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On generalized inverses of singular matrix pencils

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Röbenack K., Reinschke K.

International Journal of Applied Mathematics and Computer Science

2011

tom 21

nr 1

161-172

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.

Ograniczanie wyników

1 International Journal of Applied Mathematics and Computer Science

1 Reinschke K.

1 Röbenack K.

1 2011

Wyniki wyszukiwania

On generalized inverses of singular matrix pencils