A tensor T, in a given tensor space, is said to be h-identifiable if it
admits a unique decomposition as a sum of h rank one tensors. A criterion for
h-identifiability is called effective if it is satisfied in a dense, open
subset of the set of rank h tensors. In this paper we give effective
h-identifiability criteria for a large class of tensors. We then improve
these criteria for some symmetric tensors. For instance, this allows us to give
a complete set of effective identifiability criteria for ternary quintic
polynomial. Finally, we implement our identifiability algorithms in Macaulay2.Comment: 12 pages. The identifiability criteria are implemented, in Macaulay2,
in the ancillary file Identifiability.m