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arXiv · 1812.01437

Realization of tensor-product and of tensor-Factorization of rational functions

Daniel Alpay·Izchak Lewkowicz
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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.

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Daniel Alpay, Izchak Lewkowicz. 2018-11-30. Realization of tensor-product and of tensor-Factorization of rational functions. https://arxiv.org/abs/1812.01437

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