Infinite elementary divisor structure-preserving transformations for polynomial matrices

• Autorzy: Nicholas P. Karampetakis , Stavros Vologiannidis
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

transformation; equivalence; autoregressive representations; infinite elementary divisors

• Wydawca: University of Zielona Gora Press
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2003
• Tom: 13
• Numer: 4
• Strony: 493-503

Daty

wydano

2003

otrzymano

2003-03-05

poprawiono

2003-09-03

Twórcy

autor

Nicholas P. Karampetakis

• Department of Mathematics, Aristotle University of Thessalonika, Thessalonika 54006, Greece

autor

Stavros Vologiannidis

• Department of Mathematics, Aristotle University of Thessalonika, Thessalonika 54006, Greece

Bibliografia

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