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math.CV2008
Stability of roots of polynomials under linear combinations of derivatives
Branko Ćurgus, Vania Mascioni
Let , where is the differentiation operator and , and let be a square-free polynomial with large minimum root separation. We prov…
math.CV2005★ 1 cited
Perturbations of roots under linear transformations of polynomials
Branko Ćurgus, Vania Mascioni
Let $\cP_n$ be the complex vector space of all polynomials of degree at most . We give several characterizations of the linear operators $T\in\cL(\cP_n)$ for which there exists…