Creator:

Karampetakis, Nicholas P. ; Vologiannidis, Stavros

Contributor:

Korbicz, Józef (1951- ) - red. ; Uciński, Dariusz - red.

Title:

Infinite elementary divisor structure-preserving transformations for polynomial matrices

Group publication title:

AMCS, volume 13 (2003)

Subject and Keywords:

equivalence ; transformation ; infinite elementary divisors ; autoregressive representations

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.

Publisher:

Zielona Góra: Uniwersytet Zielonogórski

Date:

2003

Resource Type:

artykuł

Pages:

493-503

Source:

AMCS, volume 13, number 4 (2003) ; click here to follow the link

Language:

eng

License CC BY 4.0:

click here to follow the link

Rights:

Biblioteka Uniwersytetu Zielonogórskiego