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math.NA2019
Generic symmetric matrix polynomials with bounded rank and fixed odd grade
Fernando De Terán, Andrii Dmytryshyn, Froilán M. Dopico
We determine the generic complete eigenstructures for complex symmetric matrix polynomials of odd grade and rank at most . More precisely, we show that the set…
math.SP2019
Low rank perturbation of regular matrix pencils with symmetry structures
Fernando De Terán, Christian Mehl, Volker Mehrmann
The generic change of the Weierstrass Canonical Form of regular complex structured matrix pencils under generic structure-preserving additive low-rank perturbations is studied. Sev…