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Infinite elementary divisor structure-preserving transformations for polynomial matrices

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Karampetakis N. P., Vologiannidis S.

International Journal of Applied Mathematics and Computer Science

2003

tom 13

nr 4

493-503

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.

Ograniczanie wyników

1 International Journal of Applied Mathematics and Computer Science

1 Karampetakis N. P.

1 Vologiannidis S.

1 2003

Wyniki wyszukiwania

Infinite elementary divisor structure-preserving transformations for polynomial matrices