Realization of tensor-product and of tensor-Factorization of rational functions
Optimization and Control
2018-12-05 v1 Complex Variables
Abstract
We here first study the state space realization of a tensor-product of a pair of rational functions. At the expense of "inflating" the dimensions, we recover the classical expressions for realization of a regular product of rational functions. Then, under an additional assumption that the limit at infinity of a given rational function exists and is equal to identity, an explicit formula for a tensor-factorization of this function, is introduced.
Keywords
Cite
@article{arxiv.1812.01437,
title = {Realization of tensor-product and of tensor-Factorization of rational functions},
author = {Daniel Alpay and Izchak Lewkowicz},
journal= {arXiv preprint arXiv:1812.01437},
year = {2018}
}