TY - JOUR
T1 - Realization of tensor product and of tensor factorization of rational functions
AU - Alpay, Daniel
AU - Lewkowicz, Izchak
N1 - Funding Information:
Daniel Alpay thanks the Foster G. and Mary McGaw Professorship in Mathematical Sciences, which supported this research.
Publisher Copyright:
© 2019, Chapman University.
PY - 2019/9/1
Y1 - 2019/9/1
N2 - 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.
AB - 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.
KW - Factorization of rational functions
KW - State space realization
KW - Tensor product
UR - http://www.scopus.com/inward/record.url?scp=85091761284&partnerID=8YFLogxK
U2 - 10.1007/s40509-019-00190-w
DO - 10.1007/s40509-019-00190-w
M3 - Article
AN - SCOPUS:85091761284
VL - 6
SP - 269
EP - 278
JO - Quantum Studies: Mathematics and Foundations
JF - Quantum Studies: Mathematics and Foundations
SN - 2196-5609
IS - 3
ER -