Report
Stability of roots of polynomials under linear combinations of derivatives
| العنوان: | Stability of roots of polynomials under linear combinations of derivatives |
|---|---|
| المؤلفون: | Ćurgus, Branko, Mascioni, Vania |
| المصدر: | Constructive Approximation 32 (2010) no. 3, 523--541 |
| سنة النشر: | 2008 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Complex Variables, Mathematics - Classical Analysis and ODEs, 30C15 |
| الوصف: | Let $T=\alpha_0 I + \alpha_1 D + ...+\alpha_n D^n$, where $D$ is the differentiation operator and $\alpha_0\not= 0$, and let $f$ be a square-free polynomial with large minimum root separation. We prove that the roots of $Tf$ are close to the roots of $f$ translated by $-\alpha_1/\alpha_0$. Comment: 18 pages, 4 figures |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/0808.3972 |
| رقم الانضمام: | edsarx.0808.3972 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |