Upperbounds for roots of polynomials
β Scribed by A. Sluis
- Publisher
- Springer-Verlag
- Year
- 1970
- Tongue
- English
- Weight
- 774 KB
- Volume
- 15
- Category
- Article
- ISSN
- 0029-599X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We give bounds for the roots of such polynomials with complex coefficients. These bounds are much smaller than for general polynomials.
Conventional numerical methods for finding multiple roots of polynomials are inaccurate. The accuracy is unsatisfactory because the derivatives of the polynomial in the intermediate steps of the associated root-finding procedures are eliminated. Engineering applications require that this problem be
The fact that a real univariate polynomial misses some real roots is usually overcome by considering complex roots, but the price to pay for, is a complete loss of the sign structure that a set of real roots is endowed with (mutual position on the line, signs of the derivatives, etc.). In this paper