Name
Abstract | ||
|---|---|---|
The aim of this paper is to introduce two new elimination procedures for algebraic systems of equations. The first one eliminates one variable from a finite set of polynomials with complex or real coefficients and it is based on a parametric version of Barnett’s Method for computing the greatest common divisor of a finite family of univariate polynomials. The second one, based on Hermite’s Method, deals with the global elimination of a block of variables from a finite set of multivariate polynomials with a particular structure (containing a Pham system). A common feature of both procedures is that the final step relies on a specific property of a real-valued inner product on vector spaces over the coefficient field: Gram’s Criterion. |
Year | DOI | Venue |
|---|---|---|
1999 | 10.1006/jsco.1998.0268 | Journal of Symbolic Computation - Special issue on polynomial elimination—algorithms and applications |
Keywords | DocType | Volume |
real algebraic geometry,simultaneous elimination | Journal | 28 |
Issue | ISSN | Citations |
1-2 | Journal of Symbolic Computation | 3 |
PageRank | References | Authors |
0.84 | 2 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Laureano Gonzalez-Vega | 1 | 199 | 17.77 |
| Neil Gonzalez-Campos | 2 | 3 | 0.84 |