Details:
| Title | Resultants of partially composed polynomials | | Author(s) | Manfred Minimair | | Type | Article in Journal | | Abstract | We study the structure of resultants of two homogeneous partially composed polynomials. By two homogeneous partially composed polynomials we mean a pair of polynomials of which one does not have any given composition structure and the other is obtained by composing a bivariate homogeneous polynomial with two bivariate homogeneous polynomials. The main contributions are two equivalent formulas, each representing the resultant of two partially composed polynomials as a certain iterated resultant of the component polynomials. Furthermore, in many cases, this iterated resultant can be computed with dramatically increased efficiency, as demonstrated by experiments. | | Keywords | Resultant, Composed polynomial, Utilizing structure for efficient computation | | ISSN | 0747-7171 |
| URL |
http://www.sciencedirect.com/science/article/pii/S0747717105001641 |
| Language | English | | Journal | Journal of Symbolic Computation | | Volume | 41 | | Number | 5 | | Pages | 591 - 602 | | Year | 2006 | | Edition | 0 | | Translation |
No | | Refereed |
No |
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