A note on the location of polynomial roots

Details A note on the location of polynomial roots A note on the location of polynomial roots

2006-09-11

arxiv.org/abs/math/0609297v1

Mathematics

Numerical Analysis

7 pages

Scientific paper

We review some known inclusion results for the roots of a polynomial, and
adapt them to a conjecture recently presented by S. A. Vavasis. In particular,
we provide strict upper and lower bounds to the distance of the closest root of
a polynomial p(z) from a given root of p'(z).

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