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On real factors of real interval polynomials

2007
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Proceedings of the 2007 international symposium on Symbolic and algebraic computation - ISSAC '07
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For a real multivariate interval polynomial P and a real multivariate polynomial f , we provide a rigorous method for deciding whether there is a polynomial p in P such that f is a factor of p. When P is univariate, there is a well-known criterion for whether there exists a polynomial p in P such that p(a) = 0 for a given real number a. Since p(a) = 0 if and only if x − a is a factor of p, our result is a generalization of the criterion to multivariate polynomials and higher degree factors.

doi:10.1145/1277548.1277593
dblp:conf/issac/Sekigawa07
fatcat:gjszym57obgg3cmwakagnywavm