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

2011/10/27 by César Massri, Massri, Cesar · 2 citations
Mathematics · Physics and Astronomy · #Tensor decomposition and applications #Cosmology and Gravitation Theories #Black Holes and Theoretical Physics

paper · pdf · doi:10.48550/arxiv.1110.6217

Abstract

We provide an algorithm to compute the 2-norm maximum of a multilinear map\nover a product of spheres. As a corollary we give a method to compute the first\nsingular value of a linear map and an application to the theory of entangled\nstates in quantum physics. Also, we give an application to find the closest\nrank-one tensor of a given one.\n

Cited by

• The number of singular vector tuples and uniqueness of best rank one\n approximation of tensors
• The Number of Singular Vector Tuples and Uniqueness of Best Rank-One Approximation of Tensors

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