论文信息 - On the distance between the roots of a polynomial

On the distance between the roots of a polynomial

We prove a lower bound for the distance between two roots of a polynomial with complex coefficients. Such estimates are used to separate the roots of a polynomial.

Maurice Mignotte | M. Mignotte

[1] Ellis Horowitz,et al. The minimum root separation of a polynomial , 1974 .

[2] M. Mignotte,et al. Distance entre les racines d'un polynôme , 1979 .

[3] S. Rump. Polynomial minimum root separation , 1979 .

[4] K. Mahler. An inequality for the discriminant of a polynomial. , 1964 .

[5] E. Landau,et al. Sur quelques théorèmes de M. Petrovitch relatifs aux zéros des fonctions analytiques , 1905 .

[6] R. Güting,et al. Polynomials with multiple zeros , 1967 .