Stability of roots of polynomials under linear combinations of derivatives - Mathematics > Complex VariablesReport as inadecuate




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Abstract: Let $T=\alpha 0 I + \alpha 1 D +

.+\alpha n D^n$, where $D$ is thedifferentiation operator and $\alpha 0 ot= 0$, and let $f$ be a square-freepolynomial with large minimum root separation. We prove that the roots of $Tf$are close to the roots of $f$ translated by $-\alpha 1-\alpha 0$.



Author: Branko Ćurgus, Vania Mascioni

Source: https://arxiv.org/







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