On the cost of approximating all roots of a complex polynomial
β Scribed by James Renegar
- Publisher
- Springer-Verlag
- Year
- 1985
- Tongue
- English
- Weight
- 656 KB
- Volume
- 32
- Category
- Article
- ISSN
- 0025-5610
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π SIMILAR VOLUMES
This paper, for any constant K, provides an exact formula for the average density of the distribution of the complex roots of equation q z q z 2 0 1 2 n y 1 Γ 4 ny1 Γ 4 ny1 qΠΈΠΈΠΈ q z s K where s a q ib and a and b are sequences of independent identically and normally distributed random variables and
## 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