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math.NA2022
Generic eigenstructures of Hermitian pencils
Fernando De Terán, Andrii Dmytryshyn, Froilán M. Dopico
We obtain the generic complete eigenstructures of complex Hermitian matrix pencils with rank at most (with ). To do this, we prove that the set of such pen…
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…