- Tytuł:
- On generalized inverses of singular matrix pencils
- Autorzy:
-
Röbenack, K.
Reinschke, K. - Powiązania:
- https://bibliotekanauki.pl/articles/907827.pdf
- Data publikacji:
- 2011
- Wydawca:
- Uniwersytet Zielonogórski. Oficyna Wydawnicza
- Tematy:
-
macierz
sieć linearna
wskaźnik Kroneckera
matrix pencils
Kronecker indices
Moore-Penrose inverse
Drazin inverse
linear networks - Opis:
- Linear time-invariant networks are modelled by linear differential-algebraic equations with constant coefficients. These equations can be represented by a matrix pencil. Many publications on this subject are restricted to regular matrix pencils. In particular, the influence of the Weierstrass structure of a regular pencil on the poles of its inverse is well known. In this paper we investigate singular matrix pencils. The relations between the Kronecker structure of a singular matrix pencil and the multiplicity of poles at zero of the Moore-Penrose inverse and the Drazin inverse of the rational matrix are investigated. We present example networks whose circuit equations yield singular matrix pencils.
- Źródło:
-
International Journal of Applied Mathematics and Computer Science; 2011, 21, 1; 161-172
1641-876X
2083-8492 - Pojawia się w:
- International Journal of Applied Mathematics and Computer Science
- Dostawca treści:
- Biblioteka Nauki
Artykuł