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 new 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.
CITATION STYLE
Laface, A., Massarenti, A., & Rischter, R. (2023). Decomposition Algorithms for Tensors and Polynomials. SIAM Journal on Applied Algebra and Geometry, 7(1), 264–290. https://doi.org/10.1137/21M1453712
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