Abstract
We 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. Under an additional assumption that the limit at infinity of a given rational function exists and is equal to identity, we introduce an explicit formula for a tensor factorization of this function.
| Original language | English |
|---|---|
| Pages (from-to) | 269-278 |
| Number of pages | 10 |
| Journal | Quantum Studies: Mathematics and Foundations |
| Volume | 6 |
| Issue number | 3 |
| DOIs | |
| State | Published - 1 Sep 2019 |
Keywords
- Factorization of rational functions
- State space realization
- Tensor product
ASJC Scopus subject areas
- Atomic and Molecular Physics, and Optics
- Mathematical Physics
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