Infinite Elementary Divisor Structure-Preserving Transformations for Polynomial Matrices

• Autorzy: Karampetakis N. P. , Vologiannidis S.
• 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

equivalence; transformation; infinite elementary divisors; autoregressive representations

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2003
• Tom: Vol. 13, no 4
• Strony: 493--503
• Opis fizyczny: Bibliogr. 16 poz.

Twórcy

autor

Karampetakis N. P.

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

autor

Vologiannidis S.

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

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

Bibliografia

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