Algorithm to find a maximum of a multilinear map over a product of spheres
Algebraic Geometry
2012-09-04 v3 Numerical Analysis
Abstract
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.
Keywords
Cite
@article{arxiv.1110.6217,
title = {Algorithm to find a maximum of a multilinear map over a product of spheres},
author = {Cesar Massri},
journal= {arXiv preprint arXiv:1110.6217},
year = {2012}
}