of tensors of a prescribed type. In particular we consider the case of decomposable tensors.
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