Sturm sequence

Sturm sequence

[′stərm ‚sēkwəns] (mathematics) For a polynomial p (x), this is the sequence of functions ƒ0(x), ƒ1(x),…, where ƒ0(x) = p (x), ƒ1(x) = p ′(x), and ƒn (x) is the negative remainder that occurs by finding the greatest common divisor of ƒn-2(x) and ƒn-1(x) via the euclidean algorithm.