Decomposition algorithms for tensors and polynomials
Algebraic Geometry
2021-07-12 v1 Mathematical Software
Symbolic Computation
Abstract
We give algorithms to compute decompositions of a given polynomial, or more generally mixed tensor, as sum of rank one tensors, and to establish whether such a decomposition is unique. In particular, we present methods to compute the decomposition of a general plane quintic in seven powers, and of a general space cubic in five powers; the two decompositions of a general plane sextic of rank nine, and the five decompositions of a general plane septic. Furthermore, we give Magma implementations of all our algorithms.
Cite
@article{arxiv.2107.04097,
title = {Decomposition algorithms for tensors and polynomials},
author = {Antonio Laface and Alex Massarenti and Rick Rischter},
journal= {arXiv preprint arXiv:2107.04097},
year = {2021}
}
Comments
19 pages