Details:
Title  On real factors of real interval polynomials  Author(s)  Hiroshi Sekigawa  Type  Article in Journal  Abstract  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 wellknown 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. Furthermore, for real multivariate polynomials p and f , we show a method for computing a nearest polynomial q to p in a weighted l ∞ norm such that f is a factor of q .  Keywords  Interval polynomial, Factor, Divisibility, Nearest polynomial, Polytope  ISSN  07477171 
URL 
http://www.sciencedirect.com/science/article/pii/S0747717108001296 
Language  English  Journal  Journal of Symbolic Computation  Volume  44  Number  7  Pages  908  922  Year  2009  Note  International Symposium on Symbolic and Algebraic Computation  Edition  0  Translation 
No  Refereed 
No 
