Note on the location of the roots of a polynomial
β Scribed by J. L. Walsh
- Publisher
- Springer-Verlag
- Year
- 1926
- Tongue
- French
- Weight
- 559 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0025-5874
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## By using the technique proposed in ), Trans. Amer. Math. Soc. 349, 2427 -2441] , we derive an exact formula for the mean number of complex roots of a complex random polynomial. The explicit evaluation of the average density is obtained in the case of multivariate normal coe cients and its co
Convergence properties of the SOR Weierstrass method for the simultaneous approximation of polynomial roots are considered. The choice of acceleration parameter is discussed.
The classical EnestΓΆm-Kekeya Theorem states that a polynomial \(p(z)=\) \(\sum_{i=0}^{n} a_{i} z^{\prime}\) satisfying \(0<a_{0} \leq a_{1} \leq \cdots \leq a_{n}\) has all its zeros in \(|z| \leq 1\). We extend this result to a larger class of polynomials by dropping the conditions that the coeffic