Algorithm to find a maximum of a multilinear map over a product of spheres

Details Algorithm to find a maximum of a multilinear map over a product of spheres Algorithm to find a maximum of a multilinear map over a product of spheres

2011-10-27

arxiv.org/abs/1110.6217v2

Mathematics

Algebraic Geometry

Scientific paper

We will provide an effective algorithm to compute the 2-norm maximum of a multilinear map over a product of spheres. As a corollary we will get a method to compute the first singular value of a linear map and an application to the theory of entangled states in quantum physics. Also, an application to algebraic geometry; we will be able to find the closest rank one tensor to a given one.

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