Stability of Roots of Polynomials under Linear Combinations of Derivatives Branko Ćurgus and Vania Mascioni
نویسنده
چکیده
Let T = α0I + α1D + · · · + αnD n , where D is the differentiation operator and α0 = 0, and let f be a square-free polynomial with large minimum root separation. We prove that the roots of T f are close to the roots of f translated by −α1/α0.
منابع مشابه
Stability of Roots of Polynomials under Linear Combinations of Derivatives
Let T = α0I + α1D + · · · + αnD n , where D is the differentiation operator and α0 = 0, and let f be a square-free polynomial with large minimum root separation. We prove that the roots of T f are close to the roots of f translated by −α1/α0.
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