Name
Abstract | ||
|---|---|---|
In this paper we give an algorithm that detects real singularities, including singularities at infinity, and counts local branches and multiplicities of real rational curves in the affine n-space without knowing an implicitization. The main idea behind this is a generalization of the D-resultant (see [van den Essen, A., Yu, J.-T., 1997. The D-resultant, singularities and the degree of unfaithfulness. Proc. Amer. Math. Soc. 25 (3), 689-695]) to n rational functions. This allows us to find all real parameters corresponding to the real singularities between the solutions of a system of polynomials in one variable. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1016/j.jsc.2007.09.002 | J. Symb. Comput. |
Keywords | DocType | Volume |
main idea,van den,Generalized resultants,affine n-space,local branch,real singularity,real rational curve,space curve,Algebraic curves,real rational parametrization,real parameter,Rational parametrizations,Singular points,rational function | Journal | 44 |
Issue | ISSN | Citations |
5 | Journal of Symbolic Computation | 11 |
PageRank | References | Authors |
0.71 | 7 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Rosario Rubio | 1 | 65 | 5.62 |
| J. M. Serradilla | 2 | 11 | 0.71 |
| M. P. Vélez | 3 | 56 | 5.03 |