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Название: The Cheater's Homotopy: An Efficient Procedure for Solving Systems of Polynomial Equalions
Авторы: Li T.Y., Sauer T., Yorke J.A.
Abstract. A procedure is introduced for solving systems of polynomial equations that need to be solved repetitively with varying coefficients. The procedure is based on the cheater's homotopy, a continuation method that follows paths to all solutions. All solutions arc found with an amount of computational work roughly proportional to the actual number of solutions. Previous general methods normally require an amount of computation roughly proportional to the total degree.