A new explicit coefficient-based root bound achieves worst-case relative overestimation 1.4655n, within 2% of the optimal lower bound for n at least 85.
¨Uber die obere Schranke des absoluten Betrages der Wurzeln einer algebraischen Gleichung
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Bounds for the maximum modulus of polynomial roots with nearly optimal worst-case overestimation
A new explicit coefficient-based root bound achieves worst-case relative overestimation 1.4655n, within 2% of the optimal lower bound for n at least 85.