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Computing generalized inverse systems using matrix pencil methods

100%

Varga A.

International Journal of Applied Mathematics and Computer Science

2001

tom 11

nr 5

1055-1068

We address the numerically reliable computation of generalized inverses of rational matrices in descriptor state-space representation. We put particular emphasis on two classes of inverses: the weak generalized inverse and the Moore-Penrose pseudoinverse. By combining the underlying computational techniques, other types of inverses of rational matrices can be computed as well. The main computational ingredient to determine generalized inverses is the orthogonal reduction of the system matrix pencil to appropriate Kronecker-like forms.

Discretization of singular systems and error estimation

88%

Karampetakis N., Karamichalis R.

International Journal of Applied Mathematics and Computer Science

2014

tom 24

nr 1

65-73

This paper proposes a discretization technique for a descriptor differential system. The methodology used is both triangular first order hold discretization and zero order hold for the input function. Upper bounds for the error between the continuous and the discrete time solution are produced for both discretization methods and are shown to be better than any other existing method in the literature.

Ograniczanie wyników

2 International Journal of Applied Mathematics and Computer Science

1 Karamichalis R.

1 Karampetakis N.

1 Varga A.

1 2014

1 2001

Wyniki wyszukiwania

Computing generalized inverse systems using matrix pencil methods

Discretization of singular systems and error estimation