论文标题
多项式和应用的扰动
Perturbations of polynomials and applications
论文作者
论文摘要
在重新考虑了多项式在变形框架中的系数方面的连续性定理后，我们研究了两个多项式的更大共同分裂的稳定性，而其根部的扰动。我们将此结果应用于有限尺寸的线性算子的变形，尤其是对变形矩阵的根研究。
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.
