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 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. 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 | 0747-7171 |
| 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 |
|
