# 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

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topKarampetakis, 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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