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

We provide an algorithm to compute the 2-norm maximum of a multilinear map over a product of spheres. As a corollary we give 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, we give an application to find the closest rank-one tensor of a given one.

preprint2012arXivOpen access
Cesar Massri
math.AGmath.NA
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Cesar Massri

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