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.
Oct 19, 2021
Oct 19, 2021
|Infinite elementary divisor structure-preserving transformations for polynomial matrices||Oct 19, 2021|
Karampetakis, Nicholas P. Tzekis, Panagiotis Korbicz, Józef - red. Uciński, Dariusz - red.
Lebiediewa, Swietlana Korbicz, Józef - red. Uciński, Dariusz - red.
Rouchon, Pierre Fliess, Michel - ed. Jai, Abdelhaq El - ed.
Boudellioua, Mohamed S. Korbicz, Józef - red. Uciński, Dariusz - red.
Kaczorek, Tadeusz (1932- ) Korbicz, Józef - red. Uciński, Dariusz - red.
Ghi Tran Nha Thu Nguyen Quang Huan Ngo Quang Trung Nguyen Tan Stankiewicz, Janina - red. nacz. Preston, Peter- red. jęz. Zmyślony, Roman - red. statyst. Skalik, Jan - red. Moczulska, Marta - red. Adamczyk, Janusz- red.
Dudzik, Rafał Kuczyński, Tadeusz - red.
Jarocka-Mikrut, Aleksandra Gleń, Piotr Kuczyński, Tadeusz - red.