TY - JOUR
A2 - Soto, Ricardo L.
AU - Ballico, Edoardo
AU - Bernardi, Alessandra
PY - 2013
DA - 2013/03/21
TI - Real and Complex Rank for Real Symmetric Tensors with Low Ranks
SP - 794054
VL - 2013
AB - We study the case of a real homogeneous polynomial P whose minimal real and complex decompositions in terms of powers of linear forms are different. We prove that if the sum of the complex and the real ranks of P is at most 3deg(P)-1, then the difference of the two decompositions is completely determined either on a line or on a conic or two disjoint lines.
SN - 2314-4106
UR - https://doi.org/10.1155/2013/794054
DO - 10.1155/2013/794054
JF - Algebra
PB - Hindawi Publishing Corporation
KW -
ER -