Cayley-Hamilton theorem for Drazin inverse matrix and standard inverse matrices

• Autorzy: Kaczorek T.

Identyfikatory

DOI

10.1515/bpasts-2016-0088

• Języki publikacji: EN

Abstrakty

EN

The classical Cayley-Hamilton theorem is extended to Drazin inverse matrices and to standard inverse matrices. It is shown that knowing the characteristic polynomial of the singular matrix or nonsingular matrix, it is possible to write the analog Cayley-Hamilton equations for Drazin inverse matrix and for standard inverse matrices.

Słowa kluczowe

EN

extension; Cayley-Hamilton theorem; characteristic equation; Drazin inverse; inverse matrix

PL

rozbudowa; twierdzenie Cayleya-Hamiltona; równanie charakterystyczne; macierz odwrotna; odwrotność Drazina

• Wydawca: Polska Akademia Nauk, Wydział IV Nauk Technicznych
• Czasopismo: Bulletin of the Polish Academy of Sciences. Technical Sciences
• Rocznik: 2016
• Tom: Vol. 64, nr 4
• Strony: 793--797
• Opis fizyczny: Bibliogr. 29 poz.

Twórcy

autor

Kaczorek T.

• Faculty of Electrical Engineering, Bialystok University of Technology, 45D Wiejska St., 15-351 Białystok

Bibliografia

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Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.