The permanent functions of tensors
Combinatorics
2018-06-04 v1 Functional Analysis
Abstract
By a tensor we mean a multidimensional array (matrix) or hypermatrix over a number field. This article aims to set an account of the studies on the permanent functions of tensors. We formulate the definitions of 1-permanent, 2-permanent, and -permanent of a tensor in terms of hyperplanes, planes and -planes of the tensor; we discuss the polytopes of stochastic tensors; at end we present an extension of the generalized matrix function for tensors.
Cite
@article{arxiv.1806.00002,
title = {The permanent functions of tensors},
author = {Qing-Wen Wang and Fuzhen Zhang},
journal= {arXiv preprint arXiv:1806.00002},
year = {2018}
}
Comments
6th International Conference on Matrix Analysis and Applications (ICMAA), Da Nang, Vietnam, June 14-18, 2017