Parallel computation of real solving bivariate polynomial systems by zero-matching method

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Parallel computation of real solving bivariate polynomial systems by zero-matching method

We present a new algorithm for solving the real roots of a bivariate polynomial system R 1⁄4 ff ðx; yÞ; gðx; yÞg with a finite number of solutions by using a zero-matching method. The method is based on a lower bound for the bivariate polynomial system when the system is non-zero. Moreover, the multiplicities of the roots of R 1⁄4 0 can be obtained by the associated quotient ring technique and ...

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ژورنال

عنوان ژورنال: Applied Mathematics and Computation

سال: 2013

ISSN: 0096-3003

DOI: 10.1016/j.amc.2013.01.039