Timeline for Solving a particular nonlinear system of equalities
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
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| Apr 24, 2012 at 0:18 | answer | added | Brian Borchers | timeline score: 1 | |
| Apr 23, 2012 at 18:22 | history | edited | Jennifer Gao | CC BY-SA 3.0 |
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| Apr 23, 2012 at 18:22 | comment | added | Jennifer Gao | Thanks, Chris and Brian -- this is very helpful. Brian: Both $m$ and $n$ are quite small, say $10$ or so (and I have amended the question appropriately). Is there some sort of branch-and-bound based approach that might be feasible here? Chris: The actual problem is one communicated to me by a colleague involving estimation of some physical constants, so I do not have more detail yet to give (it will be forthcoming after we discuss it in the near future) | |
| Apr 23, 2012 at 18:10 | comment | added | Dima Pasechnik | your only real bet might be for the case when $a_{kj}=a_{1,j}$ for all $k$ and $j$. Then you could use Prony's method. | |
| Apr 23, 2012 at 17:26 | comment | added | Brian Borchers | Asymptotically, for large values of $n$ or $m$, you're in deep trouble. For small values of $m$ and $n$ there are some interesting and useful approaches that can work very well in practice. How big are your $m$ and $n$? | |
| Apr 23, 2012 at 16:13 | comment | added | Chris Godsil | The short answer is: very hard. You might get a better response if you stated the actual problem you want to solve. | |
| Apr 23, 2012 at 16:00 | history | asked | Jennifer Gao | CC BY-SA 3.0 |