A reduced form for perturbed matrix polynomials
Proceedings of the 2002 international symposium on Symbolic and algebraic computation
Computer algebra handbook
Structural stability of polynomial matrices related to linear time-invariant singular systems
ISTASC'07 Proceedings of the 7th Conference on 7th WSEAS International Conference on Systems Theory and Scientific Computation - Volume 7
Local perturbations of generalized systems under feedback and derivative feedback
Computers & Mathematics with Applications
A local construction of the Smith normal form of a matrix polynomial
Journal of Symbolic Computation
Combinatorial analysis of generic matrix pencils
IPCO'05 Proceedings of the 11th international conference on Integer Programming and Combinatorial Optimization
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We derive versal deformations of the Kronecker canonical form by deriving the tangent space and orthogonal bases for the normal space to the orbits of strictly equivalent matrix pencils. These deformations reveal the local perturbation theory of matrix pencils related to the Kronecker canonical form. We also obtain a new singular value bound for the distance to the orbits of less generic pencils. The concepts, results, and their derivations are mainly expressed in the language of numerical linear algebra. We conclude with experiments and applications.