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arxiv: 1110.6217 · v3 · pith:TCRBF6VQnew · submitted 2011-10-27 · 🧮 math.AG · math.NA

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

classification 🧮 math.AG math.NA
keywords algorithmapplicationcomputefindgivemaximummultilinearproduct
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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.

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