Timeline for Prony series with a large number of terms
Current License: CC BY-SA 4.0
9 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 21, 2020 at 21:18 | answer | added | JimB | timeline score: 1 | |
| Aug 21, 2020 at 18:05 | history | bumped | CommunityBot | This question has answers that may be good or bad; the system has marked it active so that they can be reviewed. | |
| Jul 22, 2020 at 17:28 | comment | added | Hugh | @DanielLichtblau Don't be so pessimistic! I have just posted an answer for my Prony series approach that successfully calculates the roots of a polynomial of order 1499. Don't know how to prove that you can use a Prony series to approximate "any" function but I would guess it should be the same as a Fourier series. | |
| Jul 22, 2020 at 17:22 | answer | added | Hugh | timeline score: 0 | |
| Jul 22, 2020 at 15:49 | comment | added | Daniel Lichtblau | Is it known that a Prony series can give a close fit here? If so, my guess is that NSolve will be less than stellar for the case where many terms are required (high degree polynomial, that is). | |
| Jul 22, 2020 at 9:00 | history | tweeted | twitter.com/StackMma/status/1285862187475578881 | ||
| Jul 22, 2020 at 8:43 | comment | added | Hugh | The Prony series should be able to cope with this. Certainly, a Fourier series can. I think Prony can. Whereas Fourier would require as many points in the spectrum as time domain points Prony will use fewer depending on the accuracy required. | |
| Jul 22, 2020 at 6:24 | comment | added | Ulrich Neumann |
The amplitudes begin to grow for t>0.9, is this intended?
|
|
| Jul 21, 2020 at 22:24 | history | asked | Hugh | CC BY-SA 4.0 |