A note on a classical bound for the moduli of all zeros of apolynomial |
| |
Authors: | Boese FG Luther WJ |
| |
Affiliation: | Max-Planck Inst. fur Extraterrestrische Phys., Garching; |
| |
Abstract: | Considers the monic polynomial f(z):=z n+an-1zn-1+. . .+a0 in the complex variable z with complex coefficients. Under the assumption that the nonleading coefficients of f lie in the disk |z|⩽A the authors give an estimate for the smallest disk |z|⩽R containing all zeros of f. The estimate has a guaranteed precision of a few percent. They proceed similarly to obtain a zero-free disk |z |⩽r |
| |
Keywords: | |
|
|