English

Right and Left Joint System Representation of a Rational Matrix Function in General Position (System Representation Theory for Dummies)

Classical Analysis and ODEs 2007-06-13 v1

Abstract

For a rational matrix function R of one variable in general position, the matrix functions R(x)/R(y) and R(y)\R(x) of two variables are considered. For these matrix functions of two variables, representations which are analogous to the system representations (or realizations) of a rational matrix function of one variable are constructed. This representation is called the joint right [the joint left] system representation.

Keywords

Cite

@article{arxiv.0706.1652,
  title  = {Right and Left Joint System Representation of a Rational Matrix Function in General Position (System Representation Theory for Dummies)},
  author = {Victor Katsnelson},
  journal= {arXiv preprint arXiv:0706.1652},
  year   = {2007}
}
R2 v1 2026-06-21T08:37:31.402Z