Using resultants to build a defining polynomial and Thom's lemma to isolate the correct root, a single new variable per algebraic expression replaces several radical variables in polynomial reformulations.
Akritas and Adam W
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A new method for reducing algebraic programs to polynomial programs
Using resultants to build a defining polynomial and Thom's lemma to isolate the correct root, a single new variable per algebraic expression replaces several radical variables in polynomial reformulations.