| Title | Solving polynomial systems via symbolic-numeric reduction to geometric involutive form |
| Author(s) | Gregory J. Reid, Lihong Zhi |
| Type | Article in Journal |
| Abstract | We briefly survey several existing methods for solving polynomial systems with inexact coefficients, then introduce our new symbolic-numeric method which is based on the geometric (Jet) theory of partial differential equations. The method is stable and robust. Numerical experiments illustrate the performance of the new method. |
| Keywords | Numerical linear algebra, Numeric elimination, Partial differential equations, Jet spaces, Involutive bases, Numeric jet geometry |
| ISSN | 0747-7171 |
| URL |
http://www.sciencedirect.com/science/article/pii/S0747717108001156 |
| Language | English |
| Journal | Journal of Symbolic Computation |
| Volume | 44 |
| Number | 3 |
| Pages | 280 - 291 |
| Year | 2009 |
| Note | Polynomial System Solving in honor of Daniel Lazard |
| Edition | 0 |
| Translation |
No |
| Refereed |
No |
