Frontiers of Mathematics in China >
Best rank one approximation of real symmetric tensors can be chosen symmetric
Received date: 24 May 2012
Accepted date: 19 Oct 2012
Published date: 01 Feb 2013
Copyright
We show that a best rank one approximation to a real symmetric tensor, which in principle can be nonsymmetric, can be chosen symmetric. Furthermore, a symmetric best rank one approximation to a symmetric tensor is unique if the tensor does not lie on a certain real algebraic variety.
Shmuel FRIEDLAND . Best rank one approximation of real symmetric tensors can be chosen symmetric[J]. Frontiers of Mathematics in China, 2013 , 8(1) : 19 -40 . DOI: 10.1007/s11464-012-0262-x
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