Timeline for Numerical solution for a system of multivariate polynomial equations
Current License: CC BY-SA 2.5
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 18, 2011 at 11:46 | comment | added | Thierry Zell | Cool! I'm glad I could help. | |
| Feb 18, 2011 at 5:18 | comment | added | Danny Kane | PHCpack gives pretty good result (not perfect probably because of measurements noises). But it can give me a good prior for other method. I still have a long way to go, but there is hope. Thank you very much for your help. | |
| Feb 18, 2011 at 5:13 | vote | accept | Danny Kane | ||
| Feb 16, 2011 at 6:10 | comment | added | j.c. | Let me second the recommendation of Verschelde's PHCpack, the "black box mode" is very easy to use. | |
| Feb 16, 2011 at 4:30 | comment | added | Danny Kane | Thank you for your reply. I will look into it. Yes, I believe the number of solutions is finite, given that data collected ($\mathbf{l}_i and $\mathbf{R}_i$ in the original equations) from the manipulator moving randomly. In longer words, if the manipulator is moving in some special singular movements, then it is possible that the system is having infinite solutions. But those movements are usually special (eg., moving straight, no rotation). I believe random movements are enough to avoid those singular cases. An analytical solution may give you an description of those movements. | |
| Feb 16, 2011 at 4:03 | history | answered | Thierry Zell | CC BY-SA 2.5 |