Sturm's theorem

In mathematics, Sturm's theorem is a symbolic procedure to determine the number of unique real roots of a polynomial. It was named for its discoverer, Jacques Charles François Sturm.

Related Topics:
Mathematics - Real - Root - Polynomial - Jacques Charles François Sturm

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Whereas the fundamental theorem of algebra readily yields the number of real or complex roots of a polynomial, counted according to their multiplicities, Sturm's theorem deals with real roots and disregards their multiplicities.

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