An algorithm to find a maximum of a multilinear map over a product of spheres

作者：Massri Cesar^*

来源：Journal of Approximation Theory, 2013, 166: 19-41.

DOI：10.1016/j.jat.2012.09.007

• Maximum
• Product of spheres
• Algorithm
• Multilinear map
• First singular value

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 a closest rank-one tensor of a given one.

• 出版日期2013-2