6 citations · 8 across the 6 of their papers we have counts for
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math.GM2005
Roots and polynomials as homeomorphic spaces
Branko Ćurgus, Vania Mascioni
We provide a unified, elementary, topological approach to the classical results stating the continuity of the complex roots of a polynomial with respect to its coefficients, and th…
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…