| Title | Some constructions for real algebraic curves |
| Author(s) | Elisabetta Fortuna, Patrizia M. Gianni, P. Parenti |
| Type | Article in Journal |
| Abstract | We address two basic questions for real algebraic curves. The first one is how to decide whether a real algebraic curve in the n -projective space contains some real point. We present an algorithm that reduces the original question to deciding whether the zero-set of a zero-dimensional ideal contains real points. The second part of the paper is devoted to giving necessary and sufficient conditions for the existence of a real line disjoint from a given real plane algebraic curve. An algorithm for testing whether these conditions are fulfilled is given. |
| Keywords | |
| ISSN | 0747-7171 |
| URL |
http://www.sciencedirect.com/science/article/pii/S0747717105001021 |
| Language | English |
| Journal | Journal of Symbolic Computation |
| Volume | 40 |
| Number | 4–5 |
| Pages | 1169 - 1179 |
| Year | 2005 |
| Note | Applications of Computer Algebra (ACA) 2001 and 2002 ACA Applications of Computer Algebra (ACA) 2001 and 2002 |
| Edition | 0 |
| Translation |
No |
| Refereed |
No |
