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UMINF 15.17

Geometry of spaces for matrix polynomial Fiedler linearizations

We study how small perturbations of matrix polynomials may change their elementary divisors and minimal indices by constructing the closure hierarchy graphs (strati cations) of orbits and bundles of matrix polynomial Fiedler linearizations. We show that the strati cation graphs do not depend on the choice of Fiedler linearization which means that all the spaces of the matrix polynomial Fiedler linearizations have the same geometry (topology). The results are illustrated by examples using the software tool StratiGraph.

Keywords

Fiedler linearization, bundle, canonical structure information, matrix pencils, matrix polynomials, orbit, stratifications

Authors

Andrii Dmytryshyn , Stefan Johansson , Bo Kågström and Paul Van Dooren

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Entry responsible: Andrii Dmytryshyn

Page Responsible: Frank Drewes
2022-09-30