- Tytuł:
- Solutions of a class of singular linear systems of difference equations. Part 2
- Autorzy:
- Kanan, Asmaa M.
- Tematy:
-
Drazin inverse
Moore-Penrose generalized inverse
Singular linear difference systems - Pokaż więcej
- Wydawca:
- Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
- Powiązania:
- https://bibliotekanauki.pl/articles/1030133.pdf Link otwiera się w nowym oknie
- Opis:
- We extend results of Campbell of the linear systems of differential equations A x ̇+ Bx=f when A and B are rectangular, and results of Kanan of solution of a class of singular linear systems of difference equations A x_(n+1)+ Bx_n=f_n when A and B are square, to such systems of difference equations when A and B are rectangular. Explicit solutions of the last one are derived for several cases. One such is, when the matrix (λA+B) is one-to-one, another case is when such matrix is onto, for a scalar λ∈C. Also, explicit solutions are derived for the case that A is onto, and for the case that B is onto.
- Dostawca treści:
- Biblioteka Nauki
Artykuł