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• W2262364136 abstract "Computing the real solutions to a system of polynomial equations is a challenging problem, particularly verifying that all solutions have been computed. We describe an approach that combines numerical algebraic geometry and sums of squares programming to test whether a given set is complete with respect to the real solution set. Specifically, we test whether the Zariski closure of that given set is indeed equal to the solution set of the real radical of the ideal generated by the given polynomials. Examples with finitely and infinitely many real solutions are provided, along with an example having polynomial inequalities." @default.
• W2262364136 created "2016-06-24" @default.
• W2262364136 creator A5007214938 @default.
• W2262364136 creator A5007324143 @default.
• W2262364136 creator A5010519883 @default.
• W2262364136 date "2016-02-01" @default.
• W2262364136 modified "2023-10-16" @default.
• W2262364136 title "Numerically validating the completeness of the real solution set of a system of polynomial equations" @default.
• W2262364136 cites W1529712732 @default.
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• W2262364136 hasPublicationYear "2016" @default.
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