Root Separation
المؤلف:
Mahler, K
المصدر:
"An Inequality for the Discriminant of a Polynomial." Michigan Math. J. 11
الجزء والصفحة:
...
23-2-2019
870
Root Separation
The root separation (or zero separation) of a polynomial 
with roots 
, 
, ... is defined by
There are lower bounds on how close two distinct roots of a polynomial can be. In particular, if 
is a squarefree polynomial of degree 
with discriminant 
, then the Mahler bound gives the minimum separation distance between any pair of roots as
REFERENCES:
Mahler, K. "An Inequality for the Discriminant of a Polynomial." Michigan Math. J. 11, 257-262, 1964.
Zippel, R. Effective Polynomial Computation. Boston, MA: Kluwer, pp. 186-187, 1993.
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