Timeline for Evaluate a Function to Full Machine Precision [closed]
Current License: CC BY-SA 3.0
10 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 25, 2016 at 19:14 | history | closed |
Andy Putman Franz Lemmermeyer Chris Godsil Nik Weaver Will Sawin |
Not suitable for this site | |
| Jan 25, 2016 at 18:26 | review | Close votes | |||
| Jan 25, 2016 at 19:21 | |||||
| Jan 25, 2016 at 18:16 | comment | added | user85729 | @AndyPutman How would we use the remainder of a Taylor approximation here? | |
| Jan 25, 2016 at 18:12 | comment | added | Federico Poloni | @user85729 Step 1, use a method to compute a Padé (or min-max) approximant with sufficiently low error on all of [-1,1]. Take as much time as needed, this is a precomputation step. Step 2, store its coefficients, and write a function that applies this rational function to $x$. | |
| Jan 25, 2016 at 18:10 | comment | added | Andy Putman | This is a standard exercise in using Taylor's theorem with remainder. I've voted to close. | |
| Jan 25, 2016 at 18:07 | comment | added | user85729 | @SteveHuntsman How does Padé Approximate help us here? I am failing to see how this would help. | |
| Jan 25, 2016 at 17:59 | comment | added | Carlo Beenakker | the relative error of the ratio will be the sum of the relative errors of numerator and denominator, so you'll just have to make sure these are small. | |
| Jan 25, 2016 at 17:59 | comment | added | Steve Huntsman | en.wikipedia.org/wiki/Pad%C3%A9_approximant | |
| Jan 25, 2016 at 17:45 | review | First posts | |||
| Jan 25, 2016 at 17:52 | |||||
| Jan 25, 2016 at 17:45 | history | asked | user85729 | CC BY-SA 3.0 |