Last Updated:2025/12/05

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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多項式の区間内における実根の個数を決定するために、与えられた単変数多項式とその導関数に対して、変形されたユークリッドのアルゴリズムを適用してシュトゥルム列を構成する。

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