An equivalent matrix pencilfor bivariate polynomial matrices

Mohamed Boudellioua

International Journal of Applied Mathematics and Computer Science (2006)

  • Volume: 16, Issue: 2, page 175-181
  • ISSN: 1641-876X

Abstract

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In this paper, we present a simple algorithm for the reduction of a given bivariate polynomial matrix to a pencil form which is encountered in Fornasini-Marchesini's type of singular systems. It is shown that the resulting matrix pencil is related to the original polynomial matrix by the transformation of zero coprime equivalence. The exact form of both the matrix pencil and the transformation connecting it to the original matrix are established.

How to cite

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Boudellioua, Mohamed. "An equivalent matrix pencilfor bivariate polynomial matrices." International Journal of Applied Mathematics and Computer Science 16.2 (2006): 175-181. <http://eudml.org/doc/207782>.

@article{Boudellioua2006,
abstract = {In this paper, we present a simple algorithm for the reduction of a given bivariate polynomial matrix to a pencil form which is encountered in Fornasini-Marchesini's type of singular systems. It is shown that the resulting matrix pencil is related to the original polynomial matrix by the transformation of zero coprime equivalence. The exact form of both the matrix pencil and the transformation connecting it to the original matrix are established.},
author = {Boudellioua, Mohamed},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {invariant polynomials; matrix pencils; 2-D singular systems; invariant zeros; zero-coprime-equivalence; matrix pencil; bivariate polynomial matrix},
language = {eng},
number = {2},
pages = {175-181},
title = {An equivalent matrix pencilfor bivariate polynomial matrices},
url = {http://eudml.org/doc/207782},
volume = {16},
year = {2006},
}

TY - JOUR
AU - Boudellioua, Mohamed
TI - An equivalent matrix pencilfor bivariate polynomial matrices
JO - International Journal of Applied Mathematics and Computer Science
PY - 2006
VL - 16
IS - 2
SP - 175
EP - 181
AB - In this paper, we present a simple algorithm for the reduction of a given bivariate polynomial matrix to a pencil form which is encountered in Fornasini-Marchesini's type of singular systems. It is shown that the resulting matrix pencil is related to the original polynomial matrix by the transformation of zero coprime equivalence. The exact form of both the matrix pencil and the transformation connecting it to the original matrix are established.
LA - eng
KW - invariant polynomials; matrix pencils; 2-D singular systems; invariant zeros; zero-coprime-equivalence; matrix pencil; bivariate polynomial matrix
UR - http://eudml.org/doc/207782
ER -

References

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