Wu's method

Wu's method

Wu's method is a technique in computer algebra. It uses polynomial division to solve problems of the form:: forall x, y, z, ... P(x, y, z, ...) implies Q(x, y, z, ...)

where "P" and "Q" are conjunctions of polynomial equations. It is complete for such problems over the complex domain. It is named for Wen-Tsun Wu, who proposed it in 1978. It is related to the characteristic set method introduced by Ritt (1938).

Wu's method decides when one radical ideal in a polynomial ring contains another. It works particularly well to solve geometry theorems of the constructive type.


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