Abstract
A resultant system of a finite set of polynomials in two homogeneous variables is a finite set of polynomials in the coefficients of the original polynomials whose vanishing is a necessary and sufficient condition for the original polynomials to have a common non-trivial zero. We present an efficient general method for computing resultant systems. If there are s polynomials and each has degree at most d, the resultant system will have O(s 2 d) polynomials, each of which will have degree at most d 2.
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Received: February 4, 1998
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Encarnación, M. An Efficient Method for Computing Resultant Systems. AAECC 9, 243–245 (1998). https://doi.org/10.1007/s002000050105
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DOI: https://doi.org/10.1007/s002000050105