Timeline for Solving polynomial equations when you know in which number field the solutions live
Current License: CC BY-SA 2.5
2 events
| when toggle format | what | by | license | comment | |
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| Apr 30, 2010 at 8:14 | comment | added | Junkie | Somewhat better? Find a local solution with invertible Jacobian, on a subset of equations maybe, and use a Newton technique to lift it high, so that LLL (p-adic) will find it in the number field. I don't think that $R$ or $C$ will help as well as p-adic for converging. What is the expected field degree, and size of the solutions? The largest I have seen with this is 8-10 variables and field degree 50-100. The work should be for finding the local solution. | |
| Oct 25, 2009 at 3:41 | history | answered | moonface | CC BY-SA 2.5 |