Infinite elementary divisor structure-preserving transformations for polynomial matrices

Nicholas Karampetakis; Stavros Vologiannidis

International Journal of Applied Mathematics and Computer Science (2003)

  • Volume: 13, Issue: 4, page 493-503
  • ISSN: 1641-876X

Abstract

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The main purpose of this work is to propose new notions of equivalence between polynomial matrices that preserve both the finite and infinite elementary divisor structures. The approach we use is twofold: (a) the 'homogeneous polynomial matrix approach', where in place of the polynomial matrices we study their homogeneous polynomial matrix forms and use 2-D equivalence transformations in order to preserve their elementary divisor structure, and (b) the 'polynomial matrix approach', where some conditions between the 1-D polynomial matrices and their transforming matrices are proposed.

How to cite

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Karampetakis, Nicholas, and Vologiannidis, Stavros. "Infinite elementary divisor structure-preserving transformations for polynomial matrices." International Journal of Applied Mathematics and Computer Science 13.4 (2003): 493-503. <http://eudml.org/doc/207661>.

@article{Karampetakis2003,
abstract = {The main purpose of this work is to propose new notions of equivalence between polynomial matrices that preserve both the finite and infinite elementary divisor structures. The approach we use is twofold: (a) the 'homogeneous polynomial matrix approach', where in place of the polynomial matrices we study their homogeneous polynomial matrix forms and use 2-D equivalence transformations in order to preserve their elementary divisor structure, and (b) the 'polynomial matrix approach', where some conditions between the 1-D polynomial matrices and their transforming matrices are proposed.},
author = {Karampetakis, Nicholas, Vologiannidis, Stavros},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {transformation; equivalence; autoregressive representations; infinite elementary divisors},
language = {eng},
number = {4},
pages = {493-503},
title = {Infinite elementary divisor structure-preserving transformations for polynomial matrices},
url = {http://eudml.org/doc/207661},
volume = {13},
year = {2003},
}

TY - JOUR
AU - Karampetakis, Nicholas
AU - Vologiannidis, Stavros
TI - Infinite elementary divisor structure-preserving transformations for polynomial matrices
JO - International Journal of Applied Mathematics and Computer Science
PY - 2003
VL - 13
IS - 4
SP - 493
EP - 503
AB - The main purpose of this work is to propose new notions of equivalence between polynomial matrices that preserve both the finite and infinite elementary divisor structures. The approach we use is twofold: (a) the 'homogeneous polynomial matrix approach', where in place of the polynomial matrices we study their homogeneous polynomial matrix forms and use 2-D equivalence transformations in order to preserve their elementary divisor structure, and (b) the 'polynomial matrix approach', where some conditions between the 1-D polynomial matrices and their transforming matrices are proposed.
LA - eng
KW - transformation; equivalence; autoregressive representations; infinite elementary divisors
UR - http://eudml.org/doc/207661
ER -

References

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