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Perturbations of polynomials and applications (2208.09186v1)
Published 19 Aug 2022 in math.RA, cs.NA, and math.NA
Abstract: After reconsidering the theorem of continuity of the roots of a polynomial in terms of its coefficients in the deformation framework, we study the stability of the greater common divisor of two polynomials compared to perturbations on their roots. We apply this results to the study of deformations of a linear operator in finite dimension and in particular to the roots study of deformed matrices.
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