Last Updated
：2025/12/05
Sturm sequence
Noun
Japanese Meaning
数学用語。ある一変数多項式 p とその導関数に対して、ユークリッドの互除法の変形（変法）を用いて構成される多項式列。
（ plural ）
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(mathematics) For some univariate polynomial p, a sequence of polynomials associated with p and its derivative by a variant of Euclid's algorithm for polynomials.
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Sturm sequence
To determine the number of real roots of a polynomial on an interval, one constructs a Sturm sequence for the univariate polynomial by applying a modified Euclidean algorithm to the polynomial and its derivative.
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To determine the number of real roots of a polynomial on an interval, one constructs a Sturm sequence for the univariate polynomial by applying a modified Euclidean algorithm to the polynomial and its derivative.
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